Quantum Monte Carlo studies of a trimer scaling function with microscopic two- and three-body interactions

Madeira, Lucas; Frederico, Tobias; Gandolfi, Stefano; Tomio, Lauro; Yamashita, Marcelo T.

doi:10.1103/physreva.104.033301

Title: Quantum Monte Carlo studies of a trimer scaling function with microscopic two- and three-body interactions

Journal Article · 01 September 2021 · Physical Review A

DOI: https://doi.org/10.1103/physreva.104.033301 · OSTI ID:1890985

^[1];

^[2];

^[3]; Tomio, Lauro ^[4];

^[4]

Univ. of Sao Paulo (Brazil)
Comando-Geral de Tecnologia Aerospacial (CTA), Sao Jose dos Campos (Brazil)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
São Paulo State University (Brazil)

Here, we present an energy scaling function to predict, in a specific range, the energy of bosonic trimers with large scattering lengths and finite range interactions, which is validated by quantum Monte Carlo calculations using microscopic Hamiltonians with two- and three-body potentials. The proposed scaling function depends on the scattering length, effective range, and a reference energy, which we chose as the trimer energy at unitarity. We obtained the scaling function as a limit cycle from the solution of the renormalized zero-range model with effective range corrections. We proposed a simple parametrization of the energy scaling function. Besides the intrinsic interest in theoretical and experimental investigations, this scaling function allows one to probe Efimov physics with only the trimer ground states, which may open opportunities to identify Efimov trimers whenever access to excited states is limited.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Office of Science (SC). Office of Nuclear Physics (NP); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); USDOE Laboratory Directed Research and Development (LDRD) Program; Sao Paulo Research Foundation (FAPESP); Brazilian National Council for Scientific and Technological Development (CNPq); National Science Foundation (NSF)

Grant/Contract Number:: 89233218CNA000001; AC52-06NA25396

OSTI ID:: 1890985

Report Number(s):: LA-UR-21-25692

Journal Information:: Physical Review A, Journal Name: Physical Review A Journal Issue: 3 Vol. 104; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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