Chiral SU(3) Quark Model Study of Tetraquark States: $cn\bar{n}\bar{s}/cs\bar{s}\bar{s}$

Abstract

The new members of the charm-strange family $D_{sJ}^{\ast }(2317)$, $D_{sJ}(2460)$ and $D_s(2632)$, which have the surprising properties, are challenging the present models. Many theoretical interpretations have been devoted to this issue. Most of authors suggest that they are not the conventional $c\bar{s}$ quark model states, but possibly are four-quark states, molecule states or mixtures of a P-wave $c\bar{s}$ and a four-quark state. In this work, we follow the four-quark-state picture, and study the masses of $cn\bar{n}\bar{s}/cs\bar{s}\bar{s}$ states ($n$ is $u$ or $d$ quark) in the chiral SU(3) quark model. The numerical results show that the mass of the mixed four-quark state ($cn\bar{n}\bar{s}/cs\bar{s}\bar{s}$) with spin parity $J^P=0^{+}$ might not be $D_s(2632)$. At the same time, we also conclude that $D_{sJ}^{\ast }(2317)$ and $D_{sJ}(2460)$ cannot be explained as the pure four-quark state.

20 pages

Cited by in corpus (4)

• Light Pseudoscalar Meson and Heavy Meson Scattering Lengths
• Four-quark Bound States in Chiral SU(3) Quark Model
• The bound state problem of S-wave heavy quark meson-aitimeson systems
• X(3872) and the bound state problem of $D^0{\bar{D}}^{\ast 0}$ (${\bar{D}}^0{D}^{\ast 0}$) in a chiral quark model