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Nuclear Theory

arXiv:2310.01504 (nucl-th)
[Submitted on 2 Oct 2023 (v1), last revised 10 Apr 2024 (this version, v2)]

Title:Auxiliary Field Quantum Monte Carlo for Dilute Neutrons on the Lattice

Authors:Ryan Curry, Jayani Dissanayake, Stefano Gandolfi, Alexandros Gezerlis
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Abstract:We employ constrained path Auxiliary Field Quantum Monte Carlo (AFQMC) in the pursuit of studying physical nuclear systems using a lattice formalism. Since AFQMC has been widely used in the study of condensed-matter systems such as the Hubbard model, we benchmark our method against published results for both one- and two-dimensional Hubbard model calculations. We then turn our attention to cold-atomic and nuclear systems. We use an onsite contact interaction that can be tuned in order to reproduce the known scattering length and effective range of a given interaction. Developing this machinery allows us to extend our calculations to study nuclear systems within a lattice formalism. We perform initial calculations for a range of nuclear systems from two- to few-body neutron systems.
Comments: 14 pages, 6 figures, 2 tables
Subjects: Nuclear Theory (nucl-th); Quantum Gases (cond-mat.quant-gas); Computational Physics (physics.comp-ph)
Cite as: arXiv:2310.01504 [nucl-th]
  (or arXiv:2310.01504v2 [nucl-th] for this version)
  https://doi.org/10.48550/arXiv.2310.01504
Journal reference: Phil. Trans. R. Soc. A. 382: 20230127 (2024)
Related DOI: https://doi.org/10.1098/rsta.2023.0127

Submission history

From: Jayani Dissanayake [view email]
[v1] Mon, 2 Oct 2023 18:01:02 UTC (1,471 KB)
[v2] Wed, 10 Apr 2024 18:01:01 UTC (1,452 KB)
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