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  • Letter
  • Open Access

Distinguishing the spins of Pc(4440) and Pc(4457) with femtoscopic correlation functions

Zhi-Wei Liu1, Jun-Xu Lu1, Ming-Zhu Liu2,1, and Li-Sheng Geng1,3,4,5,*

  • 1School of Physics, Beihang University, Beijing 102206, China
  • 2School of Space and Environment, Beihang University, Beijing 102206, China
  • 3Peng Huanwu Collaborative Center for Research and Education, Beihang University, Beijing 100191, China
  • 4Beijing Key Laboratory of Advanced Nuclear Materials and Physics, Beihang University, Beijing 102206, China
  • 5Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences, Huizhou 516000, Guangdong Province, China

  • *Corresponding author: lisheng.geng@buaa.edu.cn
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Phys. Rev. D 108, L031503 – Published 11 August, 2023

DOI: https://doi.org/10.1103/PhysRevD.108.L031503

Abstract

The spins of the pentaquark states Pc(4440) and Pc(4457) play a decisive role in unraveling their nature, but remain undetermined experimentally. Assuming that they are ΣcD¯* bound states, we demonstrate how one can determine their spins by measuring the Σc+D¯(*)0 correlation functions. We show that one can use the Σc+D¯0 correlation function to fix the size of the Gaussian source and then determine the strength of the Σc+D¯*0 interaction of spin 1/2 and 3/2 and therefore the spins of the Pc(4440) and Pc(4457) states. The method proposed can be applied to decipher the nature of other hadronic molecules and thus deepen our understanding of the nonperturbative strong interaction.

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Phys. Rev. D 108, L031503– Published 11 August, 2023
  • Received 4 June 2023
  • Accepted 25 July 2023
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