Triplet Pairing in pure neutron matter

Abstract

We study the zero temperature BCS gaps for the triplet channel in pure neutron matter using Similarity Renormalization Group (SRG) evolved interactions. We use the dependence of the results on the SRG resolution scale, as a tool to analyze medium and many-body corrections. In particular, we study the effects of including the three-body interactions at leading order, which appear at N2LO in the Chiral EFT, as well as that of the first-order self-energy corrections on the zero temperature gap. In addition we also extract the transition temperature as a function of densities and verify the BCS scaling of the zero temperature gaps to the transition temperature. We observe that the self-energy effects are very crucial in order to reduce the SRG resolution scale dependence of the results, while the three-body effects at the leading order do not change the two-body resolution scale dependence. On the other hand, the results depend strongly on the three-body cut-off, emphasizing the importance of the missing higher-order three-body effects. We also observe that self-energy effects reduce the overall gap as well as shift the gap closure to lower densities.

13 pages and 16 figures, Improved text for clarity

References in corpus (12)

• Rapid Cooling of the Neutron Star in Cassiopeia A Triggered by Neutron Superfluidity in Dense Matter
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Pairing in high-density neutron matter including short- and long-range correlations
• Pairing in high-density neutron matter including short- and long-range correlations
• Convergence of the Born Series with Low-Momentum Interactions
• Nuclear pairing from microscopic forces: singlet channels and higher-partial waves
• Dependence of the BCS 1S0 superfluid pairing gap on nuclear interactions
• Theory of cooling neutron stars versus observations
• Nuclear Superfluidity and Cooling Time of Neutron-Star Crust
• Neutron matter based on consistently evolved chiral three-nucleon interactions
• Analyzing Neutron Star in HESS J1731-347 from Thermal Emission and Cooling Theory
• Weinberg Eigenvalues and Pairing with Low-Momentum Potentials

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• Reexamining Ginzburg-Landau theory for neutron ${}^3{P}_2$ superfluidity in neutron stars
• Neutron pairing with medium polarization beyond the Landau approximation
• Phase structure of neutron ${}^3{P}_2$ superfluids in strong magnetic fields in neutron stars
• Microscopic description of axisymmetric vortices in ${}^3{P}_2$ superfluids
• Screening and anti-screening of the pairing interaction in low-density neutron matter
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• Three-nucleon forces and superfluidity in neutron matter
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• Critical endpoint and universality class of neutron ${}^3{P}_2$ superfluids in neutron stars
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• Equation of state of superfluid neutron matter with low-momentum interactions
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• Topological defects at the boundary of neutron ${}^3{P}_2$ superfluids in neutron stars
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• Proximity effects of vortices in neutron ${}^3{P}_2$ superfluids in neutron stars: Vortex core transitions and covalent bonding of vortex molecules
• Effects of strong magnetic fields on neutron ${}^3{P}_2$ superfluidity with spin-orbit interactions
• A brief account of Steven Weinberg's legacy in ab initio many-body theory
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