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L\"uscher equation with long-range forces

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arxiv 2402.12985 v3 pith:GDPCW43L submitted 2024-02-20 hep-lat hep-phnucl-th

Rishabh Bubna , Hans-Werner Hammer , Fabian Müller , Jin-Yi Pang , Akaki Rusetsky , Jia-Jun Wu This is my paper · ORCID
classification hep-lathep-phnucl-th
keywords equationlong-rangemodifieduscheralternativeapproachescausedcircumvent
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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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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  2. Data-driven trap theory for nuclear scattering

    nucl-th 2025-09 conditional novelty 6.0 of 10

    A data-calibrated quantization condition is proposed to extract nuclear scattering phase shifts from harmonic-trap spectra for neutral and charged particles.

  3. Toward extracting scattering phase shift from integrated correlation functions IV: Coulomb corrections

    hep-lat 2025-06 conditional novelty 6.0 of 10

    By subtracting the pure-Coulomb correlation function from the Coulomb-plus-short-range one, the authors derive a divergence-free integral relation to short-range phase shifts and verify it in an exactly solvable model.

  4. Analytic decomposition of two-body electroweak processes with left-hand cuts

    hep-lat 2026-07 accept novelty 5.0 of 10

    An on-shell decomposition of 2+J o2 electroweak amplitudes isolates OPE poles, logs, and triangle singularities, leaving only smooth short-distance functions.

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