SCIENTIFIC ABSTRACT TODOROV, I. - TODOROV, J.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001756010012-8
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: July 16, 2001
• Sequence Number: 12
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

TODOROV, 1.
We produced 1,080 ks. of rice p--r decare. p.20.
KOOP--RATI-/T10 ZEI-IEDELIZ, Sofyia, Vol. 11, no. 3, Mar. 1956.
SOs Monthly List of East European Accessions, (EEAK),LC, Vol. 5, No. 6 June 1956, Uncl.

Todorov, I. 'I"he labor collecti~,r; of the Staiko Dr. Feev
fuifilling Vie pledge :ziade in anmmr tuo the anf---eal. p.hl.
11 ~ . .1 D I
Vol. 11, no. 8, 1955 IIKA PRO:,'SIf-LLeI" Sf Sofiya, Bulgaria
SO: I'llonthly List of East ~,uropean Accessions, (EEA-L), LC, Iol. 5, ro. 2
riebruary, 1956

TODOOROV, 1.
'F, C" HI, -11 Ur- GY
Periodicals: ELFKT:Y'171111.,H-~~TIA. Vol. 9, 110. 8, Aug. 1:58.
TODORIOV, I. Losses of heat in th~ use of diesel engines at diesel-electric stations
and possibilities foi- its utilization. p. 20.
Monthly List of East European Accessions (E' OL) LC Vol. 3, No. 4, April 1959,
Uncluss.

TODOROT, IT.
New nethod of fitting of a pl&stuLss crown in a single sitting.
Stonatologiia, Sofia no.4:253-255 1954.
1. Is Okrushnata stamatologichma poliklinika, Sofia.
(GROWN AND BRIBORWORK,
plastmass, mingle stage fitting)

TODOROVA. A.,; TODOROV, Ios.
------
Considerations on emebic dysentery in Bulgaria. I. Xxperience
with laboratory diagnosis of Intamoeba histolvtica. Suvrem, mod.,
Sofia 5 no.4:34-41 1954.
1. 1% bakteriologichnata laboratorlia pri podelenie 20112-B.
(AHIBIASIS. IYUSTINAL, diagnosis,
laboratory technics)

RLCHXV, L.,,.,prof,;-.TODOROV, I.; STATEVA, St.; ANTOTA, V.
Certain biochemical indexes in infarA toxicosiso 6uvrez* zed.,
'Sofia 5 no.7:3-9 19,54.
1. Iz Klinikata po detski bolesti pri Mad. akademiVY.Chervenkov,
Sofiia (direktor: prof. L.Rachev)
(IMANT NMRtTION DISOTMS,
toxicosis, metab. in) .

KOLAROV, Ste; TODGROV, Ior.
- -
Clinical significance of laboratory, investigations in hepatitis
In childrene Suvrem. mad., Sofia 5 no-7:44-57 1954.
1. Is Klinikata po detaki bolesti pri Mad. akademila T..Ghervenkov
(Zav. katedrata: prof. L.Rachev)
I (HIPATITIS, IMCTIOUS, in Infant and child,
laboratory investigations in)

TODOROV, rordan
Paper filtration ultramethod of mlactrophorette fractionation of
erum proteins. Suv-rem.med.,Sofia. 5 no.10:99-103 1954.
:
. Iz ratedrate, po detski bolesti pri Med. akademiia Vulko Cher-
Rnkov (direktor: prof L. Rachav)
(BLOOD PROTBINS: determination,
alectrophorests. ultrwaicromethod)
(BUCTFLOPHMM is, -
of blood proteins. ultramicromethod)

TODDRDV, L; NINIO, Sh.
Momograpby in color index. Suvrem.med., Sofia 6 no.2:85-89 1955.
1. Iz Klinikata po detski bolesti pri Visehiia mod. institut
V.Chervenkov - Sofia (direktor: prof. L.Racbev)
(HEMOGLOBIN, determination,
color Index, nomograpby)

TODOROV, I.T.: ROKANOV, M.G.
Case of elliptocy-tosis. Suvrem.med.,Sofia 6 no-5:97-102 1955.
1. Iz detskata klinika pri Visahila meditainski inutitut V.
Chervenkov-Sofiia (zav.katedrata: prof.L. Racbev), i I detska
gradska bolnitsa-Sofiia (gl.lekar: B. Boiuklieva)
(ANFZIIA,
alliptocytosis, case reiport)

TODOROV, I.; KARWASHEV, At.
Universal chamber for paper electrophoresis. Suvrem. med., Sofia
7 no.6:78-83 1956.
1. Iz Katedrata po detski bolesti pri VMI - Sofiia (Zav. katedrata:
prof. L. Rachev).
(ELECTRDPHORESIS, apparatus and instruments,
universal chamber for paper electrophoreois (Bul))

To, L) o P, c v ) I -
TODOROV, I.; KARAKASHE7, At.
Filter paper electrophoresis of 111p6- and glycoproteine in the
blond. Suvrem. med., Sofia 7 no.6:84-88 1956.
1. Iz Katedrata po detski bolesti pri VMI - Sofiia.
(Zav. katedrata: Prot* L. Rachev),
(BLOOD PROTEINS, determination,
glycoproteins, electrophoresis (Bul))
(LIPOPROTEINS, in blood,
electrophoresis (Bul))

