Nuclear binding energies and liquid drop parameters in the extended Thomas-Fermi approximation

In the framework of a recently developed alpha-cluster model a nucleus is represented as a core (alpha-cluster liquid drop with dissolved excess neutron pairs in it) and a nuclear molecule on its surface. From analysis of experimental nuclear binding energies one can find the number of alpha-clusters in the molecule and calculate the nuclear charge radii. It was shown that for isotopes of one Z with growing A the number of alpha-clusters in the molecule decreases to three, which corresponds to the nucleus 12 C for even Z and 15 N for odd Z, and the specific density of the core binding energy ρ grows and reaches its saturation value. In this paper it is shown that the value ρ=2.55 MeV/fm 3 explains the particular number of excess neutrons in stable nuclei.

Download Full-text

Comparison of Variational Solutions of the Thomas-Fermi Model in Terms of the Corrected Ionization Energy

Zeitschrift für Naturforschung A ◽

10.1515/zna-1987-0906 ◽

1987 ◽

Vol 42 (9) ◽

pp. 943-947

Author(s):

I. Agil ◽

A. Alharkan ◽

H . Alhendi ◽

A. Alnaghmoosh

Keyword(s):

Ionization Energy ◽

Trial Function ◽

Binding Energies ◽

Initial Slope ◽

Fermi Model ◽

Thomas Fermi ◽

Variational Solutions ◽

Comparison Of The Results

It is shown that leading corrections, to the ionization energy, of many-electrons atom, can be expressed as leading corrections of initial slope of trial variational solutions of the Thomas-Fermi equation. Some variational solutions with different initial slopes are compared. A comparison of the results shows, that as far as the binding energies are concerned a trial function with its slope not close to the (negative) Baker’s constant may not be suited.

Download Full-text

Nuclear binding energies in lattice models

Journal of Physics G Nuclear and Particle Physics ◽

10.1088/0954-3899/20/12/007 ◽

1994 ◽

Vol 20 (12) ◽

pp. 1907-1917 ◽

Cited By ~ 8

Author(s):

N D Cook

Keyword(s):

Lattice Models ◽

Binding Energies ◽

Nuclear Binding

Download Full-text

Nuclear binding energies on the statistical model

Nuclear Physics ◽

10.1016/0029-5582(58)90161-5 ◽

1958 ◽

Vol 8 ◽

pp. 338-357 ◽

Cited By ~ 5

Author(s):

N.V. Findler

Keyword(s):

Statistical Model ◽

Binding Energies ◽

Nuclear Binding

Download Full-text

Effects of finite nucleon size, vacuum polarization, and electromagnetic spin-orbit interaction on nuclear binding energies and radii in spherical nuclei

Physical Review C ◽

10.1103/physrevc.101.064311 ◽

2020 ◽

Vol 101 (6) ◽

Author(s):

Tomoya Naito ◽

Xavier Roca-Maza ◽

Gianluca Colò ◽

Haozhao Liang

Keyword(s):

Vacuum Polarization ◽

Orbit Interaction ◽

Binding Energies ◽

Spin Orbit ◽

Spin Orbit Interaction ◽

Nuclear Binding ◽

Spherical Nuclei

Download Full-text

TOWARD A NEW PARAMETERIZATION OF THE GOGNY FORCE: NEUTRON MATTER AND NUCLEAR BINDING ENERGIES

International Journal of Modern Physics E ◽

10.1142/s0218301306004181 ◽

2006 ◽

Vol 15 (02) ◽

pp. 339-345 ◽

Cited By ~ 3

Author(s):

F. CHAPPERT ◽

M. GIROD

Keyword(s):

Equation Of State ◽

Nuclear Matter ◽

Variational Calculation ◽

Binding Energies ◽

Neutron Matter ◽

Saturation Point ◽

Nuclear Binding

A new parameterization of the effective Gogny interaction is investigated. It has the property of fitting the neutron matter Equation Of State (EOS) as predicted by a variational calculation. Its properties in nuclear matter (saturation point, compressibility, …) and in nuclei (binding energies) are presented.

Download Full-text