The structural and decay properties of Francium isotopes

2015 ◽  
Vol 24 (04) ◽  
pp. 1550028 ◽  
Author(s):  
M. Bhuyan ◽  
S. Mahapatro ◽  
S. K. Singh ◽  
S. K. Patra
Keyword(s):  
Experimental Data ◽  
Half Life ◽  
Mean Field ◽  
Quadrupole Deformation ◽  
Isotopic Chain ◽  
Droplet Model ◽  
Bulk Properties ◽  
Α Decay ◽  
Relativistic Mean Field ◽  
Decay Properties

We study the bulk properties such as binding energy (BE), root-mean-square (RMS) charge radius, quadrupole deformation etc. for Francium (Fr) isotopes having mass number A = 180–240 within the framework of relativistic mean field (RMF) theory. Systematic comparisons are made between the calculated results from RMF theory, Finite Range Droplet Model (FRDM) and the experimental data. Most of the nuclei in the isotopic chain shows prolate configuration in their ground state. The α-decay properties like α-decay energy and the decay half-life are also estimated for three different chains of 198 Fr , 199 Fr and 200 Fr . The calculation for the decay half-life are carried out by taking two different empirical formulae and the results are compared with the experimental data.

Exploring the α-decay chain of 302122 within relativistic mean field formalism

2020 ◽  
Author(s):  
M. Panigrahi ◽  
R.N. Panda ◽  
M. Bhuyan ◽  
S.K. Patra
Keyword(s):  
Binding Energy ◽  
Chemical Potential ◽  
Energy Charge ◽  
Mean Field ◽  
Neutron Separation Energy ◽  
Isotopic Chain ◽  
Α Decay ◽  
Particle Spacing ◽  
Relativistic Mean Field ◽  
Field Formalism

The ground and first excited state structural properties like binding energy, charge radius, deformation parameter, pairing energy, and two-neutron separation energy for the isotopic chain of Z= 122 are analyzed. The axially deformed relativistic mean-field formalism with NL3* force parameter is used for the present analysis. Based on the analysis of binding energy per particle, chemical potential and single-particle spacing, we predict the isotopes of Z =122 with N = 180. 182 and 184 are the possible stable nuclei over the considered isotopic chain. The α-decay energies and the decay half-lives of <sup>302</sup>122 chains are investigated using four different empirical formulae. The results of our calculations are compared with the available experimental data and Finite Range Droplet Model predictions. We also established a correlation for the decay energy with the half-lives for the considered α-decay chains for various empirical formulae.

scholarly journals Structural and decay properties of nuclei appearing in the α-decay chains of 296,298,300,302,304120 within the relativistic mean field formalism

2021 ◽  
pp. 2150169
Author(s):  
N. Biswal ◽  
Nishu Jain ◽  
Raj Kumar ◽  
A. S. Pradeep ◽  
S. Mishra ◽  
...  
Keyword(s):  
Half Life ◽  
Mean Field ◽  
Magic Number ◽  
Decay Chain ◽  
Extensive Study ◽  
Relativistic Mean Field ◽  
Decay Properties ◽  
Theoretical Predictions ◽  
Quadrupole Deformation Parameter ◽  
Field Formalism

An extensive study of [Formula: see text]-decay half-lives for various decay chains of isotopes of [Formula: see text] is performed within the axially deformed relativistic mean-field (RMF) formalism by employing the NL3, NL3[Formula: see text], and DD-ME2 parameter set. The structural properties of the nuclei appearing in the decay chains are explored. The binding energy, quadrupole deformation parameter, root-mean-square charge radius, and pairing energy are calculated for the even–even isotopes of [Formula: see text], which are produced in five different [Formula: see text]-decay chains, namely, [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], and [Formula: see text]. A superdeformed prolate ground state is observed for the heavier nuclei, and gradually the deformation decreases towards the lighter nuclei in the considered decay chains. The RMF results are compared with various theoretical predictions and experimental data. The [Formula: see text]-decay energies are calculated for each decay chain. To determine the relative numerical dependency of the half-life for a specific [Formula: see text]-decay energy, the decay half-lives are calculated using four different formulas, namely, Viola–Seaborg, Alex–Brown, Parkhomenko–Sobiczewski and Royer for the above said five [Formula: see text]-decay chain. We notice a firm dependency of the half-life on the [Formula: see text]-decay formula in terms of [Formula: see text]-values for all decay chains. Further, this study also strengthens the prediction for the island of stability in terms of magic number at the superheavy valley in the laboratories.

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.