TODOROV, Ior.; DOCHEV, D.
Recent ntudieu on blood coaf-,,ulation. Suvrem. mad., Sofia 8 no.10:123-129
1937.
1. Iz Tnentralnata klinichna laboratorila-ISU (zav. laboratoriiata: I
Todorov).
(BLOOD GUGUIATION,
review (BUM

k -
TODOILAIT, loan, cereetator 1-fInniual 'C" J)
Ti3p, of sc-Yxoi to - - .3 f, vatirnn. ~';;.z
- .4 s r; ', ;'4., -)r (Iser
. B 15 no.1-:9-14 Ja IC'4.

BULGARIA
TODOROV, I., Dr, ODVS Lrn-ot identifieg, Burgas.
"Study of an Outbreak of Staphylococcus Poisoning as h Result of
Consumption of Sheep Cheese"
Sofia, Veterinarna Sbirkaj Vol 63, No 1, 19669 Pp 13-15.
Abstract: Because of the extensive production of sheep cheese in
Bulgaria, occasional contamination of the cheese with staphylococci
and theeiterotoxin formed by them is possible. Staphylococci pres-
ent in the cheese disappear on the 60thdAyof storage and the en-
terotoxin becomes inactive on the 90th day. In 1963 in a village
in the Burgas Region,cheese was distributed that was prepared from
unpasteurized milk into which Staph. aureus got from suppurating
udders of sheep. On donsumption 6f the ese, 28 persons were
poisonf~d. A strain of Staph. aureus identical with that isolated
from the feces of the h-o-s-p-17al-i-i-e-apatients was present in the
cheese and in samples taken from the sheep and the dairy, accord-
ing to tests carried out at the Burgas Region Sanitary Epidemio-
logical Station. The procedure used in identifying the strain is
outlined. The toxicity of the enterotoxin was established in a
biological test on kittens.

--L 2) U 4 -j, 6T
ACC NR. AF6012039 SOURGE CODE, ; BUIOOI-1165lOli2lCj-'310~',9911-,2'32
AUZ'M: Todorov 1.
ORG: Institute of Ph IMN Sofia; Joint Institute of Nuclear Research,_Rul~~,aZ
T IT LE Octuplet model formulation incorporating integral cha-rces only
i 5OURCE: Bulgarska akademya na naukite. Doklady, v. 18, no. 3, 1965, 199-202
TOPIC TAGS: charged particle, group theory
ABSTMU: Octuplat model of unitary symmetry I~,hich is very
auccosst
`ul in many ways, ooems to have one weak point. Namely, numerous
roprosantatione of the SU(3) group which serve as the basis of this model
do not cc-reBpond to real particle multiplats and even require the existence
of charpoz which are froctions of the electronic charge (quarks).' The author
propo3o6 ho introduction of s now group R(8; 3) whose set of unique
roproDontationa coincides exactly with the not of those SU(3) representations
which corrospond to integral Yalues of the charge and hyporcharge. He shows
that the "actor group SUWA3 is isomorphio to the group R(8; 3) of orthogonal
transfornations in the eight-aimencional space generated by the DO, 1)
,representation of the SU(5) group, and discusses other proportion of the now
group. This paper was presented by Academician Kh. Khristov on 28 October 10,64.
Orig. art. has: 11 formulas and 1 table. [JPRS1
SUB CODE: 20, 12 / SUBM DATE: none / OTH REF- 003 / SOV BEF: 004
Card 1/1 vMb

RANGELOVA, St.; KRUSTEV, T.; VASILENKO, S.; TODOROV 1.
Studies an the effectiveness of live antityphoid vaccine in
Bulgaria. Suvr, mad, 13 no.6:18-25 162.
1, Iz Nauchno-izeledovateld7kiia'institut po epidemiologiia i
mikrobiologiia (Direktor Vl. Kalaidzhiev).
(TYPHOID PARATYPHOID VACCINES)

-- -1-1--l'
1; ~' ~- --,~ - --.-
.i -1.
1, . 7, ~ . I I-

TODOROVs I.
Flow meters with automatic control for pressure and ter%perature* p. 33.
TEKRIIKA, SORIA, Bulgaria, Vol. 6, no. 3, 1959
101 Oct.
'Monthly List of East European Accessions (EEAI) LC, Vol. b, noJ1959, Uncl'-

TODOROV, 1. 1 SHRLUDKO A.
On the process of removing. dust in a e1wed -epwa - bound. bg,*,. dast-ocatching wallee
p. 12L
,, Bulgari&,,,Vo3.- 50t.. No@. - 2..- 1951,156 (published 1958)
GODISHNIK. KHDaLA.- Soflia j
Kmthly- List .-of - Eas-t Acceasim-(EFAL)--LC,.Vol~.9,-No- 1 January 1960
Uncl.

