dorsal/arxiv
View Schema$^1S_0$ superfluid phase--transition in neutron matter with realistic nuclear potentials and modern many--body theories
| Authors | Adelchi Fabrocini, Stefano Fantoni, Alexey Yu. Illarionov, Kevin E. Schmidt, . |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0607034 |
| URL | https://arxiv.org/abs/nucl-th/0607034 |
| DOI | 10.1103/PhysRevLett.95.192501 |
| Journal | Phys.Rev.Lett. 95 (2005) 192501 |
Abstract
The $^1S_0$ pairing in neutron matter has been investigated in presence of realistic two-- and three--nucleon interactions. We have adopted the Argonne $v_{8^\prime}$ NN and the Urbana IX 3N potentials. Quantum Monte Carlo theory, specifically the Auxiliary Field Diffusion Monte Carlo method, and Correlated Basis Function theory are employed in order to get quantitative and reliable estimates of the gap. They both fully take into account the medium modifications due to the interaction induced correlations. The two methods are in good agreement up to the maximum gap density and both point to a slight reduction with respect to the standard BCS value. In fact, the maximum gap is about $2.5 \text{MeV}$ at $k_F \sim 0.8 \text{fm}^{-1}$ in BCS and 2.3--$2.4 \text{MeV}$ at $k_F \sim 0.6 \text{fm}^{-1}$ in correlated matter. At higher densities the Quantum Monte Carlo gap becomes close to BCS. In general, the computed medium polarization effects are much smaller than those previously estimated within \emph{all theories}. Truncations of Argonne $v_{8^\prime}$ to simpler forms give the same gaps in BCS, provided the truncated potentials have been refitted to the same NN data set. Differences among the models appear in the correlated theories, most of the reduction being attributable to the tensor force. The three--nucleon interaction provides an additional increase of the gap of about 0.35 MeV.
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"abstract": "The $^1S_0$ pairing in neutron matter has been investigated in presence of\nrealistic two-- and three--nucleon interactions. We have adopted the Argonne\n$v_{8^\\prime}$ NN and the Urbana IX 3N potentials. Quantum Monte Carlo theory,\nspecifically the Auxiliary Field Diffusion Monte Carlo method, and Correlated\nBasis Function theory are employed in order to get quantitative and reliable\nestimates of the gap. They both fully take into account the medium\nmodifications due to the interaction induced correlations. The two methods are\nin good agreement up to the maximum gap density and both point to a slight\nreduction with respect to the standard BCS value. In fact, the maximum gap is\nabout $2.5 \\text{MeV}$ at $k_F \\sim 0.8 \\text{fm}^{-1}$ in BCS and 2.3--$2.4\n\\text{MeV}$ at $k_F \\sim 0.6 \\text{fm}^{-1}$ in correlated matter. At higher\ndensities the Quantum Monte Carlo gap becomes close to BCS. In general, the\ncomputed medium polarization effects are much smaller than those previously\nestimated within \\emph{all theories}. Truncations of Argonne $v_{8^\\prime}$ to\nsimpler forms give the same gaps in BCS, provided the truncated potentials have\nbeen refitted to the same NN data set. Differences among the models appear in\nthe correlated theories, most of the reduction being attributable to the tensor\nforce. The three--nucleon interaction provides an additional increase of the\ngap of about 0.35 MeV.",
"arxiv_id": "nucl-th/0607034",
"authors": [
"Adelchi Fabrocini",
"Stefano Fantoni",
"Alexey Yu. Illarionov",
"Kevin E. Schmidt",
"."
],
"categories": [
"nucl-th",
"astro-ph"
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"doi": "10.1103/PhysRevLett.95.192501",
"journal_ref": "Phys.Rev.Lett. 95 (2005) 192501",
"title": "$^1S_0$ superfluid phase--transition in neutron matter with realistic nuclear potentials and modern many--body theories",
"url": "https://arxiv.org/abs/nucl-th/0607034"
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