Complex scaling in finite volume

Yu, Hang; Yapa, Nuwan; König, Sebastian

doi:10.1103/physrevc.109.014316

Complex scaling in finite volume

Journal Article · Tue Jan 16 00:00:00 EST 2024 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.109.014316· OSTI ID:2342010

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

Quantum resonances, i.e., metastable states with a finite lifetime, play an important role in nuclear physics and other domains. Describing this phenomenon theoretically is generally a challenging task. In this work, we combine two established techniques to address this challenge. Complex scaling makes it possible to calculate resonances with bound-state-like methods. Finite-volume simulations exploit the fact that the infinite-volume properties of quantum systems are encoded in how discrete energy levels change as one varies the size of the volume. Herein we apply complex scaling to systems in finite periodic boxes and derive the volume dependence of states in this scenario, demonstrating with explicit examples how one can use these relations to infer infinite-volume resonance energies and lifetimes.

View Accepted Manuscript (DOE)

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

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

Grant/Contract Number:: SC0013617; SC0024520; SC0024622

OSTI ID:: 2342010

Alternate ID(s):: OSTI ID: 2473980

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 1 Vol. 109; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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