TY - JOUR
T1 - Four-quark spectroscopy within the hyperspherical formalism
AU - Barnea, N.
AU - Vijande, J.
AU - Valcarce, A.
PY - 2006
Y1 - 2006
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=33644887987&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.73.054004
DO - 10.1103/PhysRevD.73.054004
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AN - SCOPUS:33644887987
SN - 1550-7998
VL - 73
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 5
M1 - 054004
ER -