Radius extrapolations for two-body bound states in finite volume

Taurence, Anderson; König, Sebastian

doi:10.1103/physrevc.109.054315

Title: Radius extrapolations for two-body bound states in finite volume

Journal Article · 15 May 2024 · Physical Review. C

DOI: https://doi.org/10.1103/physrevc.109.054315 · OSTI ID:2342009

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North Carolina State University, Raleigh, NC (United States); NC State University
North Carolina State University, Raleigh, NC (United States)

Simulations of quantum systems in finite volume have proven to be a useful tool for calculating physical observables. Such studies to date have focused primarily on understanding the volume dependence of binding energies, from which it is possible to extract asymptotic properties of the corresponding bound state, as well as on extracting scattering information. For bound states, all properties depend on the size of the finite volume, and for precision studies it is important to understand such effects. In this paper, we therefore derive the volume dependence of the mean squared radius of a two-body bound state, using a technique that can be generalized to other static properties in the future. We test our results with explicit numerical examples and demonstrate that we can robustly extract infinite-volume radii from finite-volume simulations in cubic boxes with periodic boundary conditions.

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Research Organization:: North Carolina State University, Raleigh, NC (United States)

Sponsoring Organization:: USDOE Office of Science (SC); National Science Foundation (NSF)

Grant/Contract Number:: SC0024520; SC0024622; SC0013617

OSTI ID:: 2342009

Alternate ID(s):: OSTI ID: 2356904; OSTI ID: 2361102

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 5 Vol. 109; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Title: Radius extrapolations for two-body bound states in finite volume

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