Here, we report benchmark calculations of the energy per particle of pure neutron matter as a function of the baryon density using three independent many-body methods: Brueckner–Bethe–Goldstone, Fermi hypernetted chain/single-operator chain, and auxiliary-field diffusion Monte Carlo. Significant technical improvements are implemented in the latter two methods. The calculations are made for two distinct families of realistic coordinate-space nucleon-nucleon potentials fit to scattering data, including the standard Argonne v18 interaction and two of its simplified versions, and four of the new Norfolk Δ -full chiral effective field theory potentials. Primarily because of the advancements in the auxiliary-field diffusion Monte Carlo, we observe good agreement among the three many-body techniques up to nuclear saturation density—the maximum difference in the energy per particle is within 1.5 MeV for all the potentials we consider. At higher densities, the divergences become more important, and are mainly driven by the Fermi hypernetted chain/single-operator calculations. We also study the connection between nucleon-nucleon scattering data and the energy per particle of pure neutron matter. Our results suggest that fitting to higher-energy nucleon-nucleon scattering helps reduce the spread of energies among the models.
Piarulli, M., et al. "Benchmark calculations of pure neutron matter with realistic nucleon-nucleon interactions." Physical Review C, vol. 101, no. 4, Apr. 2020. https://doi.org/10.1103/PhysRevC.101.045801
Piarulli, M., Bombaci, I., Logoteta, D., Lovato, A., & Wiringa, R. B. (2020). Benchmark calculations of pure neutron matter with realistic nucleon-nucleon interactions. Physical Review C, 101(4). https://doi.org/10.1103/PhysRevC.101.045801
Piarulli, M., Bombaci, I., Logoteta, D., et al., "Benchmark calculations of pure neutron matter with realistic nucleon-nucleon interactions," Physical Review C 101, no. 4 (2020), https://doi.org/10.1103/PhysRevC.101.045801
@article{osti_1630077,
author = {Piarulli, M. and Bombaci, I. and Logoteta, D. and Lovato, A. and Wiringa, R. B.},
title = {Benchmark calculations of pure neutron matter with realistic nucleon-nucleon interactions},
annote = {Here, we report benchmark calculations of the energy per particle of pure neutron matter as a function of the baryon density using three independent many-body methods: Brueckner–Bethe–Goldstone, Fermi hypernetted chain/single-operator chain, and auxiliary-field diffusion Monte Carlo. Significant technical improvements are implemented in the latter two methods. The calculations are made for two distinct families of realistic coordinate-space nucleon-nucleon potentials fit to scattering data, including the standard Argonne v18 interaction and two of its simplified versions, and four of the new Norfolk Δ -full chiral effective field theory potentials. Primarily because of the advancements in the auxiliary-field diffusion Monte Carlo, we observe good agreement among the three many-body techniques up to nuclear saturation density—the maximum difference in the energy per particle is within 1.5 MeV for all the potentials we consider. At higher densities, the divergences become more important, and are mainly driven by the Fermi hypernetted chain/single-operator calculations. We also study the connection between nucleon-nucleon scattering data and the energy per particle of pure neutron matter. Our results suggest that fitting to higher-energy nucleon-nucleon scattering helps reduce the spread of energies among the models.},
doi = {10.1103/PhysRevC.101.045801},
url = {https://www.osti.gov/biblio/1630077},
journal = {Physical Review C},
issn = {ISSN 2469-9985},
number = {4},
volume = {101},
place = {United States},
publisher = {American Physical Society (APS)},
year = {2020},
month = {04}}
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 238, Issue 1215, p. 551-567https://doi.org/10.1098/rspa.1957.0017
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 239, Issue 1217, p. 267-279https://doi.org/10.1098/rspa.1957.0037