scholarly journals MAGIC NUCLEI IN SUPERHEAVY VALLEY

2012 ◽  
Vol 27 (30) ◽  
pp. 1250173 ◽  
Author(s):  
M. BHUYAN ◽  
S. K. PATRA
Keyword(s):  
Mean Field ◽  
Magic Number ◽  
Shell Correction ◽  
Magic Numbers ◽  
Neutron Separation Energy ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Wide Range ◽  
Neutron Magic Number ◽  
Shell Correction Energy

An extensive theoretical search for the proton magic number in the superheavy valley beyond Z = 82 and the corresponding neutron magic number after N = 126 is carried out. For this we scanned a wide range of elements Z = 112–130 and their isotopes. The well-established non-relativistic Skryme–Hartree–Fock and Relativistic Mean Field formalisms with various force parameters are used. Based on the calculated systematics of pairing gap, two-neutron separation energy and the shell correction energy for these nuclei, we find Z = 120 as the next proton magic and N = 172, 182/184, 208 and 258 the subsequent neutron magic numbers.

scholarly journals Distinct ground state features and the decay chains of Z = 121 superheavy nuclei

2018 ◽  
Vol 27 (09) ◽  
pp. 1850074 ◽  
Author(s):  
G. Saxena ◽  
U. K. Singh ◽  
M. Kumawat ◽  
M. Kaushik ◽  
S. K. Jain ◽  
...  
Keyword(s):  
Ground State ◽  
Mean Field ◽  
Coulomb Field ◽  
Shell Correction ◽  
Superheavy Nuclei ◽  
Neutron Separation Energy ◽  
Theoretical Frameworks ◽  
Decay Modes ◽  
Relativistic Mean Field ◽  
State Dependent

A fully systematic study of even and odd isotopes [Formula: see text] of [Formula: see text] superheavy nuclei is presented in theoretical frameworks of Relativistic mean-field plus state dependent BCS approach and macroscopic–microscopic approach with triaxially deformed Nilsson-Strutinsky prescription. The ground state properties namely shell correction, binding energy, two- and one-proton and neutron separation energy, shape, deformation, density profile and the radius are estimated that show strong evidences for magicity in [Formula: see text], 228. Central depletion in the charge density due to large repulsive Coulomb field indicating bubble like structure is reported. A comprehensive analysis for the possible decay modes specifically [Formula: see text]-decay and spontaneous fission (SF) is presented and the probable [Formula: see text]-decay chains are evaluated. Results are compared with Finite Range Droplet Model (FRDM) calculations and the available experimental data which show excellent agreement.

WEAKLY BOUND STRUCTURES, HALOS AND MAGICITY IN NEUTRON RICH NUCLEI

2008 ◽  
Vol 23 (27n30) ◽  
pp. 2589-2592 ◽  
Author(s):  
G. SAXENA ◽  
D. SINGH ◽  
H. L. YADAV ◽  
A. HAGA ◽  
H. TOKI
Keyword(s):  
Single Particle ◽  
Resonant State ◽  
Mean Field ◽  
Magic Number ◽  
Bound State ◽  
Positive Energy ◽  
Magic Numbers ◽  
Weakly Bound ◽  
Relativistic Mean Field ◽  
State Dependent

Inspired by recent measurements indicating proton magic number at Z =14 in the vicinity of 42 Si , we have employed our relativistic mean-field (RMF) plus state dependent BCS approach for the study of even-even nuclei to obtain magic numbers and to look for nuclei exhibiting weakly bound structures and even halo formation. In our RMF+BCS approach the single particle continuum corresponding to the RMF is replaced by a set of discrete positive energy states for the calculations of pairing energy. It is found that in several nuclei the filling in of low lying single particle resonant state with large angular momentum, even before it becomes a bound state, helps to accommodate more neutrons but with extremely small increase in the binding energy. This gives rise to the occurrence of weakly bound system of neutron rich nuclei.

scholarly journals Isotopic shift in magic nuclei within relativistic mean-field formalism

2021 ◽  
Author(s):  
Jeet Amrit Pattnaik ◽  
M. Bhuyan ◽  
R N Panda ◽  
S K Patra
Keyword(s):  
Mean Field ◽  
Magic Number ◽  
Electronic Configuration ◽  
Neutron Number ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Magic Numbers ◽  
Isotopic Chain ◽  
Relativistic Mean Field ◽  
Higher Spin

