Octet and decuplet baryons in a covariant and confining diquark-quark model

被引:119
作者
Oettel, M [1 ]
Hellstern, G [1 ]
Alkofer, R [1 ]
Reinhardt, H [1 ]
机构
[1] Univ Tubingen, Inst Theoret Phys, D-72076 Tubingen, Germany
来源
PHYSICAL REVIEW C | 1998年 / 58卷 / 04期
关键词
D O I
10.1103/PhysRevC.58.2459
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
The baryon octet and decuplet masses and Bethe-Salpeter vertex and wave functions are calculated in the ladder approximation to the quark exchange between a scalar or axialvector diquark and a constituent quark. These functions reflecting full Lorentz covariance are given in terms of an expansion in Gegenbauer polynomials. In the rest frame of the baryon, a complete partial wave decomposition of the Bethe-Salpeter wave function is performed. The confinement of quarks and diquarks is implemented via a parametrization of the corresponding propagators. We also discuss some aspects of the momentum routing in the ladder approximation to the Bethe-Salpeter equation. Numerical results for the octet and decuplet masses with broken flavor SU(3) in the conserved isospin limit are presented. [S0556-2813(98)00810-3].
引用
收藏
页码:2459 / 2477
页数:19
相关论文
共 40 条
[21]  
HESS M, HEPLAT9804023
[22]  
Itzykson C., 1985, QUANTUM FIELD THEORY
[23]   ON WAVE FUNCTIONS FOR 3-BODY SYSTEMS [J].
KARL, G ;
OBRYK, E .
NUCLEAR PHYSICS B, 1968, B 8 (03) :609-&
[24]   NUMERICAL SOLUTIONS OF BETHE-SALPETER EQUATION [J].
KAUFMANN, WB .
PHYSICAL REVIEW, 1969, 187 (05) :2051-&
[25]   Exclusive photoproduction of large momentum-transfer K and K* mesons [J].
Kroll, P ;
Schurmann, M ;
Passek, K ;
Schweiger, W .
PHYSICAL REVIEW D, 1997, 55 (07) :4315-4328
[26]   GROUND-STATE QQBAR MASS-SPECTRUM IN QUANTUM CHROMODYNAMICS [J].
MUNCZEK, HJ ;
NEMIROVSKY, AM .
PHYSICAL REVIEW D, 1983, 28 (01) :181-186
[27]  
NAKANISHI N, 1988, PROG THEOR PHYS SUPP, P1, DOI 10.1143/PTPS.95.1
[28]   DYNAMICAL MODEL OF ELEMENTARY PARTICLES BASED ON AN ANALOGY WITH SUPERCONDUCTIVITY .1. [J].
NAMBU, Y ;
JONALASINIO, G .
PHYSICAL REVIEW, 1961, 122 (01) :345-358
[29]  
NAMBU Y, 1961, PHYS REV, V124, P246, DOI 10.1103/PhysRev.124.246
[30]  
OETTEL M, 1997, THESIS TUBINGEN U