Geodesic
The resummation $L$-factor in the relativistic quasipotential approach
Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 2, pp. 225-244 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We obtain a new relativistic Coulomb-like resummation factor ($L$-factor) for an arbitrary orbital moment $\ell\ge0$. We work within the fully covariant quasipotential approach in quantum field theory formulated in the relativistic configuration representation in the case of two interacting relativistic particles with arbitrary masses.
Keywords: quantum field theory, relativistic configuration representation, Coulomb-like quasipotential. 
@article{TMF_2011_166_2_a2,
     author = {O. P. Solovtsova and Yu. D. Chernichenko},
     title = {The~resummation $L$-factor in the~relativistic quasipotential approach},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {225--244},
     year = {2011},
     volume = {166},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2011_166_2_a2/}
}
TY  - JOUR
AU  - O. P. Solovtsova
AU  - Yu. D. Chernichenko
TI  - The resummation $L$-factor in the relativistic quasipotential approach
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2011
SP  - 225
EP  - 244
VL  - 166
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_2011_166_2_a2/
LA  - ru
ID  - TMF_2011_166_2_a2
ER  - 
%0 Journal Article
%A O. P. Solovtsova
%A Yu. D. Chernichenko
%T The resummation $L$-factor in the relativistic quasipotential approach
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2011
%P 225-244
%V 166
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_2011_166_2_a2/
%G ru
%F TMF_2011_166_2_a2
O. P. Solovtsova; Yu. D. Chernichenko. The resummation $L$-factor in the relativistic quasipotential approach. Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 2, pp. 225-244. http://geodesic.mathdoc.fr/item/TMF_2011_166_2_a2/

[1] A. A. Logunov, A. N. Tavkhelidze, Nuovo Cimento, 29:2 (1963), 380–399 | DOI | MR

[2] A. A. Logunov, A. N. Tavkhelidze, I. T. Todorov, O. A. Khrustalev, Nuovo Cimento, 30:1 (1963), 134–142 | DOI | MR

[3] A. A. Logunov, A. N. Tavkhelidze, O. A. Khrustalev, Phys. Lett., 4:6 (1963), 325–326 | DOI | MR | Zbl

[4] B. A. Arbuzov, A. A. Logunov, A. N. Tavkhelidze, R. N. Faustov, A. T. Filippov, ZhETF, 44 (1963), 1409

[5] V. G. Kadyshevskii, A. N. Tavkhelidze, “Kvazipotentsialnyi metod v relyativistskoi zadache dvukh tel”, Problemy teoreticheskoi fiziki, Sbornik, posvyaschennyi 60-letiyu N. N. Bogolyubova, Nauka, M., 1969 | MR

[6] R. N. Faustov, TMF, 3:2 (1970), 240–254 ; ЭЧАЯ, 3:1 (1972), 238–268; Ann. Phys., 78:1 (1973), 176–189 | DOI | DOI

[7] P. N. Bogolyubov, TMF, 5:2 (1970), 244–252 | DOI

[8] A. A. Logunov, V. I. Savrin, N. E. Tyurin, O. A. Khrustalev, TMF, 6:2 (1971), 157–165 | DOI

[9] V. R. Garsevanishvili, A. N. Kvinikhidze, V. A. Matveev, A. N. Tavkhelidze, R. N. Faustov, TMF, 23:3, 310–321 | DOI | MR

[10] V. G. Kadyshevsky, Nucl. Phys. B, 6:2 (1968), 125–148 | DOI

[11] V. G. Kadyshevsky, M. D. Mateev, Nuovo Cimento A, 55:2 (1968), 275–300 | DOI

[12] V. G. Kadyshevskii, ZhETF, 46:2 (1964), 654–662 ; 46:3 (1964), 872–883 ; ДАН СССР, 160:3 (1965), 573–574 | MR | MR | MR

[13] N. B. Skachkov, I. L. Solovtsov, YaF, 30:4 (1979), 1079–1088; 31:5 (1980), 1332–1340; ТМФ, 43:3 (1980), 330–342 ; 54:2 (1983), 183–192 | DOI | MR | DOI | MR

