scholarly journals Persistence of magicity in neutron-rich exotic 78Ni in ground as well as excited states

2018 ◽  
Vol 27 (07) ◽  
pp. 1850062 ◽  
Author(s):  
Mamta Aggarwal ◽  
G. Saxena
Keyword(s):  
Excited States ◽  
Ground State ◽  
Theoretical Calculations ◽  
Level Density ◽  
Exotic Nucleus ◽  
Mean Field ◽  
Form Factors ◽  
State Density ◽  
Density Parameter ◽  
Relativistic Mean Field

Recent experimental observation of magicity in [Formula: see text]Ni has infused the interest to examine the persistence of the magic character across the [Formula: see text] shell gap in extremely neutron-rich exotic nucleus [Formula: see text]Ni in ground as well as excited states. A systematic study of Ni isotopes and [Formula: see text] isotones in ground state is performed within the microscopic framework of relativistic mean-field (RMF) theory and the triaxially deformed Nilsson–Strutinsky model (NSM). Ground state density distributions, charge form factors, radii, separation energies, pairing energies, single-particle energies and the shell corrections show strong magicity in [Formula: see text]Ni. Excited nuclei are treated within the statistical theory of hot rotating nuclei where the variations of level density parameter and entropy show significant magicity with a deep minima at [Formula: see text], which persists up to the temperatures [Formula: see text]1.5–2[Formula: see text]MeV and then slowly disappears with increasing temperature. Rotational states are evaluated and effect of rotation on [Formula: see text] ([Formula: see text]) isotones are studied. Our results agree very well with the available experimental data and few other theoretical calculations.

NUCLEAR LEVEL DENSITY PARAMETER WITH YUKAWA FOLDED POTENTIAL

2007 ◽  
Vol 16 (02) ◽  
pp. 566-569 ◽  
Author(s):  
KRZYSZTOF POMORSKI ◽  
BOŻENA NERLO-POMORSKA ◽  
JOHANN BARTEL
Keyword(s):  
Level Density ◽  
Mean Field Theory ◽  
Mean Field ◽  
Field Potential ◽  
Density Parameter ◽  
Nuclear Level Density ◽  
Level Density Parameter ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Particle Level

The average dependence of the single-particle level-density parameter on mass number A, isospin and deformation is determined using the Yukawa folded mean-field potential for spherical and deformed nuclei at temperatures 0 ≤ T ≤ 5 MeV and elongations ranging from oblate shapes to the scission configuration of fissioning nuclei. The results are compared with similar estimates obtained previously using the relativistic mean-field theory, the Skyrme Hartree-Fock and the Thomas-Fermi approach.

scholarly journals Covariant density functional NL3, ten years after

2020 ◽  
Vol 16 ◽  
pp. 253
Author(s):  
S. Karatzikos ◽  
G. A. Lalazissis ◽  
R. Fossion ◽  
D. Peña-Arteaga ◽  
P. Ring
Keyword(s):  
Excited States ◽  
Ground State ◽  
Density Functional ◽  
Mean Field ◽  
Deformed Nuclei ◽  
Relativistic Mean Field ◽  
Effective Force ◽  
Ground State Properties ◽  
Excellent Description ◽  
Covariant Density

We propose a modification of the effective force NL3, which presents the very succesful parameterization for the Lagrangian of the Relativistic Mean Field (RMF) theory. The new effective force with the name NL3* has phenomenological para- meters. It improves the ground state properties of many nuclei and simultaneously provides an excellent description of excited states with collective character in sphe- rical and axially deformed nuclei.

PROPERTIES OF THE SUPERHEAVY NUCLEUS 294118 AND ITS α-DECAY CHAIN IN THE RELATIVISTIC MEAN FIELD THEORY

2008 ◽  
Vol 17 (07) ◽  
pp. 1309-1317
Author(s):  
FANG ZHOU ◽  
JIAN-YOU GUO
Keyword(s):  
Experimental Data ◽  
Ground State ◽  
Theoretical Calculations ◽  
Superheavy Nucleus ◽  
Mean Field ◽  
Decay Chain ◽  
Binding Energies ◽  
Superheavy Nuclei ◽  
Α Decay ◽  
Relativistic Mean Field

The superheavy nucleus 294118 and its α-decay chain have been investigated systematically in the relativistic mean-field (RMF) theory with the interactions NL3, TMA, PK1 and NLZ. The properties of ground state have been described well with the binding energies per nucleon and α-decay energies, which are reproduced as compared with the experimental data. It shows that the RMF theory is effective for studying not only the stable nuclei but also the superheavy nuclei presented here. In particular, the prolate shape predicted in the ground state of these superheavy nuclei is in agreement with the experimental data as well as other theoretical calculations.

