Systematic study of Zc+ family from a multiquark color flux-tube model

Chengrong Deng, Jialun Ping, Hongxia Huang, and Fan Wang
Phys. Rev. D 92, 034027 – Published 28 August 2015

Abstract

Inspired by the present experimental results of charged charmonium-like states Zc+, we present a systematic study of the tetraquark states [cu][c¯d¯] in a color flux-tube model with a multibody confinement potential. Our investigation indicates that charged charmonium-like states Zc+(3900) or Zc+(3885), Zc+(3930), Zc+(4020) or Zc+(4025), Z1+(4050), Z2+(4250), and Zc+(4200) can be described as a family of tetraquark [cu][c¯d¯] states with the quantum numbers nL2S+1J and JP of 1S31 and 1+, 2S31 and 1+, 1S52 and 2+, 1P31 and 1, 1D51 and 1+, and 1D31 and 1+, respectively. The predicted lowest mass charged tetraquark state [cu][c¯d¯] with 0+ and 1S10 lies at 3780±10MeV/c2 in the model. These tetraquark states have compact three-dimensional spatial configurations similar to a rugby ball with higher orbital angular momentum L between the diquark [cu] and antidiquark [c¯d¯] corresponding to a more prolate spatial distribution. The multibody color flux tube, a collective degree of freedom, plays an important role in the formation of those charged tetraquark states. However, the two heavier charged states Zc+(4430) and Zc+(4475) cannot be explained as tetraquark states [cu][c¯d¯] in this model approach.

  • Received 22 July 2015

DOI:https://doi.org/10.1103/PhysRevD.92.034027

© 2015 American Physical Society

Authors & Affiliations

Chengrong Deng1,2,†, Jialun Ping3,*, Hongxia Huang3,‡, and Fan Wang4,§

  • 1School of Science, Chongqing Jiaotong University, Chongqing 400074, People’s Republic of China
  • 2Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA
  • 3Department of Physics, Nanjing Normal University, Nanjing 210097, People’s Republic of China
  • 4Department of Physics, Nanjing University, Nanjing 210093, People’s Republic of China

  • *Corresponding author. jlping@njnu.edu.cn
  • crdeng@cqjtu.edu.cn
  • hxhuang@njnu.edu.cn
  • §fgwang@chenwang.nju.edu.cn

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Vol. 92, Iss. 3 — 1 August 2015

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