Quantum Monte Carlo formalism for dynamical pions and nucleons

Madeira, Lucas; Lovato, Alessandro; Pederiva, Francesco; Schmidt, Kevin E.

doi:10.1103/PHYsRevC.98.034005

Title: Quantum Monte Carlo formalism for dynamical pions and nucleons

Journal Article · Thu Sep 27 00:00:00 EDT 2018 · Physical Review C

DOI:https://doi.org/10.1103/PHYsRevC.98.034005· OSTI ID:1488383

Madeira, Lucas ^[1]; Lovato, Alessandro ^[2]; Pederiva, Francesco ^[3]; Schmidt, Kevin E. ^[1]

Arizona State Univ., Tempe, AZ (United States)
Trento Institute for Fundamental Physics and Applications, Trento (Italy); Argonne National Lab. (ANL), Argonne, IL (United States)
Trento Institute for Fundamental Physics and Applications, Trento (Italy); Univ. of Trento, Trento (Italy)

In most simulations of nonrelativistic nuclear systems, the wave functions found solving the many-body Schrodinger equations describe the quantum-mechanical amplitudes of the nucleonic degrees of freedom. In those simulations the pionic contributions are encoded in nuclear potentials and electroweak currents, and they determine the low-momentum behavior. In this work we present an alternative quantum Monte Carlo formalism in which both relativistic pions and nonrelativistic nucleons are explicitly included in the quantum-mechanical states of the system. We report the renormalization of the nucleon mass as a function of the momentum cutoff, a Euclidean time density correlation function that deals with the short-time nucleon diffusion, and the pion cloud density and momentum distributions. In the two-nucleon sector we show that the interaction of two static nucleons at large distances reduces to the one-pion exchange potential, and we fit the low-energy constants of the contact interactions to reproduce the binding energy of the deuteron and two neutrons in finite volumes. As a result, we show that the method can be readily applied to light-nuclei.

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Research Organization:: Argonne National Lab. (ANL), Argonne, IL (United States)

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

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1488383

Alternate ID(s):: OSTI ID: 1474192

Journal Information:: Physical Review C, Vol. 98, Issue 3; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 8 works

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References (39)

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