dorsal/arxiv
View SchemaAuxiliary Field Diffusion Monte Carlo calculation of ground state properties of neutron drops
| Authors | Francesco Pederiva, A. Sarsa, K. E. Schmidt, S. Fantoni |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0403069 |
| URL | https://arxiv.org/abs/nucl-th/0403069 |
| DOI | 10.1016/j.nuclphysa.2004.06.030 |
| Journal | Nucl.Phys. A742 (2004) 255-268 |
Abstract
The Auxiliary Field Diffusion Monte Carlo method has been applied to simulate droplets of 7 and 8 neutrons. Results for realistic nucleon-nucleon interactions, which include tensor, spin--orbit and three--body forces, plus a standard one--body confining potential, have been compared with analogous calculations obtained with Green's Function Monte Carlo methods. We have studied the dependence of the binding energy, the one--body density and the spin--orbit splittings of $^7n$ on the depth of the confining potential. The results obtained show an overall agreement between the two quantum Monte Carlo methods, although there persist differences in the evaluation of spin--orbit forces, as previously indicated by bulk neutron matter calculations. Energy density functional models, largely used in astrophysical applications, seem to provide results significantly different from those of quantum simulations. Given its scaling behavior in the number of nucleons, the Auxiliary Field Diffusion Monte Carlo method seems to be one of the best candidate to perform {\sl ab initio} calculations on neutron rich nuclei.
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"abstract": "The Auxiliary Field Diffusion Monte Carlo method has been applied to simulate\ndroplets of 7 and 8 neutrons. Results for realistic nucleon-nucleon\ninteractions, which include tensor, spin--orbit and three--body forces, plus a\nstandard one--body confining potential, have been compared with analogous\ncalculations obtained with Green\u0027s Function Monte Carlo methods. We have\nstudied the dependence of the binding energy, the one--body density and the\nspin--orbit splittings of $^7n$ on the depth of the confining potential. The\nresults obtained show an overall agreement between the two quantum Monte Carlo\nmethods, although there persist differences in the evaluation of spin--orbit\nforces, as previously indicated by bulk neutron matter calculations. Energy\ndensity functional models, largely used in astrophysical applications, seem to\nprovide results significantly different from those of quantum simulations.\nGiven its scaling behavior in the number of nucleons, the Auxiliary Field\nDiffusion Monte Carlo method seems to be one of the best candidate to perform\n{\\sl ab initio} calculations on neutron rich nuclei.",
"arxiv_id": "nucl-th/0403069",
"authors": [
"Francesco Pederiva",
"A. Sarsa",
"K. E. Schmidt",
"S. Fantoni"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/j.nuclphysa.2004.06.030",
"journal_ref": "Nucl.Phys. A742 (2004) 255-268",
"title": "Auxiliary Field Diffusion Monte Carlo calculation of ground state properties of neutron drops",
"url": "https://arxiv.org/abs/nucl-th/0403069"
},
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