Geodesic
Asymptotic behavior of form factors and invariant description of the spatial structure of particles
Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 3, pp. 313-326 
N. B. Skachkov. Asymptotic behavior of form factors and invariant description of the spatial structure of particles. Teoretičeskaâ i matematičeskaâ fizika, Tome 25 (1975) no. 3, pp. 313-326. http://geodesic.mathdoc.fr/item/TMF_1975_25_3_a2/
@article{TMF_1975_25_3_a2,
     author = {N. B. Skachkov},
     title = {Asymptotic behavior of form factors and invariant description of the spatial structure of particles},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {313--326},
     year = {1975},
     volume = {25},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1975_25_3_a2/}
}
TY  - JOUR
AU  - N. B. Skachkov
TI  - Asymptotic behavior of form factors and invariant description of the spatial structure of particles
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1975
SP  - 313
EP  - 326
VL  - 25
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1975_25_3_a2/
LA  - ru
ID  - TMF_1975_25_3_a2
ER  - 
%0 Journal Article
%A N. B. Skachkov
%T Asymptotic behavior of form factors and invariant description of the spatial structure of particles
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1975
%P 313-326
%V 25
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1975_25_3_a2/
%G ru
%F TMF_1975_25_3_a2

Voir la notice de l'article provenant de la source Math-Net.Ru

Invariant description of the particle spatial distribution is introduced on the basis of relativistic configurational representation obtained with the aid of expansions over unitary representations of the Lorentz group. A formula which gives the correct “almost dipole” asymptotical behaviour of the proton form-factor $\displaystyle{F_P(t)\to\frac{\ln |t|/M^2}{t^2}}$ at large $-t$ is obtained.

[1] V. G. Kadyshevsky, R. M. Mir-Kasimov, N. B. Skachkov, Nuovo Cim., 55A (1968), 233 ; ЭЧАЯ, 2, No 3, Атомиздат, 1972, 635 | DOI

[2] V. G. Kadyshevskii, R. M. Mir-Kasimov, N. B. Skachkov, YaF, 9 (1969), 219 | MR

[3] M. I. Pavkovich, Phys. Rev., 4D (1971), 1724

[4] N. B. Skachkov, Soobschenie OIYaI E2-7890, Dubna, 1974

[5] Yu. M. Shirokov, ZhETF, 21 (1951), 748; 33 (1957), 861 | Zbl

[6] A. A. Cheshkov, Yu. M. Shirokov, ZhETF, 44 (1963), 1982 | MR

[7] V. P. Kozhevnikov, V. E. Troitskii, S. V. Trubnikov, Yu. M. Shirokov, TMF, 10 (1972), 47

[8] N. B. Skachkov, Soobschenie OIYaI E2-7333, Dubna, 1974; ТМФ, 22 (1975), 213

[9] N. N. Bogolyubov, D. V. Shirkov, Vvedenie v teoriyu kvantovannykh polei, «Nauka», 1973 | MR | Zbl

[10] D. I. Blokhintsev, Prostranstvo i vremya v mikromire, «Nauka», 1970 | Zbl

[11] I. M. Gelfand, M. A. Naimark, Izv. AN SSSR, ser. mat., 11 (1947), 411 | MR | Zbl

[12] M. A. Naimark, Lineinye predstavleniya gruppy Lorentsa, Fizmatgiz, 1958 | MR

[13] I. S. Shapiro, DAN SSSR, 106 (1956), 647 ; ЖЭТФ, 43 (1962), 1727; Phys. Lett., 1 (1962), 253 ; А. З. Долгинов, ЖЭТФ, 30 (1956), 746 ; А. З. Долгинов, Н. Н. Топтыгин, ЖЭТФ, 37 (1959), 1441 ; Н. Я. Виленкин, Я. А. Смородинский, ЖЭТФ, 46 (1964), 1793 | Zbl | DOI | MR | Zbl | MR | Zbl | MR | Zbl | MR

[14] T. D. Newton, E. P. Wigner, Rev. Mod. Phys., 21 (1949), 400 | DOI | Zbl

[15] I. M. Gelfand, M. I. Graev, N. Ya. Vilenkin, Obobschennye funktsii, t. 5, Fizmatgiz, 1962 | MR

[16] N. B. Skachkov, TMF, 5 (1970), 57

[17] A. V. Efremov, ZhETF, 53 (1967), 732

[18] W. Ruhl, Nuovo. Cim., 68A (1970), 213 | DOI | MR

[19] N. Zovko, Acta. Phys. Austr., 36 (1972), 354; S. Blatnik, N. Zovko, Acta. Phys. Austr., 39 (1974), 62

[20] T. Massam, A. Zichichi, Nuovo Cim., 43A (1966), 1137 | DOI

[21] S. B. Gerasimov, Preprint OIYaI R-2439, Dubna, 1965; Препринт ОИЯИ Р-2619, Дубна, 1966 | Zbl

[22] A. L. Light, A. Pagnamenta, Phys. Rev., D2 (1970), 1150