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Study of exotic hadron states in the DD* system via the complex momentum representation and Green’s function method

Di Wu, Mao Song*, Jian-You Guo, Gang Li, Xuan Luo, and Peng Wang

  • *Contact author: songmao@ahu.edu.cn
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Phys. Rev. D 114, 014052 – Published 23 July, 2026

DOI: https://doi.org/10.1103/6923-msyd

Abstract

In this paper, we propose a novel approach to investigate exotic hadronic states. For the DD* system, we employ the projection operator method to derive the momentum-space interaction potential. Subsequently, the complex momentum representation (CMR) method is adopted to realize a unified description of bound states, resonant states, and the continuum. By combining the Green’s function and the CMR, the scattering phase shifts and cross sections are determined. This integrated approach provides a comprehensive framework for analyzing the scattering dynamics of the DD* system. In the hadronic molecular state framework, the X(3872), Tcc+, and Zc(3900) states can be consistently explained as bound states, while the G(3900) can be interpreted as a P-wave resonant state. The decomposition of the scattering phase shifts and cross sections facilitates understanding the roles of the resonant and continuum spectrum.

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Phys. Rev. D 114, 014052– Published 23 July, 2026
  • Received 26 May 2026
  • Accepted 8 July 2026
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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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