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In a recent paper we studied the behavior of the pairing gaps $\Delta_F$ as a function of the Fermi momentum $k_F$ for neutron and nuclear matter in all relevant angular momentum channels where superfluidity is believed to naturally emerge.…

Nuclear Theory · Physics 2014-12-01 P. Finelli , S. Maurizio , J. W. Holt

In cold atoms and in the crust of neutron stars the pairing gap can reach values comparable with the Fermi energy. While in nuclei the neutron gap is smaller, it is still of the order of a few percent of the Fermi energy. The pairing…

Nuclear Theory · Physics 2021-12-28 Aurel Bulgac

We present solutions of the BCS gap equation in the channels ${}^1S_0$ and ${}^3P_2-{}^3F_2$ in neutron matter based on nuclear interactions derived within chiral effective field theory (EFT). Our studies are based on a representative set…

Nuclear Theory · Physics 2017-02-08 C. Drischler , T. Krüger , K. Hebeler , A. Schwenk

Nuclear matter and finite nuclei exhibit the property of superfluidity by forming Cooper pairs. We review the microscopic theories and methods that are being employed to understand the basic properties of superfluid nuclear systems, with…

Nuclear Theory · Physics 2019-09-27 Armen Sedrakian , John W. Clark

Superfluid states of symmetric nuclear matter with finite total momentum of Cooper pairs (nuclear LOFF phase) are studied with the use of Fermi-liquid theory in the model with Skyrme effective forces. It is considered the case of four-fold…

Nuclear Theory · Physics 2009-11-07 A. A. Isayev

We perform ab initio calculations of three-point mass differences in the odd- and even-mass $^{39-49}$Ca isotopes to probe nuclear superfluidity via empirical neutron pairing gaps. We also quantify the sensitivity of those gaps to the…

Nuclear Theory · Physics 2026-05-15 A. Scalesi , A. Ekström , C. Forssén , G. Hagen

Correlated basis function perturbation theory and the formalism of cluster expansions have been recently employed to obtain an effective interaction from a state-of-the-art nuclear Hamiltonian. We report the results of a study of the…

Nuclear Theory · Physics 2017-05-19 Omar Benhar , Giulia De Rosi , Giovanni Salvi

The separation method developed earlier by us [Nucl. Phys. {\bf A598} 390 (1996)] to calculate and analyze solutions of the BCS gap equation for $^1$S$_0$ pairing is extended and applied to $^3$P$_2$--$^3$F$_2$ pairing in pure neutron…

Nuclear Theory · Physics 2008-11-26 V. V. Khodel , V. A. Khodel , J. W. Clark

The $^3P_2$-$^3F_2$ pairing model is generally considered to provide an adequate description of the superfluid states of neutron matter at densities some 2-3 times that of saturated symmetrical nuclear matter. The problem of solving the…

Nuclear Theory · Physics 2008-11-26 M. V. Zverev , J. W. Clark , V. A. Khodel

The structure and density dependence of the pairing gap in infinite matter is relevant for astrophysical phenomena and provides a starting point for the discussion of pairing properties in nuclear structure. Short-range correlations can…

Nuclear Theory · Physics 2017-10-27 A. Rios , A. Polls , W. H. Dickhoff

We report calculations of the superfluid pairing gap in neutron matter for the $^1S_0$ components of the Reid soft-core $V_6$ and the Argonne $V_{4}'$ two-nucleon interactions. Ground-state calculations have been carried out using the…

Nuclear Theory · Physics 2018-12-18 H. -H. Fan , E. Krotscheck , J. W. Clark

The $^1S_0$-pairing gap in semi-infinite nuclear matter is evaluated microscopically using the effective pairing interaction recently found explicitly in the coordinate representation starting from the separable form of the Paris…

Nuclear Theory · Physics 2009-10-31 M. Baldo , U. Lombardo , E. Saperstein , M. Zverev

We report results of the equation of state of neutron matter in the low--density regime, where the Fermi wave vector ranges from $0.4 fm^{-1} \leq k_F \leq 1.0 fm^{-1}$. Neutron matter in this regime is superfluid because of the strong and…

Nuclear Theory · Physics 2009-10-29 S. Gandolfi , A. Yu. Illarionov , F. Pederiva , K. E. Schmidt , S. Fantoni

We report ab initio calculations of the S wave pairing gap in neutron matter calculated using realistic nuclear Hamiltonians that include two- and three-body interactions. We use a trial state, properly optimized to capture the essential…

Nuclear Theory · Physics 2022-02-08 S. Gandolfi , G. Palkanoglou , J. Carlson , A. Gezerlis , K. E. Schmidt

We calculate the properties of neutron matter and highlight the physics of chiral three-nucleon forces. For neutrons, only the long-range 2 pi-exchange interactions of the leading chiral three-nucleon forces contribute, and we derive…

Nuclear Theory · Physics 2015-03-13 K. Hebeler , A. Schwenk

Experiments with cold Fermi atoms can be tuned to probe strongly interacting fluids that are very similar to the low-density neutron matter found in the crusts of neutron stars. In contrast to traditional superfluids and superconductors,…

Nuclear Theory · Physics 2008-11-26 Alexandros Gezerlis , J. Carlson

Correlated Basis Function (CBF) perturbation theory and the formalism of cluster expansions have been recently employed to obtain an effective interaction from a nuclear Hamiltonian strongly constrained by phenomenology. We report the…

Nuclear Theory · Physics 2017-10-24 Omar Benhar , Giulia De Rosi

Singlet $S$-wave superfluidity of dilute neutron matter is studied within the correlated BCS method, which takes into account both pairing and short-range correlations. First, the equation of state (EOS) of normal neutron matter is…

Nuclear Theory · Physics 2017-05-15 G. E. Pavlou , E. Mavrommatis , Ch. Moustakidis , J. W. Clark

Departures of thermodynamic properties of three-dimensional superfluid $^3$He from the predictions of BCS theory are analyzed. Attention is focused on deviations of the ratios $\Delta(T=0)/T_c$ and $[C_s(T_c)-C_n(T_c)]/C_n(T_c)$ from their…

Superconductivity · Physics 2009-11-11 M. V. Zverev , V. A. Khodel , J. W. Clark

It is shown that under lowering density or temperature a nucleon Fermi superfluid can undergo a phase transition to a new superfluid state corresponding to superposition of states with singlet-triplet (ST) and triplet-singlet (TS) pairing…

Nuclear Theory · Physics 2009-11-06 A. I. Akhiezer , A. A. Isayev , S. V. Peletminsky , A. A. Yatsenko
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