TODCJROII~ I.
;,imending the (awlity of Sa-f-ers Used in the l'orcelain-Faience. Leka
V _
Promishlenost (LiLht Industry), #11:19: Nov 54

TODO W, I -
le,-Ice "Urlnr, the dry-'_ng -.race's. ;.
Reducing defects in porc;-,la-*n anr! I'a' .
L',,-,KA '?,~G)MISHLI.,',11'057, Sofiya, Vol. 4, no. 3, !'~55;.
SO: '-'-)nthly Idst of Er,.st Europear. Accession, (,,E,,tL), LC, Vol. ,~, n--.). 10, Oct. 1055,
Uncl.

BULGARIA
TODOROV, Il.
Sofia, Farrutsiya, No. 1, Jan-Fab 1963, pp 33-34
"Technicum for Assistant-PharmaciEts in Varna."
(1)

TODOROVO LN'.
Certain age peculiarities of the effect of the hypophyseal somato-
tropic hormone on nacleic acid metabolism. Uch. zap-:KHGU 108:213-
225 160. NIR& 14-- 3)
1. Kafedra fiziologii cheloveka
gosudarstvennogo universiteta.
(PITUITARY BOPYI)
i zhivotnykh Khar1kovskogo
(AGE) *C,LEIC ACIDS)

V.-MRCAT, I.T. I
T I I f-.Cry- 01, re r-~rv.,ie I-Ata 4~ - 'on s --!- -* ; ,-.7 , ~ ~ ; -,! - ,,
." , . - - n c~ f --, , - ~~ --6 - I ---
- .- , :~l -- - . .- - -- - Y
I ~ e:
L9 -- ,,~- 1-
Particles. flap. m4t. na-uk 20 'n .4'," ~~- :~'7 .. -A~~
(MllRA 18.8)

Z115-0 0 67253
AUTHORS: -Tavkhelidze, A. N , Tod orov-it-1-i-T SOV/20-129-4-15/66
Chernikovp N. A.
TITLE: The Spectral Properties of the Green Function in a Model of
the jleaQn Field With a Fixed Source
17
P~21ODICAL: Dokl:ady Akademii nauk SSSR, 1959, Vol 129, Nr 4, PP 769 - 772
(USSR)
ABSTRACT: First, attention is briefly directed towards various models of
the quantum field theory. If in Chew's model (Hof 3) the nucleon
spin is not taken into acoountp and if meson energy is assumed
not to depend on the momentum, the investigation of this model
is reduced to the solution of a system of two ordinary differ-
ential equations of second order. In the present article the
properties of the Green function in such a simplified model are
investigated. It is shown that, in the case of a rigorous treat-
ment of the problem, no paradoxa of the type of "negative pro-
babilities" occur. The Hamiltonian of the boson field with a
fixed formion source has the following form in the charge-sym-
metric theory:
Card 1A

67253
The Spectral Properties of the Green Function in a SOV/20-129-4-15/6a
Xodel of the Meson Field With a Fixed Source
+ ~n+fn) +7- &)k (A~+ Ak + B~ "k + Ck Ck)
p k
90 L Rk f(A + + + + I + C+)(T+ TP -
k k + B~)~~Tn + (Ai + Bd~n Tp + 7-2 (Ck k p
Here A 9 and C A~q + ,and C+) denote the anni-
n Q - k ' BIC k ( + N. k
hilation operators (production operators) qf the positive,
negative, and neutral mesons; and t (T' and t") - the anni-
+P n P n
hilation. operators (production operators) of the nucleons;
V2 ' R - the form factor of the nucleons. The proton propaga-
Wk k
tor may be written down in the form S(t-t')
i , where tp(t) is an operator in
N
Heisenberg representation: i dt - tupmx-1411pm'~Hpm
- +p- The proton propagator may be written down in form of a /
scalar product. The operator of the nucleon number t+ tp + ~n+ +n
Card 2/4 P

67251
The Spectral Properties of the Green Function in a SOV/20-129-4-15/68
Nodel of the Meson Field With a Fixed Source
has four linearly independent eigenfunotional two vacuum func-
tions$ one one-nucleon function and one two-nucleon function.
Green's function of the proton satisfies the equation
(Z - Z)g(E) - ~cq where ~c - ~' 10> is the amplitude of state
with a mathematical proton .00 is a solution of the modified
Schroedinger equation i Ri - %~ ., 6 6(t) with the condition
9t -0
0, where t N + e + a + b
where a and b are either VL-mesons or )-quanta. With the
method of Logunov Z_Ref 17 the author reduces the problem
to the determination of tfie dispersion relations for the
process N + v + a + b , where v is a certain virtual
photon. Similar problems have been investigated in Z-Hef 2,3,4-7
The kinematics of the considered processes is considered in
the general case. Finally the author shows how it is possible
to generalize the proof in I-Ref 4-7 of the dispersion re-.
lations for non-elastic processes to the present case.
Card 1/2

23
Dispersion Relations for Virtual Photo Generation SOV/155-58-5-23/37
of Several Bose Particles
Tavkhelidze is mentioned in the paper. The author thanks
A.A. Logunov for the guidance of the paper.
There are 7 references, 5 of which ar~ Soviot, 1 English,
and 1 Italian.
ASSOCIATION: Obl'yedinenyy.inatitut yadernykh issledovaniy (United Institute
for Nuclear Research) b,-11,
-3UBMLI TTED t September 6, 1958
Card 2/2

