Abstract

The magnetic dipole moment of the exotic $Z_b(10610)$ state is calculated within the light cone QCD sum rule method using the diquark-antidiquark and molecule interpolating currents. The magnetic dipole moment is obtained as $\mu_{Z_b}=1.73\pm 0.63~\mu_N$ in diquark-antidiquark picture and $\mu_{Z_b}=1.59\pm 0.58~\mu_N$ in the molecular case. The obtained results in both pictures together with the results of other theoretical studies on the spectroscopic parameters of the $Z_b(10610)$ state may be useful in determination of the nature and quark organization of this state.

Highlights

  • According to QCD and the conventional quark model, the standard hadrons, and exotic states such as meson-baryon molecules, tetraquarks, pentaquarks, glueball, and hybrids can exist

  • The magnetic dipole moment of the exotic Zbð10610Þ state is calculated within the light cone QCD sum rule method using the diquark-antidiquark and molecule interpolating currents

  • We numerically analyze the results of calculations for magnetic dipole moment of the Zb state

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Summary

INTRODUCTION

According to QCD and the conventional quark model, the standard hadrons, and exotic states such as meson-baryon molecules, tetraquarks, pentaquarks, glueball, and hybrids can exist. More than twenty exotic states have been observed experimentally [for details, see [8,9,10,11,12,13,14,15]] The failure of these states to fit the standard particles’ structures and violation of some conservation laws such as isospin symmetry, make these states suitable tools for studying the nonperturbative nature of QCD. MZb 1⁄4 10607.2 Æ 2 MeV; MZ0b 1⁄4 10652.2 Æ 1.5 MeV; ΓZb 1⁄4 18.4 Æ 2.4 MeV; ΓZ0b 1⁄4 11.5 Æ 2.2 MeV: The analysis of the angular distribution shows that the quantum numbers of both states are IGðJPÞ 1⁄4 1þð1þÞ Both Zb and Z0b belong to the family of charged hiddenbottom states.

Published by the American Physical Society
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SqðxÞ i
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Γi γ
NUMERICAL ANALYSIS AND CONCLUSION

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