Possible $D^{(*)}\bar{D}^{(*)}$ and $B^{(*)}\bar{B}^{(*)}$ molecular states in the extended constituent quark models

You-Chang Yang; Zhi-Yun Tan; Jialun Ping; Hong-Shi Zong

doi:10.1140/epjc/s10052-017-5137-6

Possible $D^{()}\bar{D}^{()}$ and $B^{()}\bar{B}^{()}$ molecular states in the extended constituent quark models

High Energy Physics - Phenomenology 2017-09-13 v2 Nuclear Theory

Authors: You-Chang Yang , Zhi-Yun Tan , Jialun Ping , Hong-Shi Zong

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Abstract

The possible neutral $D^{(*)}\bar{D}^{(*)}$ and $B^{(*)}\bar{B}^{(*)}$ molecular states are studied in the framework of the constituent quark models, which is extended by including the $s$ -channel one gluon exchange. Using different types of quark-quark potentials, we solve the four-body Schr\"{o}dinger equation by means of the Gaussian expansion method. The bound states of $D^{(*)}\bar{D}^{(*)}$ with $J^{PC}=1^{++},2^{++}$ and $B^{(*)}\bar{B}^{(*)}$ with $J^{PC}=0^{++},1^{+-},1^{++},2^{++}$ are obtained. The molecular states $D^{*}\bar{D}$ with $J^{PC}=1^{++}$ and $B^{*}\bar{B}$ with $J^{PC}=1^{+-}$ are good candidates for the $X(3872)$ and $Z^0_b(10610)$ , respectively.

Keywords

molecular states constituent quark model exotic hadrons s-channel one gluon exchange Gaussian expansion method

Cite

@article{arxiv.1703.09718,
  title  = {Possible $D^{(*)}\bar{D}^{(*)}$ and $B^{(*)}\bar{B}^{(*)}$ molecular states in the extended constituent quark models},
  author = {You-Chang Yang and Zhi-Yun Tan and Jialun Ping and Hong-Shi Zong},
  journal= {arXiv preprint arXiv:1703.09718},
  year   = {2017}
}

Comments

8 pages, 2 figures