[14] V. N. Kapshay, A. D. Linkevich, N. B. Skachkov, V. I. Savrin, Nuovo Cimento A, 66:1 (1981), 45–62 ; А. Д. Линкевич, В. И. Саврин, Н. Б. Скачков, ТМФ, 53:1 (1982), 20–31 ; ЯФ, 37 (1983), 391–399; А. Д. Линкевич, В. И. Саврин, В. В. Санадзе, Н. Б. Скачков, ЯФ, 37 (1983), 959–965 | DOI | DOI | MR

[15] A. P. Martynenko, R. N. Faustov, TMF, 64:2 (1985), 179–185 | DOI

[16] B. A. Arbuzov, E. E. Boos, V. I. Savrin, S. A. Shichanin, TMF, 83:2 (1990), 175–185 | DOI

[17] V. A. Matveev, V. I. Savrin, A. N. Sisakyan, A. N. Tavkhelidze, TMF, 132:2 (2002), 267–287 | DOI | MR | Zbl

[18] A. P. Martynenko, R. N. Faustov, YaF, 61:3 (1998), 534–539; 63:5 (2000), 915–919 ; 64:7 (2001), 1358–1363 | DOI | MR | DOI

[19] D. Ebert, R. N. Faustov, V. O. Galkin, Phys. Rev. D, 62:3 (2000), 034014, 11 pp., arXiv: ; 67:1 (2003), 014027, 19 pp., arXiv: ; 72:3 (2005), 034026, 7 pp., arXiv: ; 75:7 (2007), 074008, 15 pp., arXiv: ; Modern Phys. Lett. A, 20:25 (2005), 1887–1893, arXiv: ; Phys. Lett. B, 634:2–3 (2006), 214–219, arXiv: ; 659:3 (2008), 612–620, arXiv: hep-ph/9911283hep-ph/0210381hep-ph/0504112hep-ph/0611307hep-ph/0503238hep-ph/05122300705.2957 | DOI | DOI | DOI | DOI | DOI | DOI | DOI

[20] N. M. Atakishiev, R. M. Mir-Kasimov, Sh. M. Nagiev, TMF, 44:1, 47–62 | DOI | MR

[21] E. A. Dei, V. N. Kapshai, N. B. Skachkov, TMF, 69:1 (1986), 55–68 ; 82:2 (1990), 188–198 | DOI | MR | DOI | MR

[22] L. D. Blokhintsev, A. M. Mukhamedzhanov, A. N. Safronov, EChAYa, 15:6 (1984), 1296–1337

[23] M. Abramovits, I. Stigan (red.), Spravochnik po spetsialnym funktsiyam s formulami, grafikami i matematicheskimi tablitsami, Nauka, M., 1979 | MR | MR | Zbl

[24] G. Gamov, Z. Phys., 51:3–4 (1928), 204–212 | DOI

[25] A. Zommerfeld, Stroenie atoma i spektry, t. 2, Gostekhizdat, M., 1956 | Zbl

[26] A. D. Sakharov, ZhETF, 18:7 (1948), 631–635

[27] L. D. Landau, E. M. Lifshits, Teoreticheskaya fizika, v. III, Kvantovaya mekhanika. Nerelyativistskaya teoriya, 2-e izd., Fizmatlit, M., 1963 | MR | MR | Zbl

[28] R. Nyuton, Teoriya rasseyaniya voln i chastits, Mir, M., 1969 | MR | Zbl

[29] T. Appelquist, H. D. Politzer, Phys. Rev. Lett., 34:1 (1975), 43–45 | DOI

[30] E. C. Poggio, H. R. Quinn, S. Weinberg, Phys. Rev. D, 13:7 (1976), 1958–1968 | DOI

[31] V. N. Baier, V. S. Fadin, ZhETF, 57:1(7) (1969), 225–231

[32] V. S. Fadin, V. A. Khoze, YaF, 48 (1988), 487–493; V. S. Fadin, V. A. Khoze, T. Sjöstrand, Z. Phys. C, 48:4 (1990), 613–621 | DOI

[33] V. S. Fadin, V. A. Khoze, A. D. Martin, A. Chapovsky, Phys. Rev. D, 52:3 (1995), 1377–1385, arXiv: hep-ph/9501214 | DOI

[34] A. H. Hoang, Phys. Rev. D, 56:11 (1997), 7276–7283, arXiv: hep-ph/9703404 | DOI

[35] J.-H. Yoon, C.-Y. Wong, Phys. Rev. C, 61:4 (2000), 044905, 10 pp., arXiv: ; J. Phys. G, 31:2 (2005), 149–160, arXiv: nucl-th/9908079nucl-th/0412019 | DOI | DOI

[36] K. A. Milton, I. L. Solovtsov, Modern Phys. Lett. A, 16:34 (2001), 2213–2219, arXiv: hep-ph/0005175 | DOI | Zbl

[37] V. G. Kadyshevsky, R. M. Mir-Kasimov, N. B. Skachkov, Nuovo Cimento A, 55:2 (1968), 233–257 | DOI

[38] V. I. Savrin, N. B. Skachkov, Nuovo Cimento Lett., 29:11 (1980), 363–369 | DOI

[39] B. Durand, L. Durand, Phys. Rev. D, 28:2 (1983), 396–406 | DOI | MR

[40] M. Freeman, M. D. Mateev, R. M. Mir-Kasimov, Nucl. Phys. B, 12:1 (1969), 197–215 | DOI

[41] V. N. Kapshai, N. B. Skachkov, TMF, 55:2 (1983), 236–245 | DOI | MR

[42] K. A. Milton, I. L. Solovtsov, O. P. Solovtsova, Phys. Rev. D, 64:1 (2001), 016005, 6 pp., arXiv: hep-ph/0102254 | DOI

[43] I. L. Solovtsov, O. P. Solovtsova, Nonlin. Phenom. Complex Syst., 5 (2002), 51–58

[44] K. A. Milton, I. L. Solovtsov, O. P. Solovtsova, Modern Phys. Lett. A, 21:17 (2006), 1355–1368, arXiv: hep-ph/0512209 | DOI | Zbl

[45] I. L. Solovtsov, Yu. D. Chernichenko, Vestsi Nats. Akad. Navuk Belarusi. Ser. fiz.-mat. navuk, 2 (2007), 103

[46] I. L. Solovtsov, Yu. D. Chernichenko, Aktualnye problemy fiziki mikromira, Trudy Mezhdunarodnoi shkoly-seminara (28 iyulya–8 avgusta 2007 g., Gomel, Belorussiya), v. 2, OIYaI, Dubna, 2008, 33, E2-2008-64

[47] O. P. Solovtsova, Yu. D. Chernichenko, YaF, 73 (2010), 1–16, arXiv: 0904.0754 | DOI

[48] V. G. Kadyshevskii, M. D. Mateev, R. M. Mir-Kasimov, YaF, 11:3 (1970), 692–700

[49] A. B. Arbuzov, Nuovo Cimento A, 107:8 (1994), 1263–1273 | DOI

[50] R. Barbieri, P. Christillin, E. Remiddi, Phys. Rev. A, 8:5 (1973), 2266–2271 | DOI

[51] V. G. Kadyshevskii, R. M. Mir-Kasimov, N. B. Skachkov, EChAYa, 2:3 (1972), 635–690

[52] V. N. Kapshai, V. I. Savrin, N. B. Skachkov, TMF, 69:3 (1986), 400–410 | DOI

[53] I. L. Solovtsov, Yu. D. Chernichenko, Mezhdunarodnyi seminar po sovremennym voprosam fiziki elementarnykh chastits, posvyaschennyi pamyati I. L. Solovtsova. Trudy seminara (Dubna, 17–18 yanv. 2008), OIYaI, Dubna, 2008, 73, D4-2008-65

[54] N. B. Skachkov, I. L. Solovtsov, TMF, 54:2 (1983), 183–192 | DOI

[55] I. L. Solovtsov, O. P. Solovtsova, Yu. D. Chernichenko, Pisma v EChAYa, 2:4(127) (2005), 17–23

[56] W. Lucha, F. F. Schöberl, Phys. Rev. Lett., 64:23 (1990), 2733–2735 ; Phys. Lett. B, 387:3 (1996), 573–576, arXiv: hep-ph/9607249 | DOI | MR | Zbl | DOI