Lüscher equation with long-range forces
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arXiv
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| Hauptverfasser: | , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909179737800704 |
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| author | Bubna, Rishabh Hammer, Hans-Werner Müller, Fabian Pang, Jin-Yi Rusetsky, Akaki Wu, Jia-Jun |
| author_facet | Bubna, Rishabh Hammer, Hans-Werner Müller, Fabian Pang, Jin-Yi Rusetsky, Akaki Wu, Jia-Jun |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_12985 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lüscher equation with long-range forces Bubna, Rishabh Hammer, Hans-Werner Müller, Fabian Pang, Jin-Yi Rusetsky, Akaki Wu, Jia-Jun High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Theory 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. |
| title | Lüscher equation with long-range forces |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2402.12985 |