Investigating <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi mathvariant="normal">Ω</mml:mi><mml:mo>(</mml:mo><mml:mn>2012</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math> as a molecular state
Xuejie Liu, Hongxia Huang, Jialun Ping, Dian-Yong Chen
Abstract
We conduct a dynamical calculation of pentaquark systems with quark contents $sssu\overline{u}$ in the framework of two quark models: the chiral quark model (ChQM) and quark delocalization color screening model (QDCSM). The effective potentials between baryon and meson clusters are given, and the possible bound states are also investigated. Also, the study of the scattering process of the open channels is performed to look for any resonance state. The results show that the $\mathrm{\ensuremath{\Omega}}(2012)$ is not suitable for the interpretation as a ${\mathrm{\ensuremath{\Xi}}}^{*}\overline{K}$ molecular state in present quark models. Two resonance states: the ${\mathrm{\ensuremath{\Xi}}}^{*}{\overline{K}}^{*}$ with $I{J}^{P}=0{\frac{3}{2}}^{\ensuremath{-}}$ ($M=2328$--$2374\phantom{\rule{0.16em}{0ex}}\mathrm{MeV}, \mathrm{\ensuremath{\Gamma}}=57$--$65.5\phantom{\rule{0.16em}{0ex}}\mathrm{MeV}$) and $I{J}^{P}=1{\frac{3}{2}}^{\ensuremath{-}}$ ($M=2341$--$2386\phantom{\rule{0.16em}{0ex}}\mathrm{MeV}, \mathrm{\ensuremath{\Gamma}}=31.5$--$100\phantom{\rule{0.16em}{0ex}}\mathrm{MeV}$) are obtained in both QDCSM and ChQM, which indicates that these two states are more likely to exist and worthy of being sought by future experiments.