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Related papers: Pairing correlation involving the continuum states

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Properties of density-dependent contact pairing interactions in nuclei are discussed. It is shown that the pairing interaction that is intermediate between surface and volume pairing forces gives the pairing gaps that are compatible with…

Nuclear Theory · Physics 2007-05-23 J. Dobaczewski , W. Nazarewicz , M. V. Stoitsov

Particle and pairing densities in spherical even-even neutron-rich nuclei are studied within the Skyrme-Hartree-Fock-Bogoliubov approach with the density-dependent pairing interaction. The influence of the density dependence of the pairing…

Nuclear Theory · Physics 2011-07-18 J. Dobaczewski , W. Nazarewicz , P. -G. Reinhard

The nuclear structure of even-even and odd lead isotopes (178-236 Pb) is investigated within the Hartree-Fock-Bogoliubov theory. Calculations are performed for a wide range of neutron numbers, starting from the proton-rich side up to the…

Nuclear Theory · Physics 2018-01-10 Younes El Bassem , Mustapha Oulne

We show that the lowest-energy solution of the Hartree-Fock-Bogoliubov (HFB) equation has the even particle-number parity as long as the time-reversal symmetry is conserved in the HFB Hamiltonian without null eigenvalues. Based on this…

Nuclear Theory · Physics 2021-05-11 Haruki Kasuya , Kenichi Yoshida

In a previous work [Int. J. Mod. Phys. E 24, 1550073 (2015)], hereafter referred as paper I, we have investigated the ground-state properties of Nd, Ce and Sm isotopes within Hartree-Fock-Bogoliubov method with SLy5 skyrme force in which…

Nuclear Theory · Physics 2016-07-26 Y. El Bassem , M. Oulne

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

We describe the new version (v2.38j) of the code HFODD which solves the nuclear Skyrme-Hartree-Fock or Skyrme-Hartree-Fock-Bogolyubov problem by using the Cartesian deformed harmonic-oscillator basis. In the new version, we have…

The coordinate-space representation of the Hartree-Fock-Bogoliubov theory is the method of choice to study weakly bound nuclei whose properties are affected by the quasiparticle continuum space. To describe such systems, we developed a…

Nuclear Theory · Physics 2022-03-28 Mengzhi Chen , Tong Li , Bastian Schuetrumpf , Paul-Gerhard Reinhard , Witold Nazarewicz

A method for incorporating the effect of the resonant continuum into Hartree-Fock+BCS equations is proposed. The method is applied for the case of a neutron-rich nucleus calculated with a Skyrme-type force plus a zero-range pairing…

Nuclear Theory · Physics 2016-09-08 N. Sandulescu , Nguyen Van Giai , R. J. Liotta

We investigated effects of pairing correlations on the neutron skin thickness and the symmetry energy of finite nuclei. In this calculation we used Hartree-Fock-Bogoliubov (HFB) method with Skyrme forces and effective pairing interactions.…

Nuclear Theory · Physics 2017-08-23 Soonchul Choi , Ying Zhang , Myung-Ki Cheoun , Youngshin Kwon , Kyungsik Kim , Hungchong Kim

We develop a complete Dirac-Hartree-Fock-Bogoliubov approximation to the ground state wave function and energy of finite nuclei. We apply it to spin-zero proton-proton and neutron-neutron pairing within the Dirac-Hartree-Bogoliubov…

Nuclear Theory · Physics 2009-11-06 B. V. Carlson , D. Hirata

The foundation of the local energy-density functional method to describe the nuclear ground-state properties is given. The method is used to investigate differential observables such as the odd-even mass differences and odd-even effects in…

Nuclear Theory · Physics 2009-11-07 S. A. Fayans , S. V. Tolokonnikov , E. L. Trykov , D. Zawischa

In this work we test the validity of a Hartree-Fock plus Bardeen-Cooper-Schrieffer model in which a finite-range interaction is used in the two steps of the calculation by comparing the results obtained to those found in a fully…

Nuclear Theory · Physics 2015-06-18 M. Anguiano , A. M. Lallena , G. Co' , V. De Donno

We present exact Hartree-Fock-Bogoliubov calculations with the finite range density dependent Gogny force using a triaxial basis. For the first time, all contributions to the Pairing and Fock Fields arising from the Gogny and Coulomb…

Nuclear Theory · Physics 2009-11-06 M. Anguiano , J. L. Egido , L. M. Robledo

We present a new Skyrme-Hartree-Fock-Bogoliubov nuclear-mass model in which the contact-pairing force is constructed from microscopic pairing gaps of symmetric nuclear matter and neutron matter calculated from realistic two- and three-body…

Nuclear Theory · Physics 2010-11-24 S. Goriely , N. Chamel , J. M. Pearson

The neutron and proton odd-even mass differences are systematically studied with Hartree-Fock+BCS (HFBCS) calculations with Skyrme interactions and an isospin dependent contact pairing interaction. The strength of pairing interactions is…

Nuclear Theory · Physics 2015-06-03 C. A. Bertulani , Hongliang Liu , H. Sagawa

The method of choice for describing attractive quantum systems is Hartree-Fock-Bogoliubov (HFB) theory. This is a nonlinear model which allows for the description of pairing effects, the main explanation for the superconductivity of certain…

Numerical Analysis · Mathematics 2013-11-08 Mathieu Lewin , Séverine Paul

A simple and efficient method to treat nuclear pairing correlations within a simple Hartree-Fock--plus-BCS description is proposed and discussed. It relies on the fact that the intensity of pairing correlations depends crucially on level…

Nuclear Theory · Physics 2024-09-18 Meng-Hock Koh , Philippe Quentin

A simple model, in which nuclei are represented as homogeneous spheres of symmetric nuclear matter, is used to study the effects of a self-consistent pairing interaction on the nuclear response. Effects due to the finite size of nuclei are…

Nuclear Theory · Physics 2015-05-18 V. I. Abrosimov , D. M. Brink , A. Dellafiore , F. Matera

The properties of pairing correlation in nuclear matter are investigated by using various versions of Skyrme forces. Truncation of states involving pairing correlation, necessary due to zero range nature of the Skyrme force, is discussed in…

Nuclear Theory · Physics 2009-10-28 S. Takahara , N. Onishi , N. Tajima