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The most consistently useful simple model for the study of odd deformed nuclei, the particle-rotor model (strong coupling limit of the core-particle coupling model) has nevertheless been beset by a long-standing problem: It is necessary in…

Nuclear Theory · Physics 2016-09-08 Pavlos Protopapas , Abraham Klein

The long standing problem of neutron-proton pairing correlations is revisited by employing the Hartree-Fock-Bogoliubov formalism with neutron-proton mixing in both the particle-hole and particle-hole channels. We compare numerical…

Nuclear Theory · Physics 2018-07-10 A. Márquez Romero , J. Dobaczewski , A. Pastore

We formulate a new scheme of the Hartree-Fock-Bogoliubov mean-field theory applicable to weakly bound and pair correlated deformed nuclei using the coordinate-space Green's function technique. On the basis of a coupled-channel…

Nuclear Theory · Physics 2009-08-20 Hiroshi Oba , Masayuki Matsuo

The relativistic mean-field model, augmented with three types of center-of-mass corrections and two types of rotational corrections, is employed to investigate the ground-state properties of helium, beryllium, and carbon isotopes. The…

Nuclear Theory · Physics 2024-01-08 Yu-Ting Rong

We investigate the possibility of describing triaxial quadrupole deformations for nuclei close to the two-neutron drip line by the Hartree-Fock Bogoliubov method taking into account resonances in the continuum. We use a Skyrme interaction…

Nuclear Theory · Physics 2009-10-28 J. Terasaki , P. -H. Heenen , H. Flocard , P. Bonche

We assess the accuracy of finite-temperature mean-field theory using as a standard the Hamiltonian and model space of the shell model Monte Carlo calculations. Two examples are considered: the nucleus $^{162}$Dy, representing a heavy…

Nuclear Theory · Physics 2016-05-04 Y. Alhassid , G. F. Bertsch , C. N. Gilbreth , H. Nakada

We study the predictions of three mean-field theoretical approaches in the description of the ground state properties of some spherical nuclei far from the stability line. We compare binding energies, single particle spectra, density…

Nuclear Theory · Physics 2015-06-04 G. Co' , V. De Donno , P. Finelli , M. Grasso , M. Anguiano , A. M. Lallena , C. Giusti , A. Meucci , F. D. Pacati

We develop a relativistic mean field (RMF) description of deformed nuclei with the pairing correlations in the BCS approximation. The treatment of the pairing correlations for nuclei with the Fermi surface being close to the threshold of…

Nuclear Theory · Physics 2009-11-10 L. S. Geng , H. Toki , S. Sugimoto , J. Meng

We present a review of recent applications of the relativistic mean-field theory to the structure of nuclei close to the drip-lines. For systems with extreme isospin values, the relativistic Hartree-Bogoliubov model provides a unified and…

Nuclear Theory · Physics 2009-10-31 D. Vretenar , P. Ring , G. A. Lalazissis

Total and energy-angle differential probabilities of positrons created in slow collisions of two identical nuclei are calculated within relativistic two-center approach. The time-dependent Dirac equation is solved in the rotating frame…

High Energy Physics - Phenomenology · Physics 2025-09-10 N. K. Dulaev , D. A. Telnov , V. M. Shabaev , Y. S. Kozhedub , X. Ma , I. A. Maltsev , R. V. Popov , I. I. Tupitsyn

The separation energies of neutrons and protons, binding energies, mean square charge radii, electric quadrupole moments and deformation parameters of the proton and neutron distributions are evaluated for $\beta$ stable even-even nuclei…

Nuclear Theory · Physics 2016-09-08 K. Pomorski , P. Ring , G. A. Lalazissis , A. Baran , Z. Lojewski , B. Nerlo-Pomorska , M. Warda

The Relativistic Hartree Bogoliubov model in coordinate space, with finite range pairing interaction, is applied to the description of $\Lambda$-hypernuclei with a large neutron excess. The addition of the $\Lambda$ hyperon to Ne isotopes…

Nuclear Theory · Physics 2008-11-26 D. Vretenar , W. Pöschl , G. A. Lalazissis , P. Ring

Electron scattering provides a powerful tool to determine charge distributions and transition densities of nuclei. This tool will soon be available for short-lived neutron-rich nuclei. [Purpose] Beyond mean-field methods have been…

Nuclear Theory · Physics 2015-03-10 J. M. Yao , M. Bender , P. -H. Heenen

Basic properties of the nuclear tensor mean fields are reviewed, and their role in changing the shell structure and masses of nuclei is analyzed within the spherical Hartree-Fock-Bogolyubov approach.

Nuclear Theory · Physics 2017-08-23 J. Dobaczewski

Thermal properties of single species nucleon matter are investigated assuming a simple form of the nucleon-nucleon interaction. The nucleons are placed on a cubic lattice, hopping from site to site and interacting through a spin-dependent…

Nuclear Theory · Physics 2014-11-18 T. Abe , R. Seki , A. N. Kocharian

{Full three dimensional static and dynamic mean field calculations using collocation basis splines with a Skyrme type Hamiltonian are described. This program is developed to address the difficult theoretical challenges offered by exotic…

Nuclear Theory · Physics 2009-09-25 C. R. Chinn , A. S. Umar , M. Vallières , M. R. Strayer

We perform particle-number projected mean-field study using the recently developed symmetry-projected Hartree-Fock-Bogoliubov (HFB) equations. Realistic calculations have been performed in sd- and fp-shell nuclei using the shell model…

Nuclear Theory · Physics 2015-05-20 I. Maqbool , J. A. Sheikh , P. A. Ganai , P. Ring

We propose a new method to solve the Hartree-Fock-Bogoliubov equations for weakly bound nuclei whose purpose is to improve the treatment of the continuum when a finite range two-body interaction is used. We replace the traditional expansion…

Nuclear Theory · Physics 2015-06-26 K. Bennaceur , J. F. Berger , B. Ducomet

An overview of a microscopic framework based on the Hartree-Fock description of the mean field is presented which, starting from an effective interaction allows a description of collective motions. A study of the isotope shifts in the Pb…

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
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