Lüscher equation with long-range forces

2024/02/20 by Rishabh Bubna, Bubna, Rishabh, H.‐W. Hammer +9 · 3 citations
Engineering · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th) #Quantum chaos and dynamical systems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2402.12985

openalex publication_date 2024/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

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.

Cited by

• Lellouch-Lüscher relation for ultracold few-atom systems under confinement
• Data-driven trap theory for nuclear scattering
• Modified Lüscher zeta-function and the modified effective range expansion in the presence of a long-range force

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