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Masses of tetraquark candidates D s + (2317) and D s + (2632) using Glozman‐Riska hyperfine interaction
Author(s) -
Borka Jovanović V.
Publication year - 2008
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200710520
Subject(s) - tetraquark , physics , particle physics , quark , scalar (mathematics) , bar (unit) , mathematics , meteorology , geometry
Using the Glozman‐Riska (flavor‐spin) interaction Hamiltonian and the SU(3) flavor symmetry breaking, we perform a schematic study of the masses of the scalar charmed tetraquarks in the following representations: $\overline{15}_\mathrm{S}$, $\bar{3}_\mathrm{S}$, $6_\mathrm{A}$ and $\bar{3}_\mathrm{A}$ . Obtained pattern indicates that D s + (2317) is a four‐quark state in the SU(3) F $\bar{3}_\mathrm{A}$ representation. D s + (2632) is identified with a state from mixing of the $\overline{15}_\mathrm{S}$ and $\bar{3}_\mathrm{S}$ representations. There are 27 different tetraquarks composed of a charm quark c and of the three light flavors u , d , s : 11 cryptoexotic (3 D s + , 4 D + , 4 D 0 ) and 16 explicit exotic states. The identification of D s + (2317) and D s + (2632) with two cryptoexotic states in tetraquark spectrum is possible when including Glozman‐Riska hyperfine interaction. We also compare Glozman‐Riska and Fermi‐Breit contributions to the tetraquark masses and analyze the corresponding tetaraquark mass spectra.