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A phenomenological optical potential is generalized to include the Coulomb and nuclear interactions caused by the dynamical deformation of its surface. In the high-energy approach analytical expressions for elastic and inelastic scattering…

Nuclear Theory · Physics 2009-11-11 V. K. Lukyanov , Z. Metawei , E. V. Zemlyanaya

We have explored the occurrence of the spherical shell closures for superheavy nuclei in the framework of the relativistic Hartree-Fock-Bogoliubov (RHFB) theory. Shell effects are characterized in terms of two-nucleon gaps $\delta_{2n(p)}$.…

Nuclear Theory · Physics 2015-06-15 Jia Jie Li , Wen Hui Long , Jerome Margueron , Nguyen Van Giai

Background: Heavy atomic nuclei are often described using the Hartree-Fock-Bogoliubov (HFB) method. In principle, this approach takes into account Pauli effects and pairing correlations while other correlation effects are mimicked through…

Nuclear Theory · Physics 2013-05-13 B. G. Carlsson , J. Toivanen , U. von Barth

Collisions of Bose-Einstein condensates can be used as a mean to generate correlated pairs of atoms. The scattered massive particles, in analogy to photon pairs in quantum optics, might be used in the violation of Bell's inequalities,…

Quantum Gases · Physics 2018-04-25 Pawel Zin , Tomasz Wasak

A systematic numerical investigation of a recently developed nuclear structure approach is presented which diagonalizes the Hamiltonian in the space of the symmetry-projected Hartree-Fock-Bogoliubov (HFB) vacuum and symmetry-projected…

Nuclear Theory · Physics 2008-11-26 E. Bender , K. W. Schmid , Amand Faessler

We present a generalization of the Hartree-Fock Bogoliubov (HFB) theory in which the coupling between one and two quasi-particles is taken into account.This is done by writing the excitation operators as linear combinations of one and two…

Soft Condensed Matter · Physics 2007-05-23 Paolo Tommasini , E. J. V. de Passos , M. O. C. Pires , A. F. R. de Toledo Piza

A two-orbital two-electron diatomic model resembling LiH is used to investigate the differences between the exact L\"owdin-Shull and approximate Hartree-Fock-Bogoliubov and Baerends-Buijse density matrix functionals in the medium- to…

Chemical Physics · Physics 2020-09-09 Robert van Meer , Jeng-Da Chai

Developing a predictive capability for inelastic scattering will find applications in multiple areas. Experimental data for neutron-nucleus inelastic scattering is limited and thus one needs a robust theoretical framework to complement it.…

Nuclear Theory · Physics 2024-01-12 Aaina Thapa , Jutta Escher , Emanuel Chimanski , Marc Dupuis , Sophie Péru , Walid Younes

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

Using the Kadanoff-Baym non-equilibrium Green's function formalism, we derive the self-consistent Hartree-Fock-Bogoliubov (HFB) collisionless kinetic equations and the associated equation of motion for the condensate wavefunction for a…

Condensed Matter · Physics 2009-10-31 Milena Imamovic-Tomasovic , Allan Griffin

We present a strong-coupling expansion of the Bose-Hubbard model which describes both the superfluid and the Mott phases of ultracold bosonic atoms in an optical lattice. By performing two successive Hubbard-Stratonovich transformations of…

Strongly Correlated Electrons · Physics 2007-05-23 K. Sengupta , N. Dupuis

A separable form of pairing interaction in the $^{1}S_{0}$ channel has been introduced and successfully applied in the description of both static and dynamic properties of superfluid nuclei. By adjusting the parameters to reproduce the…

Nuclear Theory · Physics 2009-09-02 Yuan Tian , Zhongyu Ma , Peter Ring

We apply a formalism recently developed to carry out Generator Coordinate Method calculations using a set of Hartree- Fock- Bogoliubov wave functions, where each of the members of the set can be expanded in an arbitrary basis. In this paper…

Nuclear Theory · Physics 2022-05-04 L. M. Robledo

We investigate the property of the high-density nuclear matter probed by the nucleus-nucleus elastic scattering in the framework of the double-folding (DF) model with the complex $G$-matrix interaction. The medium effect including…

Nuclear Theory · Physics 2016-11-23 T. Furumoto , Y. Sakuragi , Y. Yamamoto

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

The main application of Heavy Quark Effective Theory (HQET) and of Soft Collinear Effective Theory (SCET) is in establishing factorization theorems for exclusive and semi-inclusive decays of heavy mesons. However, the calculation of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Benjamin Grinstein

Recently we proposed a particle-number-conserving theory for nuclear pairing [Jia, Phys. Rev. C 88, 044303 (2013)] through the generalized density matrix formalism. The relevant equations were solved for the case when each single-particle…

Nuclear Theory · Physics 2015-12-09 L. Y. Jia

Microscopic optical model potential results for reaction cross sections of proton elastic scattering are presented. The applications cover the 10-1000 MeV energy range and consider both stable and unstable nuclei. The study is based on…

Nuclear Theory · Physics 2008-11-26 H. F. Arellano , M. Girod

A systematic study of 160 heavy and super-heavy nuclei is performed in the Hartree-Fock-Bogoliubov approach with the finite range and density dependent Gogny force with the D1S parameter set. We show calculations in several approximations:…

Nuclear Theory · Physics 2015-06-04 M. Warda , J. L. Egido

Density-functional theory for superfluid systems is developed in the framework of the functional renormalization group based on the effective action formalism. We introduce the effective action for the particle-number and nonlocal pairing…

Nuclear Theory · Physics 2021-05-11 Takeru Yokota , Haruki Kasuya , Kenichi Yoshida , Teiji Kunihiro