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Melting of N=20 shell and development of N = 16 and N = 34 shells for neutron-rich nuclei have been studied extensively through inclusion of tensor interaction in Skyrme Hartree Fock theory optimized to reproduce the splitting neutron 1f…

Nuclear Theory · Physics 2015-06-17 Rupayan Bhattacharya

We present a density matrix approach for computing global solutions of restricted open-shell Hartree-Fock theory, based on semidefinite programming (SDP), that gives upper and lower bounds on the Hartree-Fock energy of quantum systems.…

Chemical Physics · Physics 2014-04-22 Srikant Veeraraghavan , David A. Mazziotti

We utilize the axially deformed relativistic Hartree-Fock-Bogoliubov (D-RHFB) model to describe the structure of neutron-rich carbon isotopes, taking into account the continuum, pairing correlations, tensor force and their interplay. In…

Nuclear Theory · Physics 2024-12-13 Jia-Lin An , Qi Lu , Wen Hui Long , Shi-Sheng Zhang

Quantum many-body nuclear dynamics is treated at the mean-field level with the time-dependent Hartree-Fock (TDHF) theory. Low-lying and high-lying nuclear vibrations are studied using the linear response theory. The fusion mechanism is also…

Nuclear Theory · Physics 2014-02-05 C. Simenel , M. Dasgupta , D. J. Hinde , A. Kheifets , A. Wakhle

This is extended version of a previously submitted paper, in which special solutions of the Hartree-Fock (HF) problem for Coulomb interacting electrons, being described by a simple model of the Cu-O planes in La2CuO4, are presented. One of…

Strongly Correlated Electrons · Physics 2009-02-26 Alejandro Cabo-Bizet , Alejandro Cabo-Montes de Oca

Recently, a microscopically motivated nuclear energy density functional was derived by applying the density matrix expansion to the Hartree-Fock (HF) energy obtained from long-range chiral effective field theory two- and three-nucleon…

Nuclear Theory · Physics 2019-01-15 Y. N. Zhang , S. K. Bogner , R. J. Furnstahl

Shell effects in nuclei about the stability line are investigated within the framework of the Relativistic Hartree-Bogoliubov (RHB) theory with self-consistent finite-range pairing. Using 2-neutron separation energies of Ni and Sn isotopes,…

Nuclear Theory · Physics 2009-11-06 M. M. Sharma , A. R. Farhan , S. Mythili

Halo phenomena in deformed nuclei are investigated within a deformed relativistic Hartree Bogoliubov (DRHB) theory. These weakly bound quantum systems present interesting examples for the study of the interdependence between the deformation…

Nuclear Theory · Physics 2014-11-20 Shan-Gui Zhou , Jie Meng , P. Ring , En-Guang Zhao

The nuclear shell model is one of the successful models in theoretical understanding of nuclear structure. If a convenient effective interaction can be found between nucleons, various observables such as energies of nuclear states are…

Nuclear Theory · Physics 2020-01-24 Serkan Akkoyun , Nadjet Laouet , Fatima Benrachi

Restricted open-shell Hartree-Fock (ROHF) theory is formulated as a projected self-consistent unrestricted HF (UHF) model by mathematically constraining spin density eigenvalues. The resulting constrained UHF (CUHF) wave function is…

Strongly Correlated Electrons · Physics 2015-05-19 Takashi Tsuchimochi , Gustavo E. Scuseria

The Density Dependent Relativistic Hadron Field (DDRH) theory, previously introduced and applied to isospin nuclei, is extended to hypernuclei by including the octet hyperons. Infinite matter Dirac-Brueckner theory for octet baryons and the…

Nuclear Theory · Physics 2011-07-19 C. M. Keil , F. Hofmann , H. Lenske

We address consequences of strong tensor and weak spin-orbit terms in the local energy density functional, resulting from fits to the $f_{5/2} - f_{7/2}$ splittings in $^{40}$Ca, $^{48}$Ca, and $^{56}$Ni. In this study, we focus on nuclear…

Nuclear Theory · Physics 2010-01-06 M. Zalewski , W. Satula , J. Dobaczewski , P. Olbratowski , M. Rafalski , T. R. Werner , R. A. Wyss

In the framework of a Skyrme-Hartree-Fock approach combined with BCS method, the role of the tensor force on the pseudospin energy splitting for tin isotope chain is investigated. The tensor force turns out to obviously affect the…

Nuclear Theory · Physics 2011-11-03 J. M. Dong , W. Zuo , J. Z. Gu , Y. Z. Wang , L. G. Cao , X. Z. Zhang

In the latest version of the QMC model, QMC$\pi$-III-T, the density functional is improved to include the tensor component quadratic in the spin-current and a pairing interaction derived in the QMC framework. Traditional pairing strengths…

The density matrix expansion is used to derive a local energy density functional for finite range interactions with a realistic meson exchange structure. Exchange contributions are treated in a local momentum approximation. A generalized…

Nuclear Theory · Physics 2008-11-26 F. Hofmann , H. Lenske

The effect of tensor force on the density dependence of nuclear symmetry energy has been investigated within the framework of the Brueckner-Hartree-Fock approach. It is shown that the tensor force manifests its effect via the tensor…

Nuclear Theory · Physics 2014-04-08 Pei Wang , Wei Zuo

Background: Collective excitations of nuclei and their theoretical descriptions provide an insight into the structure of nuclei. Replacing traditional phenomenological interactions with unitarily transformed realistic nucleon-nucleon…

Nuclear Theory · Physics 2014-09-03 Bastian Erler , Robert Roth

A new density-dependent point-coupling covariant density functional PCF-PK1 is proposed, where the exchange terms of the four-fermion terms are local and are taken into account with the Fierz transformation. The coupling constants of the…

Nuclear Theory · Physics 2022-10-05 Qiang Zhao , Zhengxue Ren , Pengwei Zhao , Jie Meng

It is known for quite some time that approximate density functional (ADF) theories fail disastrously when describing the dis-sociative symmetric radical cations R2+. Considering this dissociation limit, previous work has shown that…

Materials Science · Physics 2016-09-28 Ester Livshits , Roi Baer

The development of reliable ab initio methods for light-matter strong coupling is necessary for a deeper understanding of molecular polaritons. The recently developed strong coupling quantum electrodynamics Hartree-Fock model (SC-QED-HF)…

Chemical Physics · Physics 2025-02-21 Matteo Castagnola , Rosario R. Riso , Yassir El Moutaoukal , Enrico Ronca , Henrik Koch
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