Abstract The ground-state properties such as binding energy, root-mean-square radius, pairing energy, nucleons density distribution, symmetry energy, and single-particle energies are calculated for the isotopic chain of Ca, Sn, Pb, and Z = 120 nuclei. The recently developed G3 and IOPB-I forces along with the DD-ME1 and DD-ME2 sets are used in the analysis employing the relativistic mean-field approximation. To locate the magic numbers in the superheavy region and to explain the observed kink at neutron number N=82 for Sn isotopes, a three-point formula is used to see the shift of the observable and other nuclear properties in the isotopic chain. Unlike the electronic configuration, due to strong spin-orbit interaction, the higher spin orbitals are occupied earlier than the lower spin, causing the possible kink at the neutron magic numbers. We find peaks at the known neutron magic number with the confirmation of sub-shell, shell closure respectively at N=40, 184 for Ca and 304120.

THE INNER CRUST OF NEUTRON STARS IN RELATIVISTIC MEAN FIELD APPROACH

2008 ◽  
Vol 17 (09) ◽  
pp. 1765-1773 ◽  
Author(s):  
JIGUANG CAO ◽  
ZHONGYU MA ◽  
NGUYEN VAN GIAI
Keyword(s):  
Boundary Conditions ◽  
Neutron Stars ◽  
Mean Field ◽  
Bcs Theory ◽  
Neutron Density ◽  
Field Approach ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Density Distributions ◽  
Rmf Model

The microscopic properties and superfluidity of the inner crust in neutron stars are investigated in the framework of the relativistic mean field(RMF) model and BCS theory. The Wigner-Seitz(W-S) cell of inner crust is composed of neutron-rich nuclei immersed in a sea of dilute, homogeneous neutron gas. The pairing properties of nucleons in the W-S cells are treated in BCS theory with Gogny interaction. In this work, we emphasize on the choice of the boundary conditions in the RMF approach and superfluidity of the inner crust. Three kinds of boundary conditions are suggested. The properties of the W-S cells with the three kinds of boundary conditions are investigated. The neutron density distributions in the RMF and Hartree-Fock-Bogoliubov(HFB) models are compared.

Implications of occupancy of 2s1/2 state in sd-shell within RMF+BCS approach

2017 ◽  
Vol 26 (11) ◽  
pp. 1750072 ◽  
Author(s):  
G. Saxena ◽  
M. Kumawat ◽  
M. Kaushik ◽  
U. K. Singh ◽  
S. K. Jain ◽  
...  
Keyword(s):  
Mean Field ◽  
The Other ◽  
Magic Numbers ◽  
Neutron Density ◽  
Shell Closure ◽  
Weakly Bound ◽  
Density Profiles ◽  
Relativistic Mean Field ◽  
Structure Formula ◽  
Bubble Structure

We employ the relativistic mean-field plus BCS (RMF+BCS) approach to study the behavior of [Formula: see text]-shell by investigating in detail the single particle energies, and proton and neutron density profiles along with the deformations and radii of even–even nuclei. Emergence of new shell closure, weakly bound structure and most recent phenomenon of bubble structure are reported in the [Formula: see text]-shell. [Formula: see text]C, [Formula: see text]O and [Formula: see text]S are found to have a weakly bound structure due to particle occupancy in 2[Formula: see text] state. On the other hand [Formula: see text]O, [Formula: see text]Ca and [Formula: see text]Si are found with depleted central density due to the unoccupied 2[Formula: see text] state and hence they are the potential candidates of bubble structure. [Formula: see text]C and [Formula: see text]O emerge as doubly magic with [Formula: see text] in accord with the recent experiments and [Formula: see text]S emerges as a new proton magic nucleus with [Formula: see text]. [Formula: see text] and [Formula: see text] are predicted as magic numbers in doubly magic [Formula: see text]O, [Formula: see text]Ca and [Formula: see text]Si, respectively. These results are found in agreement with the recent experiments and have consistent with the other parameters of RMF and other theories.

scholarly journals TEMPERATURE DEPENDENCE OF THE NUCLEAR ENERGY IN RELATIVISTIC MEAN-FIELD THEORY

