Lüscher equation with long-range forces

Rishabh Bubna (Helmholtz-Institut für Strahlen- und Kernphysik (Theorie), and Bethe Center for Theoretical Physics, Universität Bonn, Bonn, 53115, Germany) ; Hans-Werner Hammer (Department of Physics, Technische Universität Darmstadt, Darmstadt, 64289, Germany; ExtreMe Matter Institute EMMI and Helmholtz Forschungsakademie Hessen für FAIR (HFHF), GSI Helmholtzzentrum für Schwerionenforschung GmbH, Darmstadt, 64291, Germany) ; Fabian Müller (Helmholtz-Institut für Strahlen- und Kernphysik (Theorie), and Bethe Center for Theoretical Physics, Universität Bonn, Bonn, 53115, Germany) ; Jin-Yi Pang (College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, China) ; Akaki Rusetsky (Helmholtz-Institut für Strahlen- und Kernphysik (Theorie), and Bethe Center for Theoretical Physics, Universität Bonn, Bonn, 53115, Germany; Tbilisi State University, Tbilisi, 0186, Georgia) ; et al. - Show all 6 authors

We derive the modified Lüscher equation in the presence of the long-range force caused by the exchange of a light particle. It is shown that the use of this equation enables one to circumvent the problems related to the strong partial-wave mixing and the t-channel sub-threshold singularities. It is also demonstrated that the present method is intrinsically linked to the so-called modified effective-range expansion (MERE) in the infinite volume. A detailed comparison with the two recently proposed alternative approaches is provided.

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          "value": "Department of Physics, Technische Universit\u00e4t Darmstadt, Darmstadt, 64289, Germany", 
          "organization": "Technische Universit\u00e4t Darmstadt"
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        {
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      "surname": "Hammer", 
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      "surname": "M\u00fcller", 
      "email": "f.mueller@hiskp.uni-bonn.de", 
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      "surname": "Pang", 
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          "country": "China", 
          "value": "School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China", 
          "organization": "University of Chinese Academy of Sciences"
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      "surname": "Wu", 
      "email": "wujiajun@ucas.ac.cn", 
      "full_name": "Wu, Jia-Jun", 
      "given_names": "Jia-Jun"
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      "value": "We derive the modified L\u00fcscher equation in the presence of the long-range force caused by the exchange of a light particle. It is shown that the use of this equation enables one to circumvent the problems related to the strong partial-wave mixing and the t-channel sub-threshold singularities. It is also demonstrated that the present method is intrinsically linked to the so-called modified effective-range expansion (MERE) in the infinite volume. A detailed comparison with the two recently proposed alternative approaches is provided."
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Published on:
14 May 2024
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2024 (2024)
Issue 5
Pages 1-28
DOI:
https://doi.org/10.1007/JHEP05(2024)168
arXiv:
2402.12985v2
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

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