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 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.

scholarly journals STUDY OF NEUTRON MAGIC DRIP-LINE NUCLEI WITHIN RELATIVISTIC MEAN-FIELD PLUS BCS APPROACH

2013 ◽  
Vol 22 (05) ◽  
pp. 1350025 ◽  
Author(s):  
G. SAXENA ◽  
D. SINGH
Keyword(s):  
Ground State ◽  
Mean Field ◽  
Neutron Number ◽  
Drip Line ◽  
Proton Drip Line ◽  
General Validity ◽  
Relativistic Mean Field ◽  
Ground State Properties ◽  
Resonant States ◽  
Pairing Correlations

Encouraged by the success of relativistic mean-field plus BCS (RMF + BCS) approach for the description of the ground state properties of the chains of isotopes of proton magic nuclei with proton number Z = 8, 20, 28, 50 and 82 as well as those of proton sub-magic nuclei with Z = 40, we have further employed it, in an analogous manner, for a detailed calculations of the ground state properties of the neutron magic isotones with neutron number N = 8, 20, 28, 50, 82 and 126 as well as those of neutron sub-magic isotones with N = 40 using the TMA force parametrizations in order to explore low lying resonance and other exotic phenomenon near drip-lines. The results of these calculations for wave function, single particle pairing gaps etc. are presented here to demonstrate the general validity of our RMF + BCS approach. It is found that, in some of the proton-rich nuclei in the vicinity of the proton drip-line, the main contribution to the pairing correlations is provided by the low-lying resonant states, in addition to the contributions coming from the states close to the Fermi surface, which results extended proton drip-line for isotonic chain.

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.

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.

NEW CALCULATION FOR SOME GROUND STATE FEATURES OF 40Ca, 48Ca32S AND 39K NUCLEI

2010 ◽  
Vol 19 (02) ◽  
pp. 291-298 ◽  
Author(s):  
H. AYTEKIN ◽  
R. BALDIK ◽  
E. TEL ◽  
A. AYDIN
Keyword(s):  
Ground State ◽  
Nuclear Charge ◽  
Mean Field ◽  
Binding Energies ◽  
Charge Radii ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Density Distributions ◽  
Total Binding ◽  
Experimental Values

Some ground states features of 32 S , 39 K , 40 Ca and 48 Ca nuclei are investigated using the Hartree–Fock method with the Skyrme SKM * and SLy4 forces calculated in two different code implementations. The calculated total binding energies per particle and root mean square (rms) nuclear charge radii using the Skyrme–Hartree–Fock (SHF) + BCS method are compared with relativistic mean-field (RMF) theory and experimental values. The obtained charge density distributions from these code implementations are compared with the experimental data. Pairing effects are also included in calculations for the same nuclei. Variations of the total binding energies per particle and rms nuclear charge radii were investigated as the last shell nucleons were carried to the upper shell.

scholarly journals Structure of S=−2 Hypernuclei and Hyperon–Hyperon Interactions

2018 ◽  
Vol 68 (1) ◽  
pp. 131-159 ◽  
Author(s):  
Emiko Hiyama ◽  
Kazuma Nakazawa
Keyword(s):  
Ground State ◽  
Cluster Model ◽  
Recent Progress ◽  
Energy Levels ◽  
Mean Field ◽  
Energy Spectra ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Hida Event ◽  
Extract Information

We review recent progress in S=−2 hypernuclei such as double-Λ hypernuclei and Ξ hypernuclei, which are composed of a nucleus and one or two hyperons, such as a Λ or a Ξ particle. Through observations of [Formula: see text]He, such as the Nagara event, we obtain important information about the ΛΛ interaction. Using this information, we perform a four-body calculation of ααΛΛ for [Formula: see text]Be, which was observed at KEK as the Demachi–Yanagi event. We interpret this event as the [Formula: see text] excited state. We calculate energy levels of [Formula: see text]Be within the framework of an αα nΛΛ five-body cluster model, and then interpret the Hida event, which was observed at KEK as the ground state of [Formula: see text]Be. Motivated by observation of the Kiso event of [Formula: see text]C, by using the Skyrme–Hartree–Fock and relativistic mean-field frameworks, we calculate the energy spectra of this hypernucleus. We interpret this event as the 14N(g.s.)+Ξ−(0 p) state. Finally, we propose an experiment on [Formula: see text]H and [Formula: see text]Li to extract information about the spin- and isospin-averaged parts of the Ξ N interaction.

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.

Skyrme–Hartree–Fock–Bogoliubov Calculations of Even and Odd Neutron-Rich Mg Isotopes

2021 ◽  
Vol 66 (11) ◽  
pp. 928
Author(s):  
A.H. Taqi ◽  
M.A. Hasan
Keyword(s):  
Experimental Data ◽  
Mean Field ◽  
Field Method ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Nuclear Models ◽  
Quadrupole Deformation Parameter ◽  
Mg Isotopes ◽  
The One ◽  
Rmf Model

Using the Skyrme functional with SIII, SKM*, SLy4, and UNE0 sets of parameters and the Hartree–Fock–Bogoliubov mean-field method; the ground-state properties of even-even and even-odd neutron-rich Mg isotopes have been investigated. The results of calculations of the binding energy per nucleon (B/A), the one- and two-neutron separation energies (Sn and S2n), proton and neutron rms radii, neutron pairing gap, and quadrupole deformation parameter (B2) have been compared with the available experimental data, the results of Hartree–Fock–Bogoliubov calculations based on the D1S Gogny force, and predictions of some nuclear models such as the Finite Range Droplet Model (FRDM) and Relativistic Mean-Field (RMF) model. Our results show good agreements in comparison with the experimental data and the results of the mentioned models.

scholarly journals SKYRME–HARTREE–FOCK DESCRIPTION OF THE DIPOLE STRENGTH IN NEUTRON-RICH TIN ISOTOPES

2011 ◽  
Vol 20 (02) ◽  
pp. 281-291 ◽  
Author(s):  
J. KVASIL ◽  
V.O. NESTERENKO ◽  
W. KLEINIG ◽  
D. BOŽÍK ◽  
P.-G. REINHARD
Keyword(s):  
Random Phase ◽  
Mean Field ◽  
Open Shell ◽  
Neutron Number ◽  
Dipole Strength ◽  
Mean Field Model ◽  
Mutual Compensation ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Double Folding

Low-energy E1 strength in neutron-rich 132-164 Sn isotopes is analyzed in the framework of the Skyrme random phase approximation (RPA) with different Skyrme forces. A double folding procedure is applied to take into account the energy-dependent width effects beyond RPA. All the considered Skyrme forces indicate a soft prolate deformation in the open shell isotopes 142-164 Sn . The integrated E1 strength in the energy region of the pygmy resonance grows with the neutron number. The influence of deformation on the integrated strength near the particle emission thresholds (which is of a keen astrophysical interest) is strictly suppressed by the mutual compensation effect for the branches of the giant dipole resonance. The results obtained are in a good agreement with the previous findings of the relativistic mean field model.

scholarly journals Ground state properties of even–even and odd Nd, Ce and Sm isotopