Charged-Particle Bound States in Periodic Boxes

Yu, Hang; König, Sebastian; Lee, Dean

doi:10.1103/physrevlett.131.212502

Title: Charged-Particle Bound States in Periodic Boxes

Journal Article · 20 November 2023 · Physical Review Letters

DOI: https://doi.org/10.1103/physrevlett.131.212502 · OSTI ID:2222435

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North Carolina State University, Raleigh, NC (United States); Michigan State University
North Carolina State University, Raleigh, NC (United States)
Michigan State University, East Lansing, MI (United States)

We consider the binding energy of a two-body system with a repulsive Coulomb interaction in a finite periodic volume. We define the finite-volume Coulomb potential as the usual Coulomb potential, except that the distance is defined the shortest separation between the two bodies in the periodic volume. We investigate this problem in one and three-dimensional periodic boxes and derive the asymptotic behavior of the volume dependence for bound states with zero angular momentum in terms of Whittaker functions. We benchmark our results against numerical calculations and show how the method can be used to extract asymptotic normalization coefficients for charged-particle bound states. Furthermore, the results we derive here have immediate applications for calculations of atomic nuclei in finite periodic volumes for the case where the leading finite-volume correction is associated with two charged clusters.

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Research Organization:: Michigan State University, East Lansing, MI (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)

Grant/Contract Number:: SC0013365; SC0021152; SC0018083; SC0013617

OSTI ID:: 2222435

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 21 Vol. 131; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Title: Charged-Particle Bound States in Periodic Boxes

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