• Open Access

Possible precise measurements of the X(3872) mass with the e+eπ0γX(3872) and pp¯γX(3872) reactions

Shuntaro Sakai, Hao-Jie Jing, and Feng-Kun Guo
Phys. Rev. D 102, 114041 – Published 29 December 2020

Abstract

It was recently proposed that the X(3872) binding energy, the difference between the D0D¯*0 threshold and the X(3872) mass, can be precisely determined by measuring the γX(3872) line shape from a short-distance D*0D¯*0 source produced at high-energy experiments. Here, we investigate the feasibility of such a proposal by estimating the cross sections for the e+eπ0γX(3872) and pp¯γX(3872) processes considering the D*0D¯*0D0/D¯*0D*0D¯0 triangle loops. These loops can produce a triangle singularity slightly above the D*0D¯*0 threshold. It is found that the peak structures originating from the D*0D¯*0 threshold cusp and the triangle singularity are not altered much by the energy dependence introduced by the e+eπ0D*0D¯*0 and pp¯D¯*0D*0 production parts or by considering a finite width for the X(3872). We find that σ(e+eπ0γX(3872))×Br(X(3872)π+πJ/ψ) is O(0.1fb) with the γX(3872) invariant mass integrated from 4.01 to 4.02 GeV and the c.m. energy of the e+e pair fixed at 4.23 GeV. The cross section σ(pp¯γX(3872))×Br(X(3872)π+πJ/ψ) is estimated to be of O(10pb). Our results suggest that a precise measurement of the X(3872) binding energy can be done at PANDA.

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  • Received 1 September 2020
  • Accepted 9 December 2020

DOI:https://doi.org/10.1103/PhysRevD.102.114041

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

  1. Physical Systems
Particles & Fields

Authors & Affiliations

Shuntaro Sakai1,*, Hao-Jie Jing1,2,†, and Feng-Kun Guo1,2,‡

  • 1CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
  • 2School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

  • *shsakai@mail.itp.ac.cn
  • jinghaojie@itp.ac.cn
  • fkguo@itp.ac.cn

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Issue

Vol. 102, Iss. 11 — 1 December 2020

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