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Related papers: Bare vs effective pairing forces. A microscopic fi…

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We further progress along the line of Ref. [Phys. Rev. {\bf A 94}, 043614 (2016)] where a functional for Fermi systems with anomalously large $s$-wave scattering length $a_s$ was proposed that has no free parameters. The functional is…

Nuclear Theory · Physics 2017-05-24 Denis Lacroix , Antoine Boulet , Marcella Grasso , C. -J. Yang

We survey odd-even nuclear binding energy staggering using density functional theory with several treatments of the pairing interaction including the BCS, Hartree-Fock-Bogoliubov, and the Hartree-Fock-Bogoliubov with the Lipkin-Nogami…

Nuclear Theory · Physics 2011-12-02 G. F. Bertsch , C. A. Bertulani , W. Nazarewicz , N. Schunck , M. V. Stoitsov

A semi-microscopic model for nucleon pairing in nuclei is presented starting from the ab intio BCS gap equation with Argonne v18 force and the self-consistent Energy Density Functional Method basis characterized with the bare nucleon mass.…

Nuclear Theory · Physics 2011-08-11 S. S. Pankratov , M. V. Zverev , M. Baldo , U. Lombardo , E. E. Saperstein

In two-dimensional systems possessing a high degree of symmetry, the repulsive electron-electron interaction produces a pairing force; the mechanism would fail in the presence of strong distortions. We have studied this in the one-band and…

Superconductivity · Physics 2007-05-23 Michele Cini , Gianluca Stefanucci

The entanglement entropy of two gapless non-interacting fermion subsystems is computed approximately in a way that avoids the introduction of replicas and a geometric interpretation of the reduced density matrix. We exploit the similarity…

Statistical Mechanics · Physics 2013-05-29 G. C. Levine , B. A. Friedman

The introduction of the infinite boundary terms and the pairwise interactions [J. Chem. Theory Comput., 10, 5254, (2014)] enables a physically intuitive approach for deriving electrostatic energy and pressure for both neutral and…

Computational Physics · Physics 2026-03-03 Yihao Zhao , Zhonghan Hu

We calculate the effective interaction $W_{eff}$ between two holes added to the ground state of the repulsive three-band Hubbard model. To make contact with Cooper theory and with earlier Hubbard model cluster studies, we first use a…

Superconductivity · Physics 2009-10-31 Michele Cini , Gianluca Stefanucci , Adalberto Balzarotti

The pairing properties of nuclear systems are a sensitive probe of the effective nucleon-nucleon interactions. We compare the 1S0 pairing gaps in nuclear and neutron matter derived from the phenomenological Gogny interaction and a…

Nuclear Theory · Physics 2015-06-26 Armen Sedrakian , T. T. S. Kuo , Herbert Müther , Peter Schuck

We have developed a new Hartree-Fock-Bogoliubov (HFB) code which has been specifically designed to study ground state properties of nuclei near the neutron and proton drip lines. The unique feature of our code is that it takes into account…

Nuclear Theory · Physics 2007-05-23 V. E. Oberacker , A. S. Umar , E. Teran

We derive the low-energy effective action for three-dimensional superfluid Fermi systems in the strong-coupling limit, where superfluidity originates from Bose-Einstein condensation of composite bosons. Taking into account density and…

Superconductivity · Physics 2007-05-23 N. Dupuis

We present a study of the effects of the tensor-isospin term of the effective interaction in Hartree-Fock and Random Phase Approximation calculations. We used finite-range forces of Gogny type, and we added to them a tensor-isospin term…

Nuclear Theory · Physics 2011-07-04 M. Anguiano , G. Co' , V. De Donno , A. M. Lallena

The Comment insists on the following: in our model it is assumed that the effective interactions have specific energy ranges within the single band with a cutoff at \omega_1 for the phononic part and a range from \omega_1 to \omega_2 in the…

Even though the one-dimensional contact interaction requires no regularization, renormalization methods have been shown to improve the convergence of numerical ab initio calculations considerably. In this work, we compare and contrast these…

We discuss the HFB equations in coordinate representation,a suitable method for handling the full effects of the continuous quasiparticle spectrum. We show how the continuum HFB equations can be solved with the correct asymptotic conditions…

Nuclear Theory · Physics 2007-05-23 N. Van Giai , M. Grasso , R. J. Liotta , N. Sandulescu

Recent microscopic studies, based on the theoretical framework of nuclear energy density functionals, have analyzed dynamic (least action) and static (minimum energy) fission paths, and it has been shown that in addition to the important…

Nuclear Theory · Physics 2015-11-19 Jie Zhao , Bing-Nan Lu , Tamara Niksic , Dario Vretenar

We examine the effective interaction of nonrelativistic fermions with an external vector field in superfluid systems. In contrast to the complicated vertex equation, usually used in this case, we apply the approach which does not employ an…

Astrophysics · Physics 2008-11-26 L. B. Leinson

Deformed and spherical even-even nuclei are studied using a finite range simple effective interaction within the Hartree-Fock-Bogoliubov mean field approach. Different parameter sets of the interaction, corresponding to different…

Nuclear Theory · Physics 2017-04-13 B. Behera , X. Viñas , T. R. Routray , L. M. Robledo , M. Centelles , S. P. Pattnaik

Low-lying nuclear states of Sm isotopes are studied in the framework of a collective Hamiltonian based on covariant energy density functional theory. Pairing correlation are treated by both BCS and Bogoliubov methods. It is found that the…

Nuclear Theory · Physics 2015-06-18 J. Xiang , Z. P. Li , J. M. Yao , W. H. Long , P. Ring , J. Meng

Several pairing schemes currently used to describe superfluid nuclei through Hartree-Fock-Bogolyubov (HFB) calculations are briefly reviewed. We put a particular emphasis on the regularization recipes used in connection with zero-range…

Nuclear Theory · Physics 2007-05-23 T. Duguet , K. Bennaceur , P. Bonche

Two fits of the pairing residual interaction in the rare-earth region are independently performed. One is made on the odd-even staggering of masses by comparing measured and explicitly calculated three-point binding-energy differences…