REDUCTION OF THE INSTANTANEOUS BETHE-SALPETER-EQUATION FOR Q-QBAR BOUND-STATES

被引:53
作者
LAGAE, JF [1 ]
机构
[1] UNIV LIBRE BRUXELLES,SERV PHYS THEOR,B-1050 BRUSSELS,BELGIUM
来源
PHYSICAL REVIEW D | 1992年 / 45卷 / 01期
关键词
D O I
10.1103/PhysRevD.45.305
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We present a straightforward method to reduce the instantaneous Bethe-Salpeter equation to a set of coupled equations for radial wave functions. In the case of positronium, in particular, the results obtained by Cung et al. follow immediately; our procedure is, however, much more general and is intended to be applied to mesonic bound states where competing models need to be tested. We also briefly comment on the numerical solution of the ensuing equations.
引用
收藏
页码:305 / 316
页数:12
相关论文
共 26 条
[1]  
BERESTETSKI V, 1972, THEORIE QUANTIQUE RE
[2]  
BERESTETSKII VB, 1971, RELATIVISTIC QUANT 1, P280
[3]  
BETHE HA, 1951, PHYS REV, V84, P1232
[4]   COMPLETE REDUCTION OF FERMION-ANTIFERMION BETHE-SALPETER EQUATION WITH STATIC KERNEL .2. [J].
CUNG, VK ;
FULTON, T ;
REPKO, WW ;
SCHAUM, A ;
DEVOTO, A .
ANNALS OF PHYSICS, 1976, 98 (02) :516-552
[5]   COMPLETE REDUCTION OF FERMION-ANTIFERMION BETHE-SALPETER EQUATION WITH STATIC KERNEL [J].
CUNG, VK ;
FULTON, T ;
REPKO, WW ;
SCHNITZLER, D .
ANNALS OF PHYSICS, 1976, 96 (02) :261-285
[6]   MATRIX-METHODS FOR THE NUMERICAL-SOLUTION OF RELATIVISTIC WAVE-EQUATIONS [J].
DURAND, L ;
GARA, A .
JOURNAL OF MATHEMATICAL PHYSICS, 1990, 31 (09) :2237-2243
[7]   SIMPLIFIED BETHE-SALPETER EQUATION FOR POSITRONIUM [J].
FELDMAN, G ;
FULTON, T ;
TOWNSEND, J .
ANNALS OF PHYSICS, 1974, 82 (02) :501-534
[8]   RELATIVISTIC DESCRIPTION OF QUARK-ANTIQUARK BOUND-STATES .2. SPIN-DEPENDENT TREATMENT [J].
GARA, A ;
DURAND, B ;
DURAND, L .
PHYSICAL REVIEW D, 1990, 42 (05) :1651-1660
[9]   RELATIVISTIC DESCRIPTION OF QUARK-ANTIQUARK BOUND-STATES - SPIN-INDEPENDENT TREATMENT [J].
GARA, A ;
DURAND, B ;
DURAND, L ;
NICKISCH, LJ .
PHYSICAL REVIEW D, 1989, 40 (03) :843-854
[10]   EFFECTIVE HAMILTONIAN FOR CHARMONIUM AND SIMILAR 2-FERMION SYSTEMS [J].
GROMES, D .
NUCLEAR PHYSICS B, 1977, 131 (01) :80-92