Search of Possible Double Magic Nuclei in the Superheavy Valley Using Relativistic Mean Field Density Depending Coupling Models

Systematic investigations of the pairing and two-neutron separation energies which play a crucial role in the evolution of shell structure in nuclei, are carried out within the framework of relativistic mean-field model. The shell closures are found to be robust, as expected, up to the lead region. New shell closures appear in low mass region. In the superheavy region, on the other hand, it is found that the shell closures are not as robust, and they depend on the particular combinations of neutron and proton numbers. Effect of deformation on the shell structure is found to be marginal.

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TABLE OF GROUND STATE PROPERTIES OF NUCLEI IN THE RMF MODEL

Modern Physics Letters A ◽

10.1142/s0217732313500685 ◽

2013 ◽

Vol 28 (16) ◽

pp. 1350068 ◽

Cited By ~ 7

Author(s):

TUNCAY BAYRAM ◽

A. HAKAN YILMAZ

Keyword(s):

Ground State ◽

Mean Field ◽

Properties Of Nuclei ◽

Relativistic Mean Field ◽

Ground State Properties ◽

Pairing Correlations ◽

Ground State Energies ◽

Rmf Model

The ground state energies, sizes and deformations of 1897 even–even nuclei with 10≤Z ≤110 have been carried out by using the Relativistic Mean Field (RMF) model. In the present calculations, the nonlinear RMF force NL3* recent refitted version of the NL3 force has been used. The BCS (Bardeen–Cooper–Schrieffer) formalism with constant gap approximation has been taken into account for pairing correlations. The predictions of RMF model for the ground state properties of some nuclei have been discussed in detail.

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Application of finite element methods in relativistic mean-field theory: spherical nucleus

Computer Physics Communications ◽

10.1016/s0010-4655(97)84583-3 ◽

1997 ◽

Vol 101 (1-2) ◽

pp. 75-107 ◽

Cited By ~ 12

Author(s):

W Pöschl ◽

D Vretenar ◽

A Rummel ◽

P Ring

Keyword(s):

Field Theory ◽

Finite Element ◽

Finite Element Methods ◽

Mean Field Theory ◽

Mean Field ◽

Spherical Nucleus ◽

Relativistic Mean Field Theory ◽

Relativistic Mean Field

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Relativistic mean field description of Zn and Ge nuclei

Physical Review C ◽

10.1103/physrevc.59.2541 ◽

1999 ◽

Vol 59 (5) ◽

pp. 2541-2545 ◽

Cited By ~ 14

Author(s):

G. Gangopadhyay

Keyword(s):

Mean Field ◽

Relativistic Mean Field

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RELATIVISTIC MEAN FIELD THEORETICAL FOUNDATION OF THE DROPLET MODEL FOR NUCLEI

International Journal of Modern Physics E ◽

10.1142/s0218301302000673 ◽

2002 ◽

Vol 11 (01) ◽

pp. 55-65 ◽

Cited By ~ 1

Author(s):

CHUN-YUAN GAO ◽

QI-REN ZHANG

Keyword(s):

Mass Formula ◽

Energy Surface ◽

Theoretical Foundation ◽

Mean Field Theory ◽

Mean Field ◽

Binding Energies ◽

Droplet Model ◽

Relativistic Mean Field ◽

Theoretical Foundations ◽

Type Mass

The binding energies per-nucleon for 1654 nuclei, whose mass numbers range from 16 to 263 and charge numbers range from 8 to 106, are calculated by the relativistic mean field theory, with finite nucleon size effect being taken into account. The calculated energy surface goes through the middle of experimental points, and the root mean square deviation for the binding energies per-nucleon is 0.08163 MeV. The numerical results may be well simulated by a droplet model type mass formula. The droplet model is therefore put on the relativistic mean field theoretical foundations.

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