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.

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.

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).

Decay properties and reaction dynamics of zirconium isotopes in the relativistic mean-field model

2018 ◽  
Vol 27 (02) ◽  
pp. 1850012
Author(s):  
M. Panigrahi ◽  
R. N. Panda ◽  
Bharat Kumar ◽  
S. K. Patra
Keyword(s):  
Cross Sections ◽  
Mean Field Theory ◽  
Energy Charge ◽  
Mean Field ◽  
Drip Line ◽  
Glauber Model ◽  
Mean Field Model ◽  
Relativistic Mean Field ◽  
Decay Properties ◽  
Quadrupole Deformation Parameter

In the framework of relativistic mean-field theory, the ground state properties like binding energy, charge radius and quadrupole deformation parameter for various isotopes of zirconium from the valley of stability to drip-line region have been studied. The results are compared with the experimental data and we found reasonable agreement. The calculations are carried out for [Formula: see text]-decay energy and [Formula: see text]-decay half-life up to the drip-line. Total reaction and elastic differential cross-sections are also studied for few zirconium isotopes as projectiles with [Formula: see text] as target, using different parameter sets namely NL3*, DD-ME2 and DD-PC1 in conjunction with Glauber model.

scholarly journals Divergence in the Relativistic Mean Field Formalism: A Case Study of the Ground State Properties of the Decay Chain of 214,216,218U Isotopes

Foundations ◽  
2022 ◽  
Vol 2 (1) ◽  
pp. 85-104
Author(s):  
Tolulope Majekodunmi Joshua ◽  
Nishu Jain ◽  
Raj Kumar ◽  
Khairul Anwar ◽  
Nooraihan Abdullah ◽  
...  
Keyword(s):  
Ground State ◽  
Mean Field ◽  
Magic Number ◽  
Decay Chain ◽  
Binding Energies ◽  
Cluster Decay ◽  
Shell Effect ◽  
Particle Clustering ◽  
Relativistic Mean Field ◽  
Ground State Properties

A new α-emitting has been observed experimentally for neutron deficient 214U which opens the window to theoretically investigate the ground state properties of 214,216,218U isotopes and to examine α-particle clustering around the shell closure. The decay half-lives are calculated within the preformed cluster-decay model (PCM). To obtain the α-daughter interaction potential, the RMF densities are folded with the newly developed R3Y and the well-known M3Y NN potentials for comparison. The alpha preformation probability (Pα) is calculated from the analytic formula of Deng and Zhang. The WKB approximation is employed for the calculation of the transmission probability. The individual binding energies (BE) for the participating nuclei are estimated from the relativistic mean-field (RMF) formalism and those from the finite range droplet model (FRDM) as well as WS3 mass tables. In addition to Z=84, the so-called abnormal enhancement region, i.e., 84≤Z≤90 and N<126, is normalised by an appropriately fitted neck-parameter ΔR. On the other hand, the discrepancy sets in due to the shell effect at (and around) the proton magic number Z=82 and 84, and thus a higher scaling factor ranging from 10−5–10−8 is required. Additionally, in contrast with the experimental binding energy data, large deviations of about 5–10 MeV are evident in the RMF formalism despite the use of different parameter sets. An accurate prediction of α-decay half-lives requires a Q-value that is in proximity with the experimental data. In addition, other microscopic frameworks besides RMF could be more reliable for the mass region under study. α-particle clustering is largely influenced by the shell effect.

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.

TEST OF NL-RA1 RELATIVISTIC EFFECTIVE INTERACTION FOR THE STRUCTURE OF DEFORMED AND SUPERHEAVY NUCLEI

2012 ◽  
Vol 21 (06) ◽  
pp. 1250055 ◽  
Author(s):  
M. RASHDAN
Keyword(s):  
Effective Interaction ◽  
Mean Field Theory ◽  
Mean Field ◽  
Superheavy Element ◽  
Decay Chain ◽  
Alpha Decay ◽  
Binding Energies ◽  
Superheavy Nuclei ◽  
Relativistic Mean Field ◽  
Relative Errors

The NL-RA1 effective interaction of the relativistic mean field theory is employed to study the structure of deformed and superheavy nuclei, using an axially deformed harmonic oscillator basis. It is found that a fair agreement with the experimental data is obtained for the binding energies (BE), deformation parameters and charge radii. Comparison with NL-Z2, NLSH and NL3 interactions show that NL-Z2 gives good binding but larger radii, while NL-SH gives good radii but larger binding. The NL-RA1 interaction is also tested for the new deformed superheavy element with Z≥98. Excellent agreement with the experimental binding is obtained, where the relative error in BEs of Cf, Fm, No, Rf, Sg and Ea (Z = 110) isotopes are found to be of the order ~0.1%. The NL3 predicted larger binding and larger relative errors ~0.2–0.5%. Furthermore, the experimental Q-values of the alpha-decay of the superheavy elements 270110, 288114 and 292116 are satisfactory reproduced by NL-RA1 interaction, where the agreement is much better than that predicted by the phenomenological mass FRDM model. Furthermore, the alpha-decay chain of element 294118 are also better reproduced by NL-RA1 interaction.

scholarly journals THE α-DECAY CHAINS OF THE 287, 288115 ISOTOPES USING RELATIVISTIC MEAN FIELD THEORY

2011 ◽  
Vol 20 (10) ◽  
pp. 2217-2228 ◽  
Author(s):  
B. K. SAHU ◽  
M. BHUYAN ◽  
S. MAHAPATRO ◽  
S. K. PATRA
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field ◽  
Superheavy Element ◽  
Binding Energies ◽  
Experimental Result ◽  
Relativistic Mean Field Theory ◽  
Α Decay ◽  
Relativistic Mean Field ◽  
Quadrupole Deformation Parameter

We study the binding energy, root-mean-square radius and quadrupole deformation parameter for the synthesized superheavy element Z = 115, within the formalism of relativistic mean field theory. The calculation is dones for various isotopes of Z = 115 element, starting from A = 272 to A = 292. A systematic comparison between the binding energies and experimental data is made.The calculated binding energies are in good agreement with experimental result. The results show the prolate deformation for the ground state of these nuclei. The most stable isotope is found to be 282115 nucleus (N = 167) in the isotopic chain. We have also studied Qα and Tα for the α-decay chains of 287, 288115.

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