2005 ◽  
Vol 14 (03) ◽  
pp. 505-511 ◽  
Author(s):  
B. NERLO-POMORSKA ◽  
K. POMORSKI ◽  
J. SYKUT ◽  
J. BARTEL
Keyword(s):  
Single Particle ◽  
Level Density ◽  
Mean Field Theory ◽  
Mean Field ◽  
Correction Method ◽  
Shell Correction ◽  
Shell Effects ◽  
Relativistic Mean Field ◽  
Single Particle Level ◽  
Particle Level

Self-consistent relativistic mean-field (RMF) calculations with the NL3 parameter set were performed for 171 spherical even-even nuclei with 16≤A≤224 at temperatures in the range 0≤T≤4 MeV . For this sample of nuclei single-particle level densities are determined by analyzing the data obtained for various temperatures. A new shell-correction method is used to evaluate shell effects at all temperatures. The single-particle level density is expressed as function of mass number A and relative isospin I and compared with previous estimates.

scholarly journals RELATIVISTIC MEAN FIELD STUDY OF ISLANDS OF INVERSION IN NEUTRON-RICH Z = 17–23, 37–40 AND 60–64 NUCLEI

2013 ◽  
Vol 22 (04) ◽  
pp. 1350018 ◽  
Author(s):  
S. K. SINGH ◽  
S. MAHAPATRO ◽  
R. N. MISHRA
Keyword(s):  
Binding Energy ◽  
Periodic Table ◽  
Mean Field ◽  
Quadrupole Deformation ◽  
Neutron Separation Energy ◽  
Mean Square ◽  
Separation Energy ◽  
Relativistic Mean Field ◽  
Field Formalism ◽  
Analysis Of Binding Energy

We study the extremely neutron-rich nuclei for Z = 17–23, 37–40 and 60–64 regions of the periodic table by using axially deformed relativistic mean field formalism with NL3* parametrization. Based on the analysis of binding energy, two neutron separation energy, quadrupole deformation and root mean square radii, we emphasized the speciality of these considered regions which are recently predicted islands of inversion.

Nuclear structure and decay properties of Nd isotopes

2018 ◽  
Vol 27 (07) ◽  
pp. 1850059
Author(s):  
M. Ouhachi ◽  
M. R. Oudih ◽  
M. Fellah ◽  
N. H. Allal
Keyword(s):  
Mean Field Theory ◽  
Mean Field ◽  
Drip Line ◽  
Binding Energies ◽  
Neutron Drip Line ◽  
Nd Isotopes ◽  
Decay Modes ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Decay Properties

Using the Hartree–Fock–Bogoliubov mean-field theory, the ground-state structural and decay properties of Nd isotopes are investigated from the proton-rich side up to the neutron drip-line. Quantities such as binding energies per nucleon, one and two-neutron separation energies, rms charge radii, and quadrupole deformation parameters have been calculated. Compared with the relativistic mean-field results, the present calculations are in better agreement with the available experimental data. The results show clearly the signature of a shape transition at [Formula: see text] and an abrupt increase in the deformation near the neutron drip-line. Further, the possible decay modes like alpha, cluster and [Formula: see text]-decay are analyzed in a unified fission model and phenomenological formulas. Overall, a good agreement is achieved between the calculated and experimental [Formula: see text]-values and half-lives wherever available. The most likely decay modes are thus identified throughout the isotopic chain.

THE PROBLEM OF UNIVERSALITY OF NUCLEAR MEAN-FIELD PARAMETRIZATIONS

2005 ◽  
Vol 14 (03) ◽  
pp. 493-498 ◽  
Author(s):  
NOËL DUBRAY ◽  
JERZY DUDEK ◽  
NICOLAS SCHUNCK
Keyword(s):  
Mean Field ◽  
Exotic Nuclei ◽  
Phenomenological Description ◽  
Field Theories ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Self Consistent ◽  
Mean Field Theories

Most of the microscopic self-consistent approaches such as Hartree-Fock and/or Relativistic Mean Field theories use ensembles of a few adjustable parameters that are independent of the proton and neutron numbers and fixed once for all. This feature is referred to as the universality of the parametrization. It is further developed for the case of the phenomenological description of the nuclear deformed mean-field e.g. in the Woods-Saxon form and discussed in view of obtaining the parametrizations that are most stable with respect to extrapolations for the unknown nuclear ranges as e.g. in the case of various groups exotic nuclei. A new universal parametrization is obtained and an illustration presented.

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