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  • Letter
  • Open Access

Glimpse into the pion gravitational form factor

Zanbin Xing1,*, Minghui Ding2,†, and Lei Chang1,‡

  • 1School of Physics, Nankai University, Tianjin 300071, China
  • 2Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstraße 400, 01328 Dresden, Germany

  • *xingzb@mail.nankai.edu.cn
  • †m.ding@hzdr.de
  • ‡leichang@nankai.edu.cn
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Phys. Rev. D 107, L031502 – Published 16 February, 2023

DOI: https://doi.org/10.1103/PhysRevD.107.L031502

Abstract

We provide a novel approach to calculate the gravitational form factor of pion under the ladder approximation of the Bethe-Salpeter equation, with contact interactions. Central to this approach is a symmetry-preserving treatment of the dressed ππ amplitude, which shows explicitly the contributions from intrinsic quarks and bound states, the latter being necessary to produce the D-term of pion in the soft-pion limit. The approach we provide in this work can be applied to many processes of physical significance.

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References (27)

  1. Heinz Pagels, Phys. Rev. 144, 1250 (1966).
  2. V. A. Novikov and Mikhail A. Shifman, Z. Phys. C 8, 43 (1981).
  3. Maxim V. Polyakov and Peter Schweitzer, Int. J. Mod. Phys. A 33, 1830025 (2018).
  4. Maxim V. Polyakov, Nucl. Phys. B555, 231 (1999).
  5. Jonathan Hudson and Peter Schweitzer, Phys. Rev. D 96, 114013 (2017).
  6. H. Leutwyler and Mikhail A. Shifman, Phys. Lett. B 221, 384 (1989).
  7. S. Kumano, Qin-Tao Song, and O. V. Teryaev, Phys. Rev. D 97, 014020 (2018).
  8. Adam Freese and Ian C. Cloët, Phys. Rev. C 100, 015201 (2019); 105, 059901(E) (2022).
  9. Wojciech Broniowski and Enrique Ruiz Arriola, Phys. Rev. D 78, 094011 (2008).
  10. Hyeon-Dong Son and Hyun-Chul Kim, Phys. Rev. D 90, 111901 (2014).
  11. Craig D. Roberts, David G. Richards, Tanja Horn, and Lei Chang, Prog. Part. Nucl. Phys. 120, 103883 (2021).
  12. Lei Chang and Craig D. Roberts, Phys. Rev. Lett. 103, 081601 (2009).
  13. Zhen-Ni Xu, Zhao-Qian Yao, Si-Xue Qin, Zhu-Fang Cui, and Craig D. Roberts, arXiv: 2208.13903.
  14. L. Chang, I. C. Cloët, C. D. Roberts, S. M. Schmidt, and P. C. Tandy, Phys. Rev. Lett. 111, 141802 (2013).
  15. Lei Chang, I. C. Cloet, J. J. Cobos-Martinez, C. D. Roberts, S. M. Schmidt, and P. C. Tandy, Phys. Rev. Lett. 110, 132001 (2013).
  16. Minghui Ding, Khépani Raya, Daniele Binosi, Lei Chang, Craig D. Roberts, and Sebastian M. Schmidt, Chin. Phys. C 44, 031002 (2020).
  17. Khepani Raya, Zhu-Fang Cui, Lei Chang, Jose-Manuel Morgado, Craig D. Roberts, and Jose Rodriguez-Quintero, Chin. Phys. C 46, 013105 (2022).
  18. Zanbin Xing and Lei Chang, Phys. Rev. D 107, 014019 (2023).
  19. Z. F. Cui, Minghui Ding, J. M. Morgado, K. Raya, D. Binosi, L. Chang, F. De Soto, C. D. Roberts, J. Rodríguez-Quintero, and S. M. Schmidt, Phys. Rev. D 105, L091502 (2022).
  20. Masako Bando, Masayasu Harada, and Taichiro Kugo, Prog. Theor. Phys. 91, 927 (1994).
  21. Stephen R. Cotanch and Pieter Maris, Phys. Rev. D 66, 116010 (2002).
  22. T. Frederico, Phys. Lett. B 282, 409 (1992).
  23. L. X. Gutierrez-Guerrero, A. Bashir, I. C. Cloet, and C. D. Roberts, Phys. Rev. C 81, 065202 (2010).
  24. Maxim V. Polyakov and C. Weiss, Phys. Rev. D 60, 114017 (1999).
  25. Xiaobin Wang, Zanbin Xing, Jiayin Kang, Khépani Raya, and Lei Chang, Phys. Rev. D 106, 054016 (2022).
  26. R. Brout and F. Englert, Phys. Rev. 141, 1231 (1966).
  27. Lei Chang, Cédric Mezrag, Hervé Moutarde, Craig D. Roberts, Jose Rodríguez-Quintero, and Peter C. Tandy, Phys. Lett. B 737, 23 (2014).

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Phys. Rev. D 107, L031502– Published 16 February, 2023
  • Received 20 November 2022
  • Accepted 21 December 2022
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