### Abstract

Nuclear structure quantum Monte Carlo methods such as Green's function or auxiliary field diffusion Monte Carlo have used phenomenological local real-space potentials containing as few derivatives as possible, such as the Argonne-Urbana family of interactions, to make sampling simple and efficient. Basis set methods such as no-core shell model and coupled-cluster techniques typically use softer non-local potentials because of their more rapid convergence with basis set size. These non-local potentials are usually defined in momentum space and are often based on effective field theory. Comparisons of the results of the two types of methods can be difficult when different potentials are used. We show methods for evaluating the real-space imaginary-time propagators needed to perform quantum Monte Carlo calculations using such non-local potentials. We explore the universality of the large imaginary time propagators for different potentials and discuss how non-local potentials can be used in quantum Monte Carlo calculations.

Original language | English (US) |
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Article number | 014324 |

Journal | Physical Review C - Nuclear Physics |

Volume | 86 |

Issue number | 1 |

DOIs | |

State | Published - Jul 19 2012 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Real-space imaginary-time propagators for non-local nucleon-nucleon potentials.** / Lynn, J. E.; Schmidt, Kevin.

Research output: Contribution to journal › Article

*Physical Review C - Nuclear Physics*, vol. 86, no. 1, 014324. https://doi.org/10.1103/PhysRevC.86.014324

}

TY - JOUR

T1 - Real-space imaginary-time propagators for non-local nucleon-nucleon potentials

AU - Lynn, J. E.

AU - Schmidt, Kevin

PY - 2012/7/19

Y1 - 2012/7/19

N2 - Nuclear structure quantum Monte Carlo methods such as Green's function or auxiliary field diffusion Monte Carlo have used phenomenological local real-space potentials containing as few derivatives as possible, such as the Argonne-Urbana family of interactions, to make sampling simple and efficient. Basis set methods such as no-core shell model and coupled-cluster techniques typically use softer non-local potentials because of their more rapid convergence with basis set size. These non-local potentials are usually defined in momentum space and are often based on effective field theory. Comparisons of the results of the two types of methods can be difficult when different potentials are used. We show methods for evaluating the real-space imaginary-time propagators needed to perform quantum Monte Carlo calculations using such non-local potentials. We explore the universality of the large imaginary time propagators for different potentials and discuss how non-local potentials can be used in quantum Monte Carlo calculations.

AB - Nuclear structure quantum Monte Carlo methods such as Green's function or auxiliary field diffusion Monte Carlo have used phenomenological local real-space potentials containing as few derivatives as possible, such as the Argonne-Urbana family of interactions, to make sampling simple and efficient. Basis set methods such as no-core shell model and coupled-cluster techniques typically use softer non-local potentials because of their more rapid convergence with basis set size. These non-local potentials are usually defined in momentum space and are often based on effective field theory. Comparisons of the results of the two types of methods can be difficult when different potentials are used. We show methods for evaluating the real-space imaginary-time propagators needed to perform quantum Monte Carlo calculations using such non-local potentials. We explore the universality of the large imaginary time propagators for different potentials and discuss how non-local potentials can be used in quantum Monte Carlo calculations.

UR - http://www.scopus.com/inward/record.url?scp=84864415363&partnerID=8YFLogxK

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U2 - 10.1103/PhysRevC.86.014324

DO - 10.1103/PhysRevC.86.014324

M3 - Article

VL - 86

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 1

M1 - 014324

ER -