BULGLRV~Theoreticai Physics - Classic Electrodynamics. Classic Fleld B-3
Mieory
Abs Jour : Ref Zhur - Fizika, No 3, 1-959, No 4856
i,utbor :Yalitzin Nikola St., Todorov Ivan
Inst :Physics Inlititute, Bulg-a-r-ra-n-7x--aTe-wy of Sciences
Title :Investigation of the P0664bilitj of Repreeentation ef a
Photon with the tdd of an Electromagnetic Modcl.
Orig Pub :Dokl. Bolg. LN, 195B, 11, No 1, 13-3.6
Abstract :It is assumed that the photon can be c-escribed ~rith the aid
of a Maxwell's equations, and the current vector entering
into these equations corresponds to electric charCes moving
with the velocity of light. 1~ regular solution of th,3se
equations is found and this solution is investigated. --
G.A. Zaytsev
Card : 1/1

TODOROV, I. T., Cand Phys-Math Sci -- (diss) "Theory of dispersion
relations for inelastic processes." /-Dubna, Publishing depaIrtment,
19~07. 10 pp; (Joint Inst of Nuclear-Research, Laboratory of Theor-
etical Physics); 160 copies; price not given; printed on duplicating
machine; bibliography at end of text (13 entries); (KL, 17-60, 140)

TODORO.V,,I.T. (Bolgariya)
A uniqueness theoram for the wave equation;
of V.A. Fok - F.I. Frank1l. Usp.mat.nauk 13
(Differential equations, Partial)
con-menting on the dismssion.
no.2:211-213 Mr-Ap 158.
(MIRA 11:4)

AUTHOR- Todorov, I.T., Zidarov, D4 S0V20-12O-2-!O/r63
TITLE: n the Unique Determination of the Form of the Attracting Body
by the Values of its Outer Potential (0 yedinstvennosti
opredeleniya formy prityagiva3iishchego tela po znacheniyam yego
vneshnego potentsiala)
PERIODICAL: Doklady Akademii nauk SSSR, 1958, Vol 120,Nr 2, pp 262-264 (USSR)
ABSTRACTa Let T 1 and T 2 be bodies of the same constant density with the
surfaces S and S Let S i (u,=1,2) denote the part of S,,,
1 2- 0c
lying in the interior of T UT '; let S S L)S Let S be
- 1 - 2 1
the contour of the body T 1UT 2 and S 0( S n s... Let the
surfaces S be piecewise smooth and the surfaces S., be of
positive meas4re.
Theorem: Let R be the radius vector with the origin in 0, V- vector
of the outer normal to So(, V I = i , dS element of area of SV
If there exists a point 0 so that
I (R-i", 1) dS --- (P-Z'9 V d S
Card 1/2 S S

Sov
On the Unique Determination of the Form of the Attracting Body 120-120-2-10163
by the Values of its Outer Potential
is valid, then the bodies Tx-are identical if they generate
the same outer potentials outside of T 1and T 2-
Theorem: Let the z-axis of the rectangular system x,y,z be
chosen so that
Vz, 9 )1 dS 4 f J( Vz, v )jdS,
where 9z denotes the unit vector of the z-axis. If the bodies T,-
outside of T1U T2 generate the same potentials, then they are
identical.
The proofs are based on the method of Novikov /Ref 1] and
Sretenskiy [Ref 2] .
There are 3 Soviet references.
ASSOCIATION:Fizicheskiy institut Bolgarskoy Akademii nauk (Physics Institute
of the Bulgarian Academy of Sciences)
PRESENTED: January 14, 1958, by S.L.Sobolev, Academician
SUBMITTED: December 11, 1957
Card 2/2 1. ~kithematics--Theory

LOGUM, A. A-. and TWOR
7T9~~~-
"on the Proof oi Dispassion Ralations for Inelastic Scattering. "
Nuclear Physics, Vol. 10, No. 5, 1959, 552-563 (No. Rol InA Publ. Co, Ansterdam)
A derivation of Dispersion Relations for the Inelastic process
(p p"4~7?- '4-ft') is presented based on a theorem of analytic continuation.
The one-micloon terms are correlated vith the amplitudes of simpler pzreeses.
Lab. Theoretical Physics, Joint Inst. Nuclear Research, Dubna, UM

