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Related papers: Shell-model Hamiltonian from self-consistent mean-…

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We describe a procedure for mapping a self-consistent mean-field theory (also known as density functional theory) into a shell model Hamiltonian that includes quadrupole-quadrupole and monopole pairing interactions in a truncated space. We…

Nuclear Theory · Physics 2008-11-26 R. Rodriguez-Guzman , Y. Alhassid , G. F. Bertsch

The density functional theory of nuclear structure provides a many-particle wave function that is useful for static properties, but an extension of the theory is necessary to describe correlation effects or other dynamic properties. Here we…

Nuclear Theory · Physics 2009-11-11 Y. Alhassid , G. F. Bertsch , L. Fang , B. Sabbey

The recently-proposed effective shell-model interaction, the pairing-plus-multipole Hamiltonian with the monopole interaction obtained by empirical fits starting from the monopole-based universal force (PMMU), is systematically applied to…

Nuclear Theory · Physics 2015-10-20 K. Kaneko , T. Mizusaki , Y. Sun , S. Tazaki

Self-consistent mean-field models are a powerful tool in the investigation of nuclear structure and low-energy dynamics. They are based on effective energy-density functionals, often formulated in terms of effective density-dependent…

Nuclear Theory · Physics 2008-11-26 J. R. Stone , P. -G. Reinhard

The dynamical symmetries of the Fermion Dynamical Symmetry Model are used as a principle of truncation for the spherical shell model. Utilizing the usual principle of energy-dictated truncation to select a valence space, and…

Nuclear Theory · Physics 2009-10-28 M. W. Guidry , D. H. Feng , X. W. Pan , C. -L. Wu

We present the code HF-SHELL for solving the self-consistent mean-field equations for configuration-interaction shell model Hamiltonians in the proton-neutron formalism. The code can calculate both ground-state and finite-temperature…

Nuclear Theory · Physics 2021-03-15 W. Ryssens , Y. Alhassid

A method for beyond-mean-field calculations based on an energy density functional is described. The main idea is to map the energy surface for the nuclear quadrupole deformation, obtained from an energy density functional at the mean-field…

Nuclear Theory · Physics 2022-12-16 J. Ljungberg , J. Boström , B. G. Carlsson , A. Idini , J. Rotureau

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

We present an approach to derive effective shell-model interactions from microscopic nuclear forces. The similarity-transformed coupled-cluster Hamiltonian decouples the single-reference state of a closed-shell nucleus and provides us with…

Nuclear Theory · Physics 2018-12-05 Z. H. Sun , T. D. Morris , G. Hagen , G. R. Jansen , T. Papenbrock

First self-consistent realistic shell-model calculation for the light p-shell nuclei is performed, starting from the high-precision nucleon-nucleon (NN) CD-Bonn potential. This realistic potential is renormalized deriving a low-momentum NN…

Nuclear Theory · Physics 2009-11-11 L. Coraggio , N. Itaco

We construct valence-space Hamiltonians for use in shell-model calculations, where the residual two-body interaction is based on symmetry principles and the low-momentum expansion from chiral effective field theory. In addition to the usual…

Nuclear Theory · Physics 2018-11-13 Lukas Huth , Victoria Durant , Johannes Simonis , Achim Schwenk

We present the results of the application of a nuclear potential consisting of two- and three-nucleon contact interactions in nuclear structure investigations. The nuclear Hamiltonian has been derived for a very low-energy regime within the…

Nuclear Theory · Physics 2025-11-25 Songlin Lyu , Francesco Amodio , Giovanni De Gregorio , Nunzio Itaco , Luigi Coraggio

We propose a unified realistic shell-model Hamiltonian employing the pairing plus multipole Hamiltonian combined with the monopole interaction constructed starting from the monopole-based universal force by Otsuka it et al. (Phys. Rev.…

Nuclear Theory · Physics 2015-06-18 K. Kaneko , T. Mizusaki , Y. Sun , S. Tazaki

The density-dependent finite-range Gogny force has been used to derive the effective Hamiltonian for the shell-model calculations of nuclei. The density dependence simulates an equivalent three-body force, while the finite range gives a…

Nuclear Theory · Physics 2018-10-31 Weiguang Jiang , Baishan Hu , Zhonghao Sun , Furong Xu

We study boron, carbon, nitrogen and oxygen isotopes with a newly constructed shell-model Hamiltonian developed from monopole-based-universal interaction ($V_{MU}$). The present Hamiltonian can reproduce well the ground-state energies,…

Nuclear Theory · Physics 2012-09-26 Cenxi Yuan , Toshio Suzuki , Takaharu Otsuka , Furong Xu , Naofumi Tsunoda

A method of deriving the Hamiltonian of the interacting boson model, that is based on the microscopic framework of the nuclear energy density functional, is presented. The constrained self-consistent mean-field calculation with a given…

Nuclear Theory · Physics 2019-12-18 Kosuke Nomura

The pseudo-SU(3) model is used to describe the low-energy spectra as well as $E2$ and $M1$ transition strengths in $^{158}$Gd. The Hamiltonian includes spherical single-particle energies, the quadrupole-quadrupole and proton and neutron…

Nuclear Theory · Physics 2017-08-23 G. Popa , J. P. Draayer , J. G. Hirsch

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

Background: Computationally tractable models of atomic nuclei is a long-time goal of nuclear structure physics. A flexible framework which easily includes excited states and many-body correlations is the configuration-interaction shell…

Nuclear Theory · Physics 2026-01-15 Y. X. Yu , Y. Lu , G. J. Fu , Calvin W. Johnson , Z. Z. Ren

We investigate the properties of the single Lambda hypernuclei within a Skyrme-Hartree-Fock (SHF) model. The parameters of the Skyrme type effective lambda-nucleon (Lambda N) interaction are obtained by fitting to the experimental Lambda…

Nuclear Theory · Physics 2012-06-01 Neelam Guleria , Shashi K. Dhiman , Radhey Shyam
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