L\"uscher equation with long-range forces
High Energy Physics - Lattice
2024-04-25 v3 High Energy Physics - Phenomenology
Nuclear Theory
Abstract
We derive the modified L\"uscher 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.
Cite
@article{arxiv.2402.12985,
title = {L\"uscher equation with long-range forces},
author = {Rishabh Bubna and Hans-Werner Hammer and Fabian Müller and Jin-Yi Pang and Akaki Rusetsky and Jia-Jun Wu},
journal= {arXiv preprint arXiv:2402.12985},
year = {2024}
}
Comments
28 pages, 4 figures