-ACC NRs AP6005465 SOURCE CODE: UR/0053/bb/OM/OOV0051/0091
'AUTHOR: Logunov, A. A.;
eMen Van Kh Todorov., I. T.
ORG: Institute of High-EneW Pborsi (In energ1y); Joint
cs stitut fiziki vysokikh
.Institu;e
of Nuclear Research (Ob"yedinennyy institut yadernykh iusledovaniy)
TITLE:
SOURCE:
2,1
Asymptotic relations between the scatteri . in local fig* theory
Uspekhi fizicbeskikh nauk,, v. 88, no. 1, 1966, 51-91
TOPIC TAGS: quantum field theory, asyinptotic property, scattering amplitude, strong
nuclear interaction, scattering cross section, particle production, differential cross
section, meson, baryon, fermion, pbotoproduction, Compton effect
ABSTRACT: This is a review article devoted to the derivation of rigorous asymptotic
relations between the scattering amplitudes in high-energy interactions and the re-
sultant relations between such characteristics as cross sections, polarizations, and
others) from the point of view of their agreement with the most recent experimental
data. Special attention is paid to the hypotheses on whose basis Vie asymptotic re-
lations are derived. The authors review systematically the asymptrAic relations de-
rived by many earlier investigators, as well as related papers dealing with the de-
rivation of asymptotic relations in the presence of higher symmetries of strong inter-
actions and in processes involving particle production. The section headinga are:
1. Estimated upper bounds of the growth of thecrogaisection at high energies. 1.1.
Limitation imposed by the microcaueality princijie~6fi~amplitude-growth. 1.2. Condi-
tions of polynomial boundedness of the causal amplitude of etlastic scattering. 1-3-

L 24243-66
-ACC NR: Ap6w5465
01
Estimates of the growth of the cross sections. 2. Asymptotic properties of the scat-
tering amplitude of scal particles. 2.1. The Phragmen-Lindelof theorem and asymp-
totic equality of differential cross sections. 2.2. Case of elastic scattering.
Equality of total cross sections. 3. Asymptotic properties of meson-baryon scatter-
ing- 3-1- Symmetry properties of the amplitude- 3.2. Asymptotic equality of differ-
ential cross sections. 3-3. Asymptotic relations between polarizations of fermions
in the final state- 3.4. The complete experiment in the case of elastic meson-nucleon
scattering. 4. Asymptotic properties of baryon-baryon scattering amplitudes. 4.1.
Symmetry properties of the amplitudeso 4*2,s Asymptatic equality of the differential
cross sections. 4-3. Asymptotic prop,-~rties of the polarization effects- 5. Asymptot-
ic properties of photoproduction and Compton-effect amplitudes. 5-1. Photoproduction
of mesons on baryons. 5.2. Compton effect. 6. Asymptotic relations between forward
elastic scattering amplitudes. 7- Highersymmetries of strong interactions and asymp
tatic relationz between the amplitudes of meson-baryon scattering and photproduction.
7*1. Meson-baryon scattering and photop!roduction in schemes with higher symmetries.
7:2. Higher symmetries and relations between amplitudes- 7-3- Asymptotic relations
fo*-cross sections and polarizations. 8. Asymptotic relations between amplitudes of
processes with variable particle mmber. 8il. Kinematics. 8.2. Properties of asymp-
totic amplitude. 8-3. Asymptotic.equaUty of-differential cross sections. 9. Asymp-
totic behavior of form factors. 10. Conclusion. Orig. art. has: 246 formulas and
1 table.
SUB CODE.- 20/ .4 ORIG WW: 023/ OTH MW.' 032

Vasilly Sergeyevic' ; T v
VLADIMIROV, _94QkiO I I.T.f red.,
(Mlethords in the theor-i of c;.' never--l
Variables] Metody teorii fuructsii mnoglkh kompleksrorkh
peremenn.ykh. %Mo3kva, Nauka, 19U. 411 p.
(1,111V1 17:10)

LOGUNOV, A.A.; RGUYEN VAN KYv-U-. TODOROV, I.T.; KHRUSTALEV, O.A.
Asymptotic relations between cross sections in local field
theory. Zhur, eksp. i teor. fiz. 46 no.3:1079-1089 Mr164.
(MIRA 17:5)
1. Obl'yedinennyy institut yadernykh isoledovaniy.

ACCESSION NR: AP4025941 S/0056A4/046/003/1079/1089
AUTHOR: Logunov, A. A.; Nguyen, Van ]Khlyeu; Todorov, 1. T.;
Xbrustalev, 0& A*
TITLE: Asymptotic relations between cross sections in local field
theory
SOURCE: Zhurnal eksperimentallnoy i teoreticheskoy fiziki, v. 46,
no. 3, 1964, 1079-1089
TOPIC TAGS: local field theory, cross section, asymptotic cross
section relations, Phragmen Lindelof theorem, Pbmeranchuk theorem,
antiparticle, neutral pion scattering, kaon scattering, pion proton
scattering, kaon proton scattering
ABSTRACT: It is shown that, by starting from the Phragmen-Lindelof
theorem and using the general principles of relativistic local quan-
tum field theory, several asymptotic relations can be established
Card

ACCESSION NR: AP4025941
not only between the total cross sections of various processes but
also their differential cross sections. Starting with the related
processes of scattering of scalar particles
a + b a + b
1 1 2 2
a + b a + b
2 1 1 2
(the bar denotes the antiparticle), the asymptotic properties of th
e
scattering amplitude are derived under certain assumptions and, in
particular, the Pomeranchuk theorem is obtained for this case. The
method is then extended to include the case when the particles b have,
spin 1/2 while the particles a have spin zero and to process which
are described in the e2 approximation in terms of electromagnetic
form factors. All the deductions are based on the assumption that
the cross sections do not oscillate at high energies. It is con-
Card

