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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

Using techniques of effective field theory, we consider the thermodynamical properties of a dilute two-dimensional plasma interacting via a $1/r$ potential. The first one-loop correction to the partition function is already logarithmically…

Plasma Physics · Physics 2008-11-26 Manuel A. Valle Basagoiti

The formalism of the continuum random-phase approximation theory which treats, without ap- proximations, the continuum part of the single-particle spectrum, is extended to describe charge- exchange excitations. Our approach is…

Nuclear Theory · Physics 2016-04-05 V. De Donno , G. Co' , M. Anguiano , A. M. Lallena

Saturation properties and liquid-gas phase transition of nucleus are analysed in the framework of Hatree-Fock theory. We modify Hill-Wheller formula with a finite-size-effect parameter by fitting the zero-temperature properties of nucleus.…

Nuclear Theory · Physics 2007-05-23 Fu-Guang Cao , Shan-de Yang

The need for a cutoff in the Lamb shift calculation suggests that high-energy virtual photons do not interact with real particles. In this paper, we assume that the creation of virtual photons follows a canonical distribution. As a result,…

General Physics · Physics 2019-11-12 Kohzo Nishida

A relativistic nuclear energy density functional is developed, guided by two important features that establish connections with chiral dynamics and the symmetry breaking pattern of low-energy QCD: a) strong scalar and vector fields related…

Nuclear Theory · Physics 2008-11-26 P. Finelli , N. Kaiser , D. Vretenar , W. Weise

We apply a recently proposed covariant power counting in nucleon-nucleon interactions to study strangeness $S=-1$ $\Lambda N-\Sigma N$ interactions in chiral effective field theory. At leading order, Lorentz invariance introduces 12 low…

Nuclear Theory · Physics 2018-01-08 Kai-Wen Li , Xiu-Lei Ren , Li-Sheng Geng , Bing-Wei Long

The Dirac equation for the Coulomb problem is restated by incorporating a nonlinear effective interaction into the Dirac Hamiltonian: one keeps the $1/r$ dependence for the Coulomb field, but the coupling constant is modified by a factor…

Quantum Physics · Physics 2007-05-23 S. Bruce , J. Diaz-Valdes

A new method of calculating pairing correlations in coordinate space with finite range interactions is presented. In the Hartree-Fock-Bogoliubov (HFB) approach the mean field part is derived from a Skyrme-type force whereas the pairing…

Nuclear Theory · Physics 2009-11-07 M. Grasso , N. Van Giai , N. Sandulescu

In this theoretical study, we have derived a simplified analytical expression for the binding energy per nucleon as a function of density and isospin asymmetry within the relativistic mean-field model. We have generated a new…

Nuclear Theory · Physics 2024-03-06 Praveen K. Yadav , Raj Kumar , M. Bhuyan

We present a new perturbative expansion for pionless effective field theory with Coulomb interactions in which at leading order the spin-singlet nucleon-nucleon channels are taken in the unitarity limit. Presenting results up to…

Nuclear Theory · Physics 2016-04-28 Sebastian König , Harald W. Grießhammer , H. -W. Hammer , U. van Kolck

The odd-even staggerings (OES) on nuclear binding energies are studied systematically within the covariant density functional (CDF) theories, specifically the relativistic Hartree-Fock-Bogoliubov (RHFB) and the relativistic…

Nuclear Theory · Physics 2019-04-24 Long Jun Wang , Bao Yuan Sun , Jian Min Dong , Wen Hui Long

We implement the rotationally-invariant formulation of the two-dimensional Hubbard model, with nearest-neighbors hopping $t$, which allows for the analytical study of the system in the low-energy limit. Both U(1) and SU(2) gauge…

Strongly Correlated Electrons · Physics 2008-12-09 V. A. Apinyan , T. K. Kopec

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

Electromagnetic field produced in high-energy heavy-ion collisions contains much useful information, because the field can be directly related to the motion of the matter in the whole stage of the reaction. One can divide the total…

Nuclear Theory · Physics 2009-10-31 T. Osada , Y. Hama

An explicitly orbital-dependent correlation energy functional is proposed, which is to be used in combination with the orbital-dependent exchange energy functional in energy-band calculations. It bears a close resemblance to the…

Strongly Correlated Electrons · Physics 2009-11-10 Masahiko Higuchi , Hiroshi Yasuhara

The Relativistic Hartree-Fock-Bogoliubov model for axially deformed nuclei (RHFBz) is introduced. The model is based on an effective Lagrangian with density-dependent meson-nucleon couplings in the particle-hole channel, and the pairing…

Nuclear Theory · Physics 2011-08-02 J. -P. Ebran , E. Khan , D. Pena Arteaga , D. Vretenar

The double folding (DF) approach is one of the widely used methods for finding nucleus-nucleus interaction potential. In the present work, the influence of the nuclear matter density on the DF potential and on the Coulomb barrier parameters…

The electromagnetic transition between the almost degenerate 5/2+ and 3/2+ states in Th229 is deemed to be very sensitive to potential changes in the fine structure constant alpha. State of the art Hartree-Fock and Hartree-Fock-Bogoliubov…

Nuclear Theory · Physics 2009-08-18 Elena Litvinova , Hans Feldmeier , Jacek Dobaczewski , Victor Flambaum

Numerical simulation on nuclear collisions are performed using the canonical-basis time-dependent Hartree-Fock-Bogoliubov theory (Cb-TDHFB) in the three-dimensional coordinate space. Comparing results of the Cb-TDHFB and the conventional…

Nuclear Theory · Physics 2014-08-12 Shuichiro Ebata , Takashi Nakatsukasa