Four-quark spectroscopy within the hyperspherical formalism

被引:132
作者
Barnea, N [1 ]
Vijande, J
Valcarce, A
机构
[1] Hebrew Univ Jerusalem, Racah Inst Phys, IL-91904 Jerusalem, Israel
[2] Univ Salamanca, Grp Fis Nucl, E-37008 Salamanca, Spain
[3] Univ Salamanca, IUFFyM, E-37008 Salamanca, Spain
来源
PHYSICAL REVIEW D | 2006年 / 73卷 / 05期
关键词
D O I
10.1103/PhysRevD.73.054004
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We present a generalization of the hyperspherical harmonic formalism to study systems made of quarks and antiquarks of the same flavor. This generalization is based on the symmetrization of the N-body wave function with respect to the symmetric group using the Barnea and Novoselsky algorithm. The formalism is applied to study four-quark systems by means of a constituent quark model successful in the description of the two- and three-quark systems. The results are compared to those obtained by means of variational approaches. Our analysis shows that four-quark systems with exotic 0(+-) and nonexotic 2(++) quantum numbers may be bound independently of the mass of the quark. 2(+-) and 1(+-) states become attractive only for larger mass of the quarks.
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页数:11
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