$Y(4626)$ in a chiral constituent quark model

Abstract

Recently, Belle Collaboration reported a new exotic state $Y(4620)$ with mass at 4625.9 MeV in the positronium annihilation process. Inspired by experiment, we study the tetraquark system $c\bar{s}s\bar{c}$ with quantum numbers $J^P=1^{-}$ in the framework of chiral constituent quark model with the help of Gaussian expansion method. Two structures, diquark-antidiquark and meson-meson, with all possible color and spin configurations are considered. The result shows that no bound state can be formed. To investigate the possible resonance states, the real scaling method is employed. Several resonance states with energies 4354, 4408, 4469, 4497 and 4531 MeV, are proposed. Taking into account the errors in calculating the $q\bar{q}$ mesons, the system errors in the calculation of four-quark system are around 60$\sim 100$ MeV. The resonance with energy 4531 MeV is possible the candidate of the newly found state $Y(4620)$.

arXiv comment6 pages, 3 figures

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Cited by in corpus (9)

• Y(4626) as a molecular state from interaction $D_s^{\ast }{\bar{D}}_{s1}(2536)-D_s{\bar{D}}_{s1}(2536)$
• Evidence for a vector charmonium-like state in $e^{+}{e}^{-}\to D_s^{+}{D}_{s2}^{\ast }(2573{)}^{-}+c.c.$
• Electromagnetic properties of the $T_{cc}^{+}$ molecular states
• Investigation of ${\Xi }_c^0$ in a chiral quark model
• Study of $qqq\bar{q}Q$ pentaquark system in the Chiral Quark Model
• Investigation of $qqqs\bar{q}$ pentaquarks in a chiral quark model
• $Y(4626)$ as a $P$-wave $[cs][\bar{c}\bar{s}]$ tetraquark state
• Looking for a vector charmonium-like state $Y$ in $e^{+}{e}^{-}\to \bar{D}{D}_1(2420)+c.c.$
• Search for $e^{+}{e}^{-}\to \varphi {\chi }_{c0}$ and $\varphi {\eta }_{c2}(1D)$ at center-of-mass energies from 4.47 to 4.95 GeV