## Quantum Monte Carlo calculations of neutron matter with chiral three-body forces

## Abstract

Chiral effective field theory (EFT) enables a systematic description of low-energy hadronic interactions with controlled theoretical uncertainties. For strongly interacting systems, quantum Monte Carlo (QMC) methods provide some of the most accurate solutions, but they require as input local potentials. We have recently constructed local chiral nucleon-nucleon (NN) interactions up to next-to-next-to-leading order (N ^{2}LO). Chiral EFT naturally predicts consistent many-body forces. In this paper, we consider the leading chiral three-nucleon (3N) interactions in local form. These are included in auxiliary field diffusion Monte Carlo (AFDMC) simulations. We present results for the equation of state of neutron matter and for the energies and radii of neutron drops. Specifically, we study the regulator dependence at the Hartree-Fock level and in AFDMC and find that present local regulators lead to less repulsion from 3N forces compared to the usual nonlocal regulators.

- Authors:

- Technische Univ. Darmstadt, Darmstadt (Germany); GSI Helmholtzzentrum fur Schwerionenforschung GmbH, Darmstadt (Germany)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Univ. of Guelph, Guelph, ON (Canada)

- Publication Date:

- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1329890

- Alternate Identifier(s):
- OSTI ID: 1236720

- Report Number(s):
- LA-UR-15-25564

Journal ID: ISSN 2469-9985; PRVCAN

- Grant/Contract Number:
- AC52-06NA25396; AC02-05CH11231

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Physical Review C

- Additional Journal Information:
- Journal Volume: 93; Journal Issue: 2; Journal ID: ISSN 2469-9985

- Publisher:
- APS

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; atomic and nuclear physics

### Citation Formats

```
Tews, I., Gandolfi, Stefano, Gezerlis, A., and Schwenk, A.. Quantum Monte Carlo calculations of neutron matter with chiral three-body forces. United States: N. p., 2016.
Web. doi:10.1103/PhysRevC.93.024305.
```

```
Tews, I., Gandolfi, Stefano, Gezerlis, A., & Schwenk, A.. Quantum Monte Carlo calculations of neutron matter with chiral three-body forces. United States. doi:10.1103/PhysRevC.93.024305.
```

```
Tews, I., Gandolfi, Stefano, Gezerlis, A., and Schwenk, A.. Tue .
"Quantum Monte Carlo calculations of neutron matter with chiral three-body forces". United States. doi:10.1103/PhysRevC.93.024305. https://www.osti.gov/servlets/purl/1329890.
```

```
@article{osti_1329890,
```

title = {Quantum Monte Carlo calculations of neutron matter with chiral three-body forces},

author = {Tews, I. and Gandolfi, Stefano and Gezerlis, A. and Schwenk, A.},

abstractNote = {Chiral effective field theory (EFT) enables a systematic description of low-energy hadronic interactions with controlled theoretical uncertainties. For strongly interacting systems, quantum Monte Carlo (QMC) methods provide some of the most accurate solutions, but they require as input local potentials. We have recently constructed local chiral nucleon-nucleon (NN) interactions up to next-to-next-to-leading order (N2LO). Chiral EFT naturally predicts consistent many-body forces. In this paper, we consider the leading chiral three-nucleon (3N) interactions in local form. These are included in auxiliary field diffusion Monte Carlo (AFDMC) simulations. We present results for the equation of state of neutron matter and for the energies and radii of neutron drops. Specifically, we study the regulator dependence at the Hartree-Fock level and in AFDMC and find that present local regulators lead to less repulsion from 3N forces compared to the usual nonlocal regulators.},

doi = {10.1103/PhysRevC.93.024305},

journal = {Physical Review C},

number = 2,

volume = 93,

place = {United States},

year = {2016},

month = {2}

}

*Citation information provided by*

Web of Science

Web of Science