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Four-quark spectroscopy within the hyperspherical formalism
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abstract
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 non-exotic $2^{++}$ 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.
Forward citations
Cited by 3 Pith papers
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A novel configuration of gluonic tetraquark state
The predicted masses of the octet-octet-octet tetracharm hybrid states, 6.98 GeV (0++) and 7.26 GeV (0-+), overlap the observed X(6900) and X(7200).
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Wigner Phase-Space Densities of Nuclear Clusters and Hypernuclei
The authors calculate Wigner phase-space densities for clusters from deuteron to double-Lambda hyperhelium using hyperspherical-harmonic solutions of the Schrödinger equation.
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