ACCESSION NR: AP4025941
:cluded that the differential cross sections of processes M and (II):
bare asymptotically equal, that the total cross sections of interac-
Ition of particles and antiparticles are equal if the forward elastic
scattering amplitude does not grow too rapidly, that the forward dif-,
ferential scattering cross section is proportional to the square of
the total cross section in the case of scattering of neutral pions
or kaons by protons, and that the limiting values of the form factor
,are equal when the momentum transfer (t) becomes infinite. "In con-
cluslon the authors are deeply grateful to N. N. Bogolyubov for in-
terest in the work and for stimulating discussion, and also to S. M.
Bilen'kiy, D. I. Blokhintsev, V.-S. Vladimirov, M. A. Markov,.N. M.
'Meyman, Xh. Ya. Khristov, and P. Suranyi for useful remarks." Orig.
art. has: 43 formulas.
ASSOCIATION: Ob"yedinenny*y institut yaderny*kh iseledovaniy (Joint
Institute of Nuclear Research)
C,rd 3/,4~

LOGUNOV$ A.A. (Dubna); LYU I-CHEN' (Liu I-ch'An] (Dubna); TODOROV, I.T.
(Dubna); CHERNIKOV,-N.A. (Dubna)
Dispersion relations and analytic properties of partial
amplitudes in perturbation theory. Ukr. mat. zhur. 15 no.3.-
250-276 163. (MIRA 16:12)

LOGUNOV, AIA.; LIU 1 -GEN; [Liu I-chl;nj; TODOROV, I.T~; CEIMIKOV, D.A.
.Dispersion relations and the analytic properties of partial
amplitudes in the pertubation theory. Analele mat 17 no.4:F2-
112 O-D 163.

LOGUNOV, A.A.; TCDCROV, I.T.; CHFIMKOV,*.N,A.
_w,wAdwMMb ~-~
Surface of singular points in the Feyman diagram. Godishnik
fia mat 55 no.2:3.17-137 t60/161 [publ. *621.

LYU I-CHENI [Liu 1-chlenlk~~q~
.,
Integral representation of the vertex part in perturbation
theory. Dokl.AN SWR 148 no.4t8O6-8O9 F 163. (MIRA 16W
1, Ob"yedinennyy institut yadernykh issledovaniy. 'Predstavlano
akademikom N.N.Bogolyubovym.
(Pertubrations) (Nuclear physics)

LYU I-C4~AN[Liu I-chl8n); tbDOROV, I.T.
(Charaqperistice of some Feynman diagrams] Osobennosti
nekotorykh diagramm Feinmana.. Dubna, Ob"edinennyi in-t
iadernykh issledovanii, 1963. 9 P. (MIRA 16:6)
(Quantum electrodynamics)

ME:STVMSHVM9 M.A.; TODOROV, I.T.
Analytic properties of the mason-nucleon vertex portion and the
scattering amplitude of poeudoocalar mesons in the theory of
perturbations. Dokl. AV SSSR 3.48 no.3:562-565 Ja 163. (MIRA 1632)
1. Ob"yedinennyy institut yadernykh isslodovani-y. PredBtavleno
akademikom N.N. Bogolyubovym.
(Mesons-Scattering) (Perturbation)

LOGUNOV, A.A.; TODOROV, I.T.; CHERNIKOV, N.A.
Generalization of Symanzik's theorem on the majorization of
Feynman diagrams. Zhur.eksp. i teor. fiz. 42 no.5:1285-1293 Yq
,62. (MIRA 15:9)
1. Ob".vedinennyy institut yadernykh issledovaniy.
(Graphic methods) (Particles (Nuclear physics))

3/020/63/148/004/014/025
B102/B186
AUTHORS: Liu I-cheng, Todorov, 1. T.
TITLE: Integral representation of the vertex part in perturbation
theory
PERIODICAL: Akademiya nauk SSSR. Doklady, v. 148, no. 4, 1963, 806-809
3
2/ "1
graph D R Ir majorates all strongly coupled graphs of the nucleon-
---- N
1 3 2
photon vertex part, i. e. in the space of external Euclidean momenta in
the region G
F,
la3P2 + alaip'. + ala2p,*,
QD (0(, P) al + a.2+.a3 (OCI a,) tit. oc'M2 < 0
TEXT: A. A. Logunov et al. (e. g. DAN 135, 8011 1960) have shown that the
Card 1/4

S/020/63/148/004/014/025
Integral representation of the vertex B102/B186
This vesult is now applied to (1) determining a region in the space of the
complex variables z 2 2 p2 in which the contribution of any
1=P19 z2-p2' Z3' 3
strongly coupled graph of the vertex part is analyticall (2) deriving an
integral representation for an arbitrary graph which reflbcts completely
the esLablished analytical properties of the vertex part (N. Nakanishi
Suppl. Progr. Theor. Phys., no. 18, 1, 1961). The integral representation
is obtained as
00
F (z) dil. dTI, dil:, dp / (9, P)
liz - P + ie 0 T13).
0 0 0 9.0')
where
PC (n) = max 11z, - TIZ iq,z, + q2zl d- W3, (12)
ZEO
7jj=[Aj(a)+Aj(a)+A3(a)j-1Al(a), i=1,2,3;
3 1 1 ~ 10
P Aj (all a,171!
F
Card 21/4