PROPERTIES OF Z = 120 NUCLEI AND THE α-DECAY CHAINS OF THE 292, 304120 ISOTOPES USING RELATIVISTIC AND NONRELATIVISTIC FORMALISMS

2012 ◽  
Vol 21 (11) ◽  
pp. 1250092 ◽  
Author(s):  
SHAKEB AHMAD ◽  
M. BHUYAN ◽  
S. K. PATRA
Keyword(s):  
Excited State ◽  
Ground State ◽  
Half Life ◽  
Mean Field ◽  
Neutron Number ◽  
Α Decay ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Quadrupole Deformation Parameter ◽  
Almost All

The ground state and first intrinsic excited state of superheavy nuclei with Z = 120 and N = 160–204 are investigated using both nonrelativistic Skyrme–Hartree–Fock (SHF) and the axially deformed relativistic mean field (RMF) formalisms. We employ a simple BCS pairing approach for calculating the energy contribution from pairing interaction. The results for isotopic chain of binding energy (BE), quadrupole deformation parameter, two neutron separation energies and some other observables are compared with the finite range droplet model (FRDM) and some recent macroscopic–microscopic calculations. We predict superdeformed ground state solutions for almost all the isotopes. Considering the possibility of magic neutron number, two different modes of α-decay chains 292120 and 304120 are also studied within these frameworks. The Qα-values and the half-life [Formula: see text] for these two different modes of decay chains are compared with FRDM and recent macroscopic–microscopic calculations. The calculation is extended for the α-decay chains of 292120 and 304120 from their excited state configuration to respective configuration, which predicts long half-life [Formula: see text] (in seconds).

scholarly journals Nuclear structure and decay properties of even–even nuclei in Z = 70−80 drip-line region

2016 ◽  
Vol 25 (09) ◽  
pp. 1650062 ◽  
Author(s):  
S. Mahapatro ◽  
C. Lahiri ◽  
Bharat Kumar ◽  
R. N. Mishra ◽  
S. K. Patra
Keyword(s):  
Nuclear Structure ◽  
Mean Field ◽  
Drip Line ◽  
Droplet Model ◽  
Relativistic Mean Field ◽  
Decay Properties ◽  
Line Region ◽  
Good Agreement ◽  
Neutron Shell Closure ◽  
Structure Properties

We study nuclear structure properties for various isotopes of Ytterbium (Yb), Hafnium(Hf), Tungsten(W), Osmium(Os), Platinum(Pt) and Mercury(Hg) in [Formula: see text] = 70–80 drip-line region starting from [Formula: see text] to [Formula: see text] within the formalism of relativistic mean field (RMF) theory. The pairing correlation is taken care by using BCS approach. We compared our results with finite range droplet model(FRDM) and experimental data and found that the calculated results are in good agreement. Neutron shell closure is obtained at [Formula: see text] and [Formula: see text] in this region. We have also studied probable decay mechanisms of these elements.

RELATIVISTIC MEAN FIELD THEORETICAL FOUNDATION OF THE DROPLET MODEL FOR NUCLEI

2002 ◽  
Vol 11 (01) ◽  
pp. 55-65 ◽  
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.

scholarly journals Charge radii of potassium isotopes in the RMF(BCS)* approach

2022 ◽  
Author(s):  
Rong An ◽  
Shisheng Zhang ◽  
Li-Sheng Geng ◽  
Feng-Shou 张丰收 Zhang
Keyword(s):  
Experimental Data ◽  
Density Functional Theory ◽  
Density Functional ◽  
Mean Field ◽  
Field Studies ◽  
Nuclear Density ◽  
Isotopic Chain ◽  
Functional Theory ◽  
Charge Radii ◽  
Nuclear Density Functional Theory

Abstract We apply the recently proposed RMF(BCS)* ansatz to study the charge radii of the potassium isotopic chain up to $^{52}$K. It is shown that the experimental data can be reproduced rather well, qualitatively similar to the Fayans nuclear density functional theory, but with a slightly better description of the odd-even staggerings (OES). Nonetheless, both methods fail for $^{50}$K and to a lesser extent for $^{48,52}$K. It is shown that if these nuclei are deformed with a $\beta_{20}\approx-0.2$, then one can obtain results consistent with experiments for both charge radii and spin-parities. We argue that beyond mean field studies are needed to properly describe the charge radii of these three nuclei, particularly for $^{50}$K.

Nuclear structure and α-decay study of Og isotopes

2019 ◽  
Vol 28 (06) ◽  
pp. 1950041 ◽  
Author(s):  
R. R. Swain ◽  
B. B. Sahu ◽  
P. K. Moharana ◽  
S. K. Patra
Keyword(s):  
Heavy Element ◽  
Mean Field ◽  
Parent Nucleus ◽  
Shell Closure ◽  
Force Parameter ◽  
Α Decay ◽  
Relativistic Mean Field ◽  
Energy Formula ◽  
Text Element ◽  
Rmf Model

We have examined the binding energy, root-mean-square radii and two neutrons separation energies for the recently accepted super-heavy element [Formula: see text] established as Og using the axially deformed relativistic mean field (RMF) model with NL3 force parameter set. The calculation is extended to various isotopes of [Formula: see text] element, starting from [Formula: see text] till [Formula: see text]. The most stable isotope is found to be at [Formula: see text]. Also, the [Formula: see text]-decay energy [Formula: see text] and hence the half-lives [Formula: see text] is carried out by taking three different empirical formulae for the [Formula: see text]-decay chains of [Formula: see text] supporting the possible shell closure at daughter nuclei [Formula: see text] and/ or 184 and at parent nucleus of [Formula: see text] with [Formula: see text].

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.

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