Quantum Monte Carlo Calculations in Nuclear Theory
Abstract
To a remarkable extent, atomic nuclei can be described as collections of pointlike particles whose dynamics are dictated by a nonrelativistic Hamiltonian involving two and threenucleon potentials.Ab initio approaches are aimed at solving the manybody Schr$$ \overline{o} $$dinger equation associated with the nuclear Hamiltonian, which is a highly nontrivial problem because of the nonperturbative nature and the strong spinisospin dependence of the nuclear forces. Within this framework it is possible to disentangle the theoretical uncertainty coming from modeling the nuclear potential and currents from that due to the approximations that are usually inherent in manybody techniques.Our manybody method of choice is quantum Monte Carlo (QMC), in particular Green’s function Monte Carlo (GFMC), which allows solving the nuclear Schrodinger equation with the required 1%accuracy level for both the ground and the lowlying excited states of A ≤ 12 (A is the number of nucleons) nuclei. Since 2000 we have been achieving excellent agreement with experiment for nuclei with increasing number of nucleons by using the Argonne V18 twonucleon interaction and the Illinois threenucleon interactions (AV18+IL7). During this period many other groups have been developing chiral effective field theory (χEFT) potentials; these are generally nonlocal and notsuitable for QMC methods. We and collaborators have recently developed a local χEFT potential including the Δisobar degrees of freedom which can be used with QMC.
 Authors:

 Argonne National Lab. (ANL), Argonne, IL (United States)
 Publication Date:
 Research Org.:
 Argonne National Lab. (ANL), Argonne, IL (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1483999
 Report Number(s):
 ANL/ALCF/ESP17/10
147725; TRN: US1902691
 DOE Contract Number:
 AC0206CH11357
 Resource Type:
 Technical Report
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Williams, Timothy J., Balakrishnan, Ramesh, Pieper, Steven C., Lovato, Alessandro, Lusk, Ewing, Piarulli, Maria, and Wiringa, Robert. Quantum Monte Carlo Calculations in Nuclear Theory. United States: N. p., 2017.
Web. doi:10.2172/1483999.
Williams, Timothy J., Balakrishnan, Ramesh, Pieper, Steven C., Lovato, Alessandro, Lusk, Ewing, Piarulli, Maria, & Wiringa, Robert. Quantum Monte Carlo Calculations in Nuclear Theory. United States. doi:10.2172/1483999.
Williams, Timothy J., Balakrishnan, Ramesh, Pieper, Steven C., Lovato, Alessandro, Lusk, Ewing, Piarulli, Maria, and Wiringa, Robert. Fri .
"Quantum Monte Carlo Calculations in Nuclear Theory". United States. doi:10.2172/1483999. https://www.osti.gov/servlets/purl/1483999.
@article{osti_1483999,
title = {Quantum Monte Carlo Calculations in Nuclear Theory},
author = {Williams, Timothy J. and Balakrishnan, Ramesh and Pieper, Steven C. and Lovato, Alessandro and Lusk, Ewing and Piarulli, Maria and Wiringa, Robert},
abstractNote = {To a remarkable extent, atomic nuclei can be described as collections of pointlike particles whose dynamics are dictated by a nonrelativistic Hamiltonian involving two and threenucleon potentials.Ab initio approaches are aimed at solving the manybody Schr$ \overline{o} $dinger equation associated with the nuclear Hamiltonian, which is a highly nontrivial problem because of the nonperturbative nature and the strong spinisospin dependence of the nuclear forces. Within this framework it is possible to disentangle the theoretical uncertainty coming from modeling the nuclear potential and currents from that due to the approximations that are usually inherent in manybody techniques.Our manybody method of choice is quantum Monte Carlo (QMC), in particular Green’s function Monte Carlo (GFMC), which allows solving the nuclear Schrodinger equation with the required 1%accuracy level for both the ground and the lowlying excited states of A ≤ 12 (A is the number of nucleons) nuclei. Since 2000 we have been achieving excellent agreement with experiment for nuclei with increasing number of nucleons by using the Argonne V18 twonucleon interaction and the Illinois threenucleon interactions (AV18+IL7). During this period many other groups have been developing chiral effective field theory (χEFT) potentials; these are generally nonlocal and notsuitable for QMC methods. We and collaborators have recently developed a local χEFT potential including the Δisobar degrees of freedom which can be used with QMC.},
doi = {10.2172/1483999},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2017},
month = {9}
}