S/020/63/148/004/014/025
Integral representation of the vertex ... B102/Ble6
is a generalized weight furiction. These results can be used to
obiain iptegral represen'tations for scattering amplitudes. This is done
for the case of-NN scattering. With
S = (Pi + p,)2 < 4M',I.h + psr~ < 40, u* (pg + par < 4e
one obtains
t 6'. ap dp
at +0 CE) U -I as + UOP,
+ f3 (CC, P)
po (a) 4 (Mgm + m2 (I - a)j.
0s).
Card 3/4

5/020/63/148/004/014/M
Integral representation of the Vertex... B102/B186-
.There is 1 figure.
ASSOCIATION: Ob"yedinennyy institut yadernykh iseledavaniy (joint
Inotitute- or Nuclear Research)
PRF,G-FN'i'i-;D Ab8u-,-~t 14; N. H. Bc.---)iyubov, Acad.entolan
SUBMITTED. August 2. 1962

Card 4/4

S/020/6 3/148/003/016/03 7
Bi 0&/B180
AUTHORS: Mestvirishvili, M. A., Todorov, I. T.
TITLE: Analytical properties.of the meson-nucleon vertex part and the
scattering amplitudes of pseudoscalar me3onB in perturbation
theory
PERIODICAL: Akademiya nauk SS"SR. Doklady, v. 148, no. 3, 1963, 562-565
TEXT: Using the method of Feynman graph majoration and taking the
pseudoscalar behavior of pions into consideration, the authors determined
the analytical regions of the primitive graphs for the meson-nucleon vertex
part and of the meoon-meson scattering amplitude. Theorem 1: All closely
connected graphs of the pion-nucloon vertbx part are majorated by the graphs
3 3
and The rings indicate external nodes, thick lines
10 2
refer to nucleons, dotted lines to pions. If p 2 _ P2 . M2, the vertex
2 1 2
function is analytical in respect of z = P 3 in the complex plane z cutting
Card 1/2

Analytical properties of the meson-
S/020/63/148/003/016/0707
BlOB/B180
the section from 9m2 (m - pion mass) to infinity from the real axis. ""his
holds for any order of perturbation theory. Theorem 2: All clGsely
connected pio.n-pion scattering graphs are majorated by the graph
If the external meson momenta satisfy the condition p 2 . m2, then
all closely connected graptin of pion-pion scattering will be analytical in
2 2 2 2 2
the triangle s'. (p I + P2) ~ 4m , t = (p 1 + p3) --,,4m, u - (pi + -R~ 0 2
2
in the plane s+t+u = 4m . There are 3 figures.
ASSOCIATION: Obl'yedinennyy institut yadernykh issledovaniy (Joint Institute
of Nuclear Research)
PRESENTED: August 1, 1962, by N. N. Bogolyubov, Academician
SUBMITTED: June 30, 1962
Card 2/2

LP I-CHM' Eliu I-chlen]; TODOROV, I.T.; SARMITSEVA, V.R., tekhn.
red,
(Integral representation of the vertex part in perturba-
tion theory)Integrallnoo predstavlenie vershinnoi chasti v
teorii vo=ushchenii. Dubna, Oblledinenrqi in-t iadornykh
issl., 1962. 6 p. (MIRA 15:10)
(Quantwa field theory) (Perturbation)

LOGUNOV, A.A.; LYU I-CHE211; TODOROV; I.T.; CHERNIKOV, K.A.;
SARRITSEVA) V.R.,-fe-k-hn. redo
[Dispersion relatious and analytic properties of partial
amplitudes in the perturbation theory]Dispersionnye sootno-
sheniia i analiticheskie svoistva partsiallnykh anplitud. v
teorii vomr..ushchenii. Dubna, ObIledinenrwi in-t iadernykh
issl.) 1962. 31 p. (NMA 15:10)
(Mesons-Scattering) (Nucleons-Scattering)
(Perturbation)

LOGUNOV, A. A., TODOROV, 1. T. and CIMMNIMV, N. A.
"Analytical Properties of the Fcyrrzn Graphs"
report presented at the Intl. Conference on High Energy Physicaj Geneva,
4-11 juiy11962
Joint Institute for Nuclear Penearch
Laboratory of Theoretical Physics, Dubna, 1962