TABLE OF GROUND STATE PROPERTIES OF NUCLEI IN THE RMF MODEL

2013 ◽  
Vol 28 (16) ◽  
pp. 1350068 ◽  
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.

Ground State Properties of Z = 114 Isotopes in the Relativistic Mean-Field Theory

1997 ◽  
Vol 14 (4) ◽  
pp. 259-262 ◽  
Author(s):  
Ren Zhong-zhou ◽  
Zhu Zhi-yuan ◽  
Cai Yan-huang ◽  
Shen Yao-song ◽  
Zhan Wen-long ◽  
...  
Keyword(s):  
Field Theory ◽  
Ground State ◽  
Mean Field Theory ◽  
Mean Field ◽  
Relativistic Mean Field Theory ◽  
Relativistic Mean Field ◽  
Ground State Properties

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.

TWO-OSCILLATOR BASIS EXPANSION FOR THE SOLUTION OF RELATIVISTIC MEAN FIELD EQUATIONS

2000 ◽  
Vol 09 (06) ◽  
pp. 507-520
Author(s):  
S. V. S. SASTRY ◽  
ARUN K. JAIN ◽  
Y. K. GAMBHIR
Keyword(s):  
Ground State ◽  
Mean Field ◽  
Surface Region ◽  
Binding Energies ◽  
Basis Functions ◽  
Field Equations ◽  
Basis Expansion ◽  
Relativistic Mean Field ◽  
Mean Field Equations ◽  
Spherical Nuclei

In the relativistic mean field (RMF) calculations usually the basis expansion method is employed. For this one uses single harmonic oscillator (HO) basis functions. A proper description of the ground state nuclear properties of spherical nuclei requires a large (around 20) number of major oscillator shells in the expansion. In halo nuclei where the nucleons have extended spatial distributions, the use of single HO basis for the expansion is inadequate for the correct description of the nuclear properties, especially that of the surface region. In order to rectify these inadequacies, in the present work an orthonormal basis composed of two HO basis functions having different sizes is proposed. It has been shown that for a typical case of (A=11) the ground state constructed using two-HO wave functions extends much beyond the second state or even third excited state of the single HO wave function. To demonstrate its usefulness explicit numerical RMF calculations have been carried out using this procedure for a set of representative spherical nuclei ranging from 16 O to 208 Pb . The binding energies, charge radii and density distributions have been correctly reproduced in the present scheme using a much smaller number of major shells (around 10) in the expansion.

GROUND STATE PROPERTIES OF EXTREME NEUTRON RICH ISOTOPES OBSERVED: A RELATIVISTIC MEAN FIELD APPROACH

2011 ◽  
Vol 20 (11) ◽  
pp. 2293-2303 ◽  
Author(s):  
PROVASH MALI
Keyword(s):  
Ground State ◽  
Mean Field ◽  
Mass Region ◽  
Binding Energies ◽  
Droplet Model ◽  
Shell Effects ◽  
Relativistic Mean Field ◽  
Ground State Properties ◽  
Neutron Rich Isotopes ◽  
Good Agreement

The ground state properties namely the binding energy, the root mean square (rms) radius (neutron, proton and charge) and the deformation parameter of 45 newly identified neutron-rich isotopes in the A~71–152 mass region have been predicted in the relativistic mean filed (RMF) framework along with the Bardeen–Cooper–Schrieffer (BCS) type of pairing. Validity of the RMF results with the NL3 effective force are tested for odd-A Zn and Rh isotopic chains without taking the time reversal symmetry breaking effects into consideration. The RMF prediction on the binding energies are in good agreement with the empirical/finite-range droplet model calculation. The shell effects on the rms radii of odd-A Zn and Rh isotopes are nicely reproduced. The possibility of shape-coexistence in the newly identified nuclei is discussed.

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