Abstract

In this paper, we calculate mass and probability fractions of meson-meson components of $X(3872)$ in an unquenched quark model. Different from most of other unquenched quark models, the quark pairs creation operator from $^3P_0$ is modified by considering effects of the created quark pair energy and separation between the created quark pair and the valence quark-pair. In the calculation, all the wavefunctions of mesons and the relative motion between two mesons are obtained by solving the corresponding Schr\"{o}dinger equation with the help of gaussian expansion method. The multi-channel coupling of quark-antiquark state with possible meson-meson states are performed. The results show that the $X(3872)$ can be described as a mixing state of dominant charmonium state (70\%) and meson-meson components (30\%).

Highlights

  • The nonrelativistic quark model successfully describes the properties of heavy mesons

  • Since the wellknown exotic state Xð3872Þ was discovered more and more exotic particles that cannot fit well in the meson spectrum have been reported by experimental collaborations

  • These exotic states represent a great challenge for the quark model

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Summary

INTRODUCTION

The nonrelativistic quark model successfully describes the properties of heavy mesons. Since the wellknown exotic state Xð3872Þ was discovered more and more exotic particles that cannot fit well in the meson spectrum have been reported by experimental collaborations These exotic states represent a great challenge for the quark model. Santopinto et al calculated the decay width, components, and mass of Xð3872Þ using the relativistic quark model and 3P0 model, where SHO functions were used [17,24,25,26,27,28]. Ortega et al utilized the unquenched quark model to analyze the decay width and components of Xð3872Þ, and their wave functions for the relative motion between two mesons were obtained by solving the resonating group method equation [18,29,30,31]. The last section is devoted to the summary of the present work

CHIRAL QUARK MODEL AND GEM
Kij m2K 12mimj
Traditional 3P0 operator
32 SC MSC jχ
Modified 3P0 operator
NUMERICAL RESULTS AND DISCUSSIONS
Accumulating approach
Results
SUMMARY
Full Text
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