1737P
S/056j62/042/005/023/050
it ri B102/BI04
Chernikov, 111. A.
AUTHORS; LOZunov, IL-
TITLE: Generalization of Symanzik's theorem on majorizatidn of
Feynman graphs
PERIODICAL: Zhurnal eksperimentallnoy i teoreticheskoy fiz--;ki, v. 42,
r10- 5, 1962, 1285-1293
TEX---,!: In an earlier paper (DAN SSSR 135, sol, 196o) the authors showed
m;thod
-6hat a maiorization
developed by them made it possible to reduce
Cae consideration of all strongly qonnected Feynman graphs of one process
to that o--" a iinite number of graphs. Such a graph may be considered to
be stron3ly connected, if, upon one of the internal lines being broken,
it does not beco=e dissociated, the square of the outer momenta. being
re,garded as independently variable. ~he set of classes R. of all diagrams
is souSht iq a maximuri enclosed Euclidean area of outer momenta wherein
the Feynman integral does not display any singularities. For NN
scaitering R = 7, -or -he meson-meson scattering Ro = 3, and for the meso.-I--
nucleon scattering Ro = 14. The method of determining class a 0 is discussed
Card 112F

S/056/62/042/005/023/0510
Generalization of Symanzik's ... B1012/B104 .
a~ len;:th. For the purpose of comparing the diagrams of class R. a
0
detailed examMation is made of the quadratic form of General Feynman
6raphs and an explicit expression for this form is arrived at terms of ;he
ident-i ma-ur` x. This matrix with nrows and 1 columns then forms the
chararteristic off any graph having n nodes and 1 internal lines. An
L (inverse) quadratic fo.-;-;i.
~n 4-:3 a' 3o derived for the conjugated
7urt'-er, ine minimum exDressions are obtained for the Feynman parameters
relatinc- to the coniugated ouadratic form and finally the results are
transferred to the Symanzik theorem of .-raph majorization, which is
thereby proved. The aeneralization of this theorem is discussed. The
results following from the particular and the generalized Symanzik theorem
are CLISCUssed for the special case of a NN scatterin.a. It can be shown
that the set R of the &raphs for the EN scattering are majorized by the
0 0
two former (I, I!, Fig. 1). All strongly connected graphs of the meson-
nucleon scattering can be majorized by the sum of the four graphs in Fig.2.
There are two- -figures.
ASSOCIATION: Ob"yedinennyy institut yadernykh issledovaniy (Joint Insti-
tute of Nuclear Research)
SUB!"'ITTED: December 9, 1961
Card 2/f __?

AUTHOR; Todorov I. T.
3 9 1) 0
S/058/6P-/000/004/016/160
A058/A-101
TITLE: Analytic properties of the amplitude of inelastic processes involving
strange particles
PERIODICAL: Referativnyy zhurnal, Fizika, no. 4, 1962, 39, abstract 4A306
("Godishnik Sofiysk. un-t. Fiz.-matem. fak.", 1959 - 1960 (1961),
V - 54, no. 2, 177 - 202)
TETI; On the basis of the postulates of covariance, causality and spec-
trality (the assumption of the existence of a complete system of physical states
with positive energies), the author examines the analytic properties of the
amplitudes of K + N --), J-1+ Y and f -I + N ->K + Y processes in which all four particles
have different masses. He finds the kinematic characteristics of these processes
in a reference system that is a natural generalization of Breitrs system.. He
derives dispersion relations for imaginary meson masses. He gives a generaliza-
tion of the theorem of V. S. Vladimirov and A. A. Logunov ("Izv. AN SSSR". Ser.
matem., 1959, v. 2-3, 661) on the analyticity region of the anti-Hermitian part
Card 1/2

Analytic properties of the...
S/058/62/000/0()4/016/160
A058/Alol,
of scattering amplitude for the case when all the particles participating in the i-
reaction have different masses; he shows that the resultant analyticity region 1;1.
contains not a single physical point.
(Abstracter's note; Complete translation]
Card 2/2

LOGLINOV$ A.A*)- TIO-DO-R-OV I.,T,,- GINIVIKOV, N.A.; SARANTSEVA, V.P.,
, ---- -----I
, rec
takhn 1,
[Surface of singular points of a Feynnan diagram] Poverkbnost'
osobykh tochek diagramny Feinmana. Dubna, Obnedinenriyi in-t
iadernyk.h issl. 1962. 29 p. (MIRA 15:3)
Nuantum electrodynamics)

LOGUEOV, A.A.; TAVKHELID21, A.H.;,TODDROV, I.T.; CIWUIIKOV, N.A.%
Majoration of Fainman's diagrams. Dokl. AN SSSR 135 ao.4:801-804
l6o. (MIRA 13:11)
1. Ob"yedinenrWy institut yadernvkh iseledovaniy. Predetavleno
akademikom H.K.Bogolyubovym.
(Mitbamatical physics)

ROGELOVA, S.-; KRASTEV, T.; VASSILENKO, S.;
Johievements in control of poliomyelitis in Bulgaria. Dokl. bolg.
akad. nauk 15 no.6:673-676 162. -
I
~L -. .-- 'I -,.
1. Note vresentee par 1. Emanuilov, iffembre de I'Academie.
(POLIOMLITIS)

BACALOVA, L.; TQOOROV J.~ DAWANOVA, M.
11--t- I
Stuejes of some serun enzyme activities in rachitic children.
Nauch. tr. Vissh med. in3t. Sofiis. 43 no.li25-28 164.
1. Chair of Pediatrics, (Director; Prof. L. Racev) and Chair of
Clinical Laboratory at the Postgraduate Medical Institute,
(Director.- Prof. J. Todorov).