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Title: Quantum Monte Carlo formalism for dynamical pions and nucleons

Abstract

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.

Authors:
 [1];  [2];  [3];  [1]
  1. Arizona State Univ., Tempe, AZ (United States)
  2. Trento Institute for Fundamental Physics and Applications, Trento (Italy); Argonne National Lab. (ANL), Argonne, IL (United States)
  3. Trento Institute for Fundamental Physics and Applications, Trento (Italy); Univ. of Trento, Trento (Italy)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); National Science Foundation (NSF)
OSTI Identifier:
1488383
Alternate Identifier(s):
OSTI ID: 1474192
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 98; Journal Issue: 3; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Madeira, Lucas, Lovato, Alessandro, Pederiva, Francesco, and Schmidt, Kevin E. Quantum Monte Carlo formalism for dynamical pions and nucleons. United States: N. p., 2018. Web. doi:10.1103/PHYsRevC.98.034005.
Madeira, Lucas, Lovato, Alessandro, Pederiva, Francesco, & Schmidt, Kevin E. Quantum Monte Carlo formalism for dynamical pions and nucleons. United States. doi:10.1103/PHYsRevC.98.034005.
Madeira, Lucas, Lovato, Alessandro, Pederiva, Francesco, and Schmidt, Kevin E. Thu . "Quantum Monte Carlo formalism for dynamical pions and nucleons". United States. doi:10.1103/PHYsRevC.98.034005. https://www.osti.gov/servlets/purl/1488383.
@article{osti_1488383,
title = {Quantum Monte Carlo formalism for dynamical pions and nucleons},
author = {Madeira, Lucas and Lovato, Alessandro and Pederiva, Francesco and Schmidt, Kevin E.},
abstractNote = {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.},
doi = {10.1103/PHYsRevC.98.034005},
journal = {Physical Review C},
number = 3,
volume = 98,
place = {United States},
year = {2018},
month = {9}
}

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