Isotopic dependence of the nuclear charge radii and binding energies in the relativistic Hartree-Fock formalism

Some ground states features of 32 S , 39 K , 40 Ca and 48 Ca nuclei are investigated using the Hartree–Fock method with the Skyrme SKM * and SLy4 forces calculated in two different code implementations. The calculated total binding energies per particle and root mean square (rms) nuclear charge radii using the Skyrme–Hartree–Fock (SHF) + BCS method are compared with relativistic mean-field (RMF) theory and experimental values. The obtained charge density distributions from these code implementations are compared with the experimental data. Pairing effects are also included in calculations for the same nuclei. Variations of the total binding energies per particle and rms nuclear charge radii were investigated as the last shell nucleons were carried to the upper shell.

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Nuclear Structure Evolution Reflected from Local Relations

Symmetry ◽

10.3390/sym13122253 ◽

2021 ◽

Vol 13 (12) ◽

pp. 2253

Author(s):

Man Bao ◽

Qian Wei

Keyword(s):

Nuclear Charge ◽

Binding Energies ◽

Structure Evolution ◽

Α Decay ◽

Charge Radii ◽

Coexistence Phase ◽

Nuclear Masses ◽

Quadrupole Deformation Parameter ◽

Nuclear Structures ◽

Physical Quantities

The structure evolution of nuclei which are in connection with symmetry breaking is one of the important problems not only for nuclear structures, but also for astrophysics and the spectroscopy of exotic nuclei. Many physical quantities can provide useful information of a shell structure, such as nuclear masses and nuclear charge radii. This paper introduces three kinds of local relations, i.e., the NpNn scheme respectively for the quadrupole deformation parameter and the excitation energy of the first 2+, 4+, 6+ states, the (αN′n+N′p) relation for nuclear charge radii and α decay energies, and the so-called “nonpairing” relation for binding energies and nuclear charge radii. All these relations reflect the evolution of nuclear structures, involving shells, subshells, shape coexistence, phase transition and the Wigner effect. Some results from different models can be verified with each other.

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MASSES AND RADII OF THE NUCLEI WITH N ≥ Z IN AN ALPHA-CLUSTER MODEL

International Journal of Modern Physics E ◽

10.1142/s0218301310015680 ◽

2010 ◽

Vol 19 (05n06) ◽

pp. 1205-1211

Author(s):

G. K. NIE

Keyword(s):

Binding Energy ◽

Cluster Model ◽

Liquid Drop ◽

Nuclear Charge ◽

Binding Energies ◽

Specific Density ◽

Charge Radii ◽

The Core ◽

Nuclear Binding ◽

Alpha Cluster

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.

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INVESTIGATION OF NUCLEAR STRUCTURE OF EVEN–EVEN 98–136Cd, 102–136Te AND 114–146Xe ISOTOPES

Modern Physics Letters A ◽

10.1142/s0217732311035882 ◽

2011 ◽

Vol 26 (19) ◽

pp. 1413-1425

Author(s):

HÜSEYIN AYTEKIN

Keyword(s):

Cross Sections ◽

Nuclear Reactions ◽

Closed Shell ◽

Binding Energies ◽

Proton Density ◽

Neutron Density ◽

Charge Radii ◽

Hartree Fock ◽

Unstable Nuclei ◽

Sly4 Force

In this paper, the ground state properties of neutron rich even–even Cd, Te and Xe isotopes are investigated using the Skyrme–Hartree–Fock–Bogoliubov (SHFB) methods with SKM* and SLy4 force parameters. These isotopes are vital to the structural studies of unstable nuclei taking place at near Z = 50 closed shell. The main subject of this paper is to calculate the binding energies per particle, the rms nuclear charge radii, the rms nuclear proton density radii, and the rms nuclear neutron density radii with SHFB methods. The results are compared with experimental data and with the results of relativistic meanfield theory (RMFT). In addition to these calculations the initial neutron and proton exciton numbers for 112 Cd , 124 Te and 126 Xe isotopes, which have high cross sections for proton induced nuclear reactions (p, 2n) and used for radioisotopes production, will also be calculated. These exciton numbers can be used for pre-equilibrium proton induced (p, 2n) reactions on 112 Cd , 124 Te and 126 Xe isotopes.

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Further evidence for a linear relationship between changes in nuclear charge radii and binding energies per nucleon

Zeitschrift für Physik A Atoms and Nuclei ◽

10.1007/bf01412212 ◽

1980 ◽

Vol 295 (3) ◽

pp. 303-304 ◽

Cited By ~ 5

Author(s):

R. Wenz ◽

E. Matthias ◽

H. Rinneberg ◽

F. Schneider

Keyword(s):

Linear Relationship ◽

Nuclear Charge ◽

Binding Energies ◽

Charge Radii

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Isotopic Dependence of Nuclear Charge Radii and Pairing Energies

Physical Review Letters ◽

10.1103/physrevlett.61.149 ◽

1988 ◽

Vol 61 (2) ◽

pp. 149-152 ◽

Cited By ~ 20

Author(s):

U. Regge ◽

D. Zawischa

Keyword(s):

Nuclear Charge ◽

Charge Radii ◽

Isotopic Dependence

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An investigation of nuclear properties of even–even natural 92–100Mo isotopes

Modern Physics Letters A ◽

10.1142/s0217732314502083 ◽

2014 ◽

Vol 29 (39) ◽

pp. 1450208 ◽

Cited By ~ 2

Author(s):

Ozan Artun ◽

Çağlar Aytekin ◽

Hüseyin Aytekin

Keyword(s):

Nuclear Structure ◽

Root Mean Square ◽

Binding Energies ◽

Experimental Results ◽

Mean Square ◽

Charge Radii ◽

Hartree Fock ◽

Helium 3 ◽

Mo Isotopes

In this study, we have calculated the basic nuclear properties such as binding energies, root mean square (rms) charge radii, and neutron and proton densities of the even–even natural 92–100 Mo isotopes. Investigations were performed using the Hartree–Fock–Bogoliubov (HFB) method with different Skyrme-like forces. Separation energies, which have an important role in nuclear structure, of neutron, proton, deuteron, triton, helium-3 and alpha were also investigated with TALYS 1.4 code. The calculated results were discussed and compared with experimental results.

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Isotope shift calculations of Li-like neutron-rich and neutron-deficient Mg isotopes

Modern Physics Letters B ◽

10.1142/s0217984917500038 ◽

2017 ◽

Vol 31 (02) ◽

pp. 1750003

Author(s):

Geng-Hua Yu ◽

Peng-Yi Zhao ◽

Bing-Ming Xu ◽

Xiao-Ling Zhu ◽

Wei Yang

Keyword(s):

Isotope Shift ◽

Nuclear Charge ◽

Magnesium Isotopes ◽

Isotope Shifts ◽

Charge Radii ◽

Hartree Fock ◽

Relativistic Configuration ◽

Mg Isotopes ◽

Interaction Approach ◽

Relativistic Configuration Interaction

The isotope shifts of the [Formula: see text]–[Formula: see text] transitions for the Li-like neutron-rich and neutron-deficient [Formula: see text] isotopes are calculated using the multi-configuration Dirac–Hartree–Fock (MCDHF) method and the relativistic configuration interaction approach. The results provided herein can be employed for the consistency check with the nuclear root-mean-square (rms) nuclear charge radii of the short-lived magnesium isotopes from the experimental isotope shifts using the corresponding transitions. The methods used here could also be applied to other few-electron Li-like systems and the analogous isotope shift results could be obtained.

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