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Worldline Monte Carlo method for few-body nuclear physics

Publication ,  Journal Article
Chandrasekharan, S; Nguyen, ST; Richardson, TR
Published in: Physical Review C
August 1, 2024

In this work we introduce a worldline-based fermion Monte Carlo algorithm for studying few body quantum mechanics of self-interacting fermions in the Hamiltonian lattice formulation. Our motivation to construct the method comes from our interest in studying renormalization of chiral nuclear effective-field theory with lattice regularization. In particular we wish to apply our method to compute the lattice spacing dependence of local lattice interactions as we take the continuum limit of the lattice theory. Our algorithm can compute matrix elements of the operator exp(-βH), where H is the lattice Hamiltonian and β is a free real parameter. These elements help us compute deep bound states that are well separated from scattering states even at values of β which are not very large. Computing these bound-state energies accurately can help us study renormalization of the lattice theory. In addition to developing the algorithm, in this work we also introduce a finite-volume renormalization scheme for the lattice Hamiltonian of the leading pionless effective-field theory and show how it would work in the one- and two-body sectors.

Duke Scholars

Published In

Physical Review C

DOI

EISSN

2469-9993

ISSN

2469-9985

Publication Date

August 1, 2024

Volume

110

Issue

2

Related Subject Headings

  • 5106 Nuclear and plasma physics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Chandrasekharan, S., Nguyen, S. T., & Richardson, T. R. (2024). Worldline Monte Carlo method for few-body nuclear physics. Physical Review C, 110(2). https://doi.org/10.1103/PhysRevC.110.024002
Chandrasekharan, S., S. T. Nguyen, and T. R. Richardson. “Worldline Monte Carlo method for few-body nuclear physics.” Physical Review C 110, no. 2 (August 1, 2024). https://doi.org/10.1103/PhysRevC.110.024002.
Chandrasekharan S, Nguyen ST, Richardson TR. Worldline Monte Carlo method for few-body nuclear physics. Physical Review C. 2024 Aug 1;110(2).
Chandrasekharan, S., et al. “Worldline Monte Carlo method for few-body nuclear physics.” Physical Review C, vol. 110, no. 2, Aug. 2024. Scopus, doi:10.1103/PhysRevC.110.024002.
Chandrasekharan S, Nguyen ST, Richardson TR. Worldline Monte Carlo method for few-body nuclear physics. Physical Review C. 2024 Aug 1;110(2).

Published In

Physical Review C

DOI

EISSN

2469-9993

ISSN

2469-9985

Publication Date

August 1, 2024

Volume

110

Issue

2

Related Subject Headings

  • 5106 Nuclear and plasma physics