Abstract
A dynamical calculation of pentaquark systems with quark contents $uudd\bar{s}$ is performed in the framework of quark delocalization color screening model with the help of resonating group method. The effective potentials between baryon and meson clusters are given, and the possible bound states or resonances are investigated. The single calculations show that the $NK^{*}$ with $I=0, J^{P}=\frac{1}{2}^{-}$, $\Delta K^{*}$ with $I=1, J^{P}=\frac{1}{2}^{-}$, and $\Delta K^{*}$ with $I=2, J^{P}=\frac{3}{2}^{-}$ are all bound, but they all turns into scattering states by coupling with the corresponding open channels. A possible resonance state $\Delta K^{*}$ with $I=1, J^{P}=\frac{5}{2}^{-}$ is proposed. The mass is around $2110.5$ MeV, and the decay modes are $NK$ in $D$-wave or $NK\pi\pi$ in $P$-waves.
Highlights
After decades of experimental and theoretical studies of hadrons, many multiquark candidates have been proposed for the hadrons beyond the ordinary quark-antiquark and threequark structures
The underlying theory of the strong interaction, quantum chromodynamics (QCD) does not forbid the existence of the exotic hadronic states such as glueballs, hybrids, compact multiquark states, and hadronic molecules
In 2003, the LEPS Collaboration announced the observation of pentaquark +(1540) [14], an exotic K+n or K0 p resonance, which inspired many theoretical and experimental work to search for pentaquarks
Summary
After decades of experimental and theoretical studies of hadrons, many multiquark candidates have been proposed for the hadrons beyond the ordinary quark-antiquark and threequark structures. [52], the Nφ resonance state was obtained in the quark delocalization color screening model (QDCSM), where the channel coupling played an important role. The QDCSM was developed in the 1990s with the aim of explaining the similarities between nuclear (hadronic clusters of quarks) and molecular forces [63,64,65] In this model, quarks confined in one cluster are allowed to escape to another cluster; this means that quark distribution in two clusters is not fixed, which is determined by the dynamics of the interacting quark system, and it allows the quark system to choose the most favorable configuration through its own dynamics in a larger Hilbert space. The confinement interaction between quarks in different clusters is modified to include a color screening factor The latter is a model description of the hidden-color channel-coupling effect [66].
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