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Dipion transitions from X(3872) to χcJ (J=0, 1, 2)

Qi Wu1, Zhong-Quan Sun1, Dian-Yong Chen2,3,*, Shi-Dong Liu4,†, and Gang Li4,‡

  • *Contact author: chendy@seu.edu.cn
  • †Contact author: liusd@qfnu.edu.cn
  • ‡Contact author: gli@qfnu.edu.cn
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Phys. Rev. D 113, 014015 – Published 14 January, 2026

DOI: https://doi.org/10.1103/19lr-96hx

Abstract

In this work, we investigate the dipion transition processes X(3872)→ππχcJ (J=0, 1, 2) within the framework of heavy hadron chiral perturbation theory, treating X(3872) as a molecular state composed of DD¯*+H.c. components. By analyzing the box and triangle loop diagrams with the nonrelativistic effective field theory power-counting rule, we demonstrate that box diagrams dominate these dipion transition processes. Branching ratios are calculated as functions of the mixing angle θ, which parametrizes the neutral and charged meson compositions of the X(3872). Our results indicate that the branching fractions for X(3872)→ππχc0, X(3872)→ππχc1, and X(3872)→ππχc2 are of the orders of 10−4, 10−3, and 10−5, respectively. We also predict the ratios B[X(3872)→ππχc0/2]/B[X(3872)→ππχc1] and B[X(3872)→π+π−χcJ]/B[X(3872)→π0π0χcJ]. The latter deviates from isospin-symmetry expectations, revealing various degrees of isospin violation. By studying the π+π− and π+χcJ invariant mass spectra, we find a double-bump structure in the π+π− invariant mass distributions of the process X(3872)→π+π−χc1 and π+χc0 invariant mass distribution of the process X(3872)→π+π−χc0, which could be tested by future experimental measurements.

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Phys. Rev. D 113, 014015– Published 14 January, 2026
  • Received 1 October 2025
  • Accepted 23 December 2025
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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.

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