On relativization of the Sommerfeld-Gamow-Sakharov factor

被引:35
作者
Arbuzov, Andrej B. [1 ,2 ]
Kopylova, Tatiana V. [2 ]
机构
[1] Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Joliot Curie Str 6, Dubna 141980, Russia
[2] Univ Dubna, Dept Higher Math, Dubna 141980, Russia
关键词
Electromagnetic Processes and Properties; Standard Model; THRESHOLD; E(+)E(-); PAIR; ANNIHILATION; QUARKS;
D O I
10.1007/JHEP04(2012)009
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
The Sommerfeld-Gamow-Sakharov factor is considered for the general case of arbitrary masses and energies. It is shown that the scalar triangular one-loop diagram gives the Coulomb singularity in radiative corrections at the threshold. The singular part of the correction is factorized at the complete Born cross section regardless of its partial wave decomposition. Different approaches to generalize the factor are discussed.
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页数:11
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共 33 条
[1]   Quest for precision in hadronic cross sections at low energy: Monte Carlo tools vs. experimental data [J].
Actis, S. ;
Arbuzov, A. ;
Balossini, G. ;
Beltrame, P. ;
Bignamini, C. ;
Bonciani, R. ;
Calame, C. M. Carloni ;
Cherepanov, V. ;
Czakon, M. ;
Czyz, H. ;
Denig, A. ;
Eidelman, S. ;
Fedotovich, G. V. ;
Ferroglia, A. ;
Gluza, J. ;
Grzelinska, A. ;
Gunia, M. ;
Hafner, A. ;
Ignatov, F. ;
Jadach, S. ;
Jegerlehner, F. ;
Kalinowski, A. ;
Kluge, W. ;
Korchin, A. ;
Kuehn, J. H. ;
Kuraev, E. A. ;
Lukin, P. ;
Mastrolia, P. ;
Montagna, G. ;
Mueller, S. E. ;
Nguyen, F. ;
Nicrosini, O. ;
Nomura, D. ;
Pakhlova, G. ;
Pancheri, G. ;
Passera, M. ;
Penin, A. ;
Piccinini, F. ;
Placzek, W. ;
Przedzinski, T. ;
Remiddi, E. ;
Riemann, T. ;
Rodrigo, G. ;
Roig, P. ;
Shekhovtsova, O. ;
Shen, C. P. ;
Sibidanov, A. L. ;
Teubner, T. ;
Trentadue, L. ;
Venanzoni, G. .
EUROPEAN PHYSICAL JOURNAL C, 2010, 66 (3-4) :585-686
[2]   2-PION CORRELATION BEHAVIOR IN A SMALL RELATIVE MOMENTUM-REGION [J].
ANCHISHKIN, D ;
ZINOVJEV, G .
PHYSICAL REVIEW C, 1995, 51 (05) :R2306-R2309
[3]   Monte-Carlo generator for e+e- annihilation into lepton and hadron pairs with precise radiative corrections [J].
Arbuzov, A. B. ;
Fedotovich, G. V. ;
Ignatov, F. V. ;
Kuraev, E. A. ;
Sibidanov, A. L. .
EUROPEAN PHYSICAL JOURNAL C, 2006, 46 (03) :689-703
[4]   ANALYTIC FINAL-STATE CORRECTIONS WITH CUT FOR E+E--]MASSIVE FERMIONS [J].
ARBUZOV, AB ;
BARDIN, DY ;
LEIKE, A .
MODERN PHYSICS LETTERS A, 1992, 7 (22) :2029-2038
[5]   ANALYTIC FINAL-STATE CORRECTIONS WITH CUT FOR E+E- -] MASSIVE FERMIONS (VOL 7, PG 2029, 1992) [J].
ARBUZOV, AB ;
BARDIN, DY ;
LEIKE, A .
MODERN PHYSICS LETTERS A, 1994, 9 (16) :1515-1516
[6]   ON A NOVEL RELATIVISTIC QUASI-POTENTIAL EQUATION FOR 2 SCALAR PARTICLES [J].
ARBUZOV, AB .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1994, 107 (08) :1263-1273
[7]  
Aubuzov A. B., 1997, JHEP-Journal of High Energy Physics
[8]  
Baier V.N., 1969, SOV JETP, V57, P225
[9]   Unexpected features of e+e- → p(p)over-bar and e+e- → Λ(Λ)over-bar cross-sections near threshold [J].
Baldini, R. ;
Pacetti, S. ;
Zallo, A. ;
Zichichi, A. .
EUROPEAN PHYSICAL JOURNAL A, 2009, 39 (03) :315-321
[10]  
BALDINI RB, ARXIV08123283, P21801