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Related papers: Neutron-proton pairing in the BCS approach

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Isoscalar and isovector particle densities are derived analytically by using the approximation of a sharp edged nucleus within the local energy density approach with the proton-neutron asymmetry and spin-orbit effects. Equations for the…

Nuclear Theory · Physics 2009-05-29 A. G. Magner , A. I. Sanzhur , A. M. Gzhebinsky

The eigensolutions of the collective Hamiltonian with different potentials suggested for description of the isovector pair correlations are obtained, analyzed and compared with the experimental energies. It is shown that the isovector pair…

Nuclear Theory · Physics 2021-01-06 G. Nikoghosyan , A. Balabekyan , E. A. Kolganova , R. V. Jolos , D. A. Sazonov

The quartet condensation model (QCM) is extended for the treatment of isovector and isoscalar pairing in odd-odd N=Z nuclei. In the extended QCM approach the lowest states of isospin T=1 and T=0 in odd-odd nuclei are described variationally…

Nuclear Theory · Physics 2017-03-03 D. Negrea , N. Sandulescu , D. Gambacurta

We discuss various properties of singlet S pairing in neutron and nuclear matter in terms of the bare nuclon-nucleon interaction. Relations to the NN phase shifts are discussed, as well as various properties of the BCS wave function and the…

Nuclear Theory · Physics 2007-05-23 O. Elgaroy , M. Hjorth-Jensen

We analyse the properties of the Gogny interaction in homogeneous matter, with special emphasis on the isovector sector. We provide analytical expressions for both the single-particle and the bulk properties of symmetric and asymmetric…

Nuclear Theory · Physics 2014-11-21 R. Sellahewa , A. Rios

The BCS and/or HFB theories are extended by treating the effect of four quasi-particle states perturbatively. The approach is tested on the pairing hamiltonian, showing that it combines the advantage of standard perturbation theory valid at…

Nuclear Theory · Physics 2015-06-05 Denis Lacroix , Danilo Gambacurta

A set of moderately deformed $s-d$ shell nuclei is employed for testing the reliability of the nuclear ground state wave functions which are obtained in the context of a BCS approach and offer a simultaneous consideration of deformation and…

Nuclear Theory · Physics 2009-11-11 Ch. C. Moustakidis , T. S. Kosmas , F. Simkovic , Amand Faessler

Within the minimum model of neutron stars (NS) consisting of neutrons, protons and electrons, a new approach is proposed for inferring the symmetry energy of super-dense neutron-rich nucleonic matter above twice the saturation density…

Nuclear Theory · Physics 2020-06-01 Bao-An Li , Wen-Jie Xie

The symmetry energy in nuclei is studied using a monopole-monopole two boby interaction which has an isospin dependent term. A Hartree theory is developed for this interaction which has an oscillator shell model basis with corresponding…

Nuclear Theory · Physics 2015-06-04 Aram Mekjian , Larry Zamick

Properties of nuclear matter are investigated in the framework of relativistic Brueckner-Hartree-Fock model with the latest high-precision charge-dependent Bonn (pvCD-Bonn) potentials, where the coupling between pion and nucleon is adopted…

Nuclear Theory · Physics 2020-10-28 Chencan Wang , Jinniu Hu , Ying Zhang , Hong Shen

The exact solution of proton-neutron isoscalar-isovector (T=0,1) pairing Hamiltonian with non-degenerate single-particle orbits and equal pairing strengths (g_{T=1}= g_{T=0}) is presented for the first time. The Hamiltonian is a particular…

Nuclear Theory · Physics 2015-06-26 S. Lerma H. , B. Errea , J. Dukelsky , W. Satula

We analyze spatial structure of the neutron Cooper pair in superfluid low-density uniform matter by means of BCS calculations employing a bare force and the effective Gogny interaction. It is shown that the Cooper pair exhibits a strong…

Nuclear Theory · Physics 2009-11-11 Masayuki Matsuo

The Hartree-Fock-Bogoliubov equation for the ground states of even-even atomic nuclei is solved using the canonical representation in the coordinate space for zero range interactions like the Skyrme force. The gradient method is improved…

Nuclear Theory · Physics 2007-05-23 Naoki Tajima

The energy splittings between the proton $1h_{11/2}$ and $1g_{7/2}$ states in the Sb (Z=51) isotopes and the neutron $1i_{13/2}$ and $1h_{9/2}$ states in the ${N=83}$ isotones are analyzed within relativistic quasiparticle-vibration…

Nuclear Theory · Physics 2015-10-27 A. V. Afanasjev , E. Litvinova

The Equation of State (EOS) for asymmetric nuclear matter is discussed starting from a phenomenological hadronic field theory of Serot-Walecka type including exchange terms. In a model with self interactions of the scalar sigma-meson we…

Nuclear Theory · Physics 2009-11-06 V. Greco , M. Colonna , M. Di Toro , G. Fabbri , F. Matera

The coupling of single-particle motion and of vibrations in $^{11}_4$Be produces dressed neutrons which spend only a fraction of the time in pure single-particle states, and which weighting differently from the bare neutrons, lead to parity…

Nuclear Theory · Physics 2016-09-08 G. Gori , F. Barranco , E. Vigezzi , R. A. Broglia

The neutron and proton odd-even mass differences are studied with Hartree-Fock+BCS (HFBCS) calculations with Skyrme interactions and an isospin dependent contact pairing interaction, which is recently derived from a microscopic…

Nuclear Theory · Physics 2009-09-11 C. A. Bertulani , H. F. Lu , H. Sagawa

Isospin is an approximate symmetry in atomic nuclei, arising from the rather similar properties of protons and neutrons. Perhaps the clearest manifestation of isospin within nuclei is in the near-identical structure of excited states in…

Nuclear Experiment · Physics 2020-10-07 J. Henderson , S. R. Stroberg

We propose a new simulation computational method to solve the reduced BCS Hamiltonian based on spin analogy and submatrix diagonalization. Then we further apply this method to solve superconducting energy gap and the results are well…

Quantum Physics · Physics 2015-06-26 Feng Xu , An Min Wang , Xiaodong Yang , Hao You , Xiaosan Ma

Pairing correlations in symmetric nuclear matter are studied within a relativistic mean-field approximation based on a field theory of nucleons coupled to neutral ($\sigma$ and $\omega$) and to charged ($\varrho$) mesons. The Hartree-Fock…

Nuclear Theory · Physics 2016-09-08 F. Matera , G. Fabbri , A. Dellafiore