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Charged-Particle Bound States in Periodic Boxes

Journal Article · · Physical Review Letters
 [1];  [2];  [3]
  1. North Carolina State University, Raleigh, NC (United States); Michigan State University
  2. North Carolina State University, Raleigh, NC (United States)
  3. Michigan State University, East Lansing, MI (United States)
+ Show Author Affiliations
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.
Research Organization:
Michigan State University, East Lansing, MI (United States)
Sponsoring Organization:
National Science Foundation (NSF); USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
SC0013365; SC0013617; SC0018083; SC0021152
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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Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANC
Coulomb
Coulomb energies & analogue states
Finite volume
Whittaker function
ab initio
ab initio calculations
asymptotic normalization coefficient
few-body systems
lattice field theory
lattice simulations
nuclear structure
nuclear structure & decays