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$^1S_0$ superfluid phase-transition in neutron matter with realistic nuclear potentials and modern many-body theories

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dc.contributor.author Fabrocini, Adelchi
dc.contributor.author Fantoni, Stefano
dc.contributor.author Illarionov, Alexey Yu.
dc.contributor.author Schmidt, Kevin E.
dc.date.accessioned 2011-10-04T11:41:27Z
dc.date.available 2011-10-04T11:41:27Z
dc.date.issued 2005-11-03
dc.identifier.citation Phys. Rev. Lett. 95 (2005) 192501 en_US
dc.identifier.uri http://hdl.handle.net/1963/4428
dc.description 4 pages, 1 figure, typeset using REVTeX en_US
dc.description.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. en_US
dc.language.iso en en_US
dc.publisher American Physical Society en_US
dc.relation.ispartofseries arXiv:nucl-th/0607034;
dc.relation.uri 10.1103/PhysRevLett.95.192501 en_US
dc.title $^1S_0$ superfluid phase-transition in neutron matter with realistic nuclear potentials and modern many-body theories en_US
dc.type Article en_US
dc.contributor.department Condensed Matter Theory en_US
dc.miur.area -1 en_US
dc.contributor.area Physics en_US

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