On the three-dimensional reductions of the Bethe-Salpeter equation and their one-body limits (two-boson and boson-fermion cases)

被引：6

作者：

Bijtebier, J ^{[1
]}

Broekaert, J ^{[1
]}

机构：

[1] FREE UNIV BRUSSELS, B-1050 BRUSSELS, BELGIUM

来源：

JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS | 1996年 / 22卷 / 12期

关键词：

D O I：

10.1088/0954-3899/22/12/003

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

We transform the BetheSalpeter equation for the two-boson and for the boson-fermion systems into equivalent Salpeter or Sazdjian equations, with a three-dimensional (3D) potential-directly computable from a series of reducible and irreducible Feynman graphs. We compute the Various one-body limits (in the boson-fermion case we compute the heavy boson and the heavy fermion limits). To be definite, we work in the QED framework, but we also consider the scalar bosons exchanges in the two-boson case.

引用

页码：1727 / 1740

页数：14

共 12 条

[1] On the three-dimensional reductions of the Bethe-Salpeter equation and their one-body limits (two-fermion case).
Bijtebier, J
Broekaert, J
[J]. JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS, 1996, 22 (05) : 559 - 578
[2] On the three-dimensional reductions of the Bethe-Salpeter equation and their one-body limits (two-fermion case) (vol 22, pg 559, 1996)
Bijtebier, J
Broekaert, J
[J]. JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS, 1996, 22 (08) : 1237 - 1237
[3] DERIVATION OF AN EFFECTIVE ONE-BODY DIRAC-EQUATION FROM BETHE-SALPETER EQUATION
GORELICK, JL
GROTCH, H
[J]. JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS, 1977, 3 (06) : 751 - 759
[4] Relationship between the separable and one-boson-exchange potential for the covariant Bethe-Salpeter equation
Manabe, Y
Hosaka, A
Toki, H
[J]. JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS, 2005, 31 (11) : 1183 - 1190
[5] A cluster-separable Born approximation for the three-dimensional reduction of the three-fermion Bethe-Salpeter equation
Bijtebier, J
[J]. JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS, 2000, 26 (06) : 871 - 886
[6] BETHE-SALPETER EQUATION FOR J=0 NUCLEON-NUCLEON-SCATTERING WITH ONE-BOSON EXCHANGE
FLEISCHER, J
TJON, JA
[J]. NUCLEAR PHYSICS B, 1975, B 84 (02) : 375 - 396
[7] BETHE-SALPETER EQUATION FOR I = 1 NUCLEON-NUCLEON-SCATTERING WITH ONE-BOSON EXCHANGE
FLEISCHER, J
TJON, JA
[J]. PHYSICAL REVIEW D, 1977, 15 (09): : 2537 - 2546
[8] Bound q(q)over-bar systems in the framework of the different versions of the three-dimensional reductions of the Bethe-Salpeter equation
Babutsidze, T
Kopaleishvili, T
Rusetsky, A
[J]. PHYSICAL REVIEW C, 1999, 59 (02): : 976 - 985
[9] Atomic boson-fermion mixtures in one-dimensional box potentials: Few-body and mean-field many-body analyses
Parajuli, Bishal
Pecak, Daniel
Chien, Chih-Chun
[J]. PHYSICAL REVIEW A, 2023, 107 (02)
[10] One-dimensional three-boson problem with two- and three-body interactions
Guijarro, G.
Pricoupenko, A.
Astrakharchik, G. E.
Boronat, J.
Petrov, D. S.
[J]. PHYSICAL REVIEW A, 2018, 97 (06)

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