Microscopic study of low-lying spectra ofΛhypernuclei based on a beyond-mean-field approach with a covariant energy density functional

A summary is given of recent work that provides evidence that the functional form of of the nuclear energy density functional, the rearrangement of the self-consistent mean field when changing neutron and proton number, and explicit fluctuations in collective degrees of freedom should be considered simultaneously when analyzing the evolution of shell structure in terms of nuclear energy density functional methods.

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Coexistence and evolution of shapes: mean-field-based interacting boson model

EPJ Web of Conferences ◽

10.1051/epjconf/201922301046 ◽

2019 ◽

Vol 223 ◽

pp. 01046

Author(s):

Kosuke Nomura

Keyword(s):

Energy Density ◽

Density Functional ◽

Energy Surface ◽

Mean Field ◽

Interacting Boson Model ◽

Field Calculation ◽

Excitation Spectra ◽

Energy Density Functional ◽

Collective Coordinates ◽

Boson Model

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 energy density functional provides potential energy surface within the relevant collective coordinates, which is subsequently mapped onto the expectation value of the interacting-boson Hamiltonian in the boson condensate state. This procedure completely determines the strength parameters of the IBM, and the diagonalization of the mapped Hamiltonian yields excitation spectra and transition rates for a given nucleus. Two recent applications of the method are discussed, that is, the descriptions of the intruder states in Cadmiumisotopes and the octupole correlations in neutron-rich odd-mass Barium isotopes.

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NON-MONOTONIC ALPHA- AND 6Li-POTENTIALS FROM ENERGY DENSITY FUNCTIONAL FORMALISM

International Journal of Modern Physics B ◽

10.1142/s0217979208050449 ◽

2008 ◽

Vol 22 (25n26) ◽

pp. 4697-4708 ◽

Cited By ~ 1

Author(s):

S. HOSSAIN ◽

A. K. BASAK ◽

M. A. UDDIN ◽

M. N. A. ABDULLAH ◽

I. REICHSTEIN ◽

...

Keyword(s):

Elastic Scattering ◽

Energy Density ◽

Density Functional ◽

Mean Field ◽

Pauli Principle ◽

Binding Energies ◽

Scattering Data ◽

Functional Formalism ◽

Energy Density Functional ◽

Nucleon Potential

The present status of the α-nucleus potential, generated from the energy density functional (EDF) formalism using a realistic two-nucleon potential, which incorporates the Pauli principle, is discussed. The EDF potentials, calculated using a density distribution of α-particle that yields a binding energy of 20 MeV with a reasonable root-mean-squared radius and observed density distributions of 6 Li and various target nuclei, are found to be shallow and non-monotonic in character. This non-monotonic EDF potential reproduces satisfactorily the experimental elastic scattering data, particularly at energies above the Coulomb barrier. Since the elastic scattering data and the binding energies of all nuclei considered herein are well reproduced using the mean field generated from a realistic two-nucleon potential for nuclear and nucleonic matter, one may conclude to have reasonable information on the equation of states of nuclear and nucleonic matter from a very low to the saturation density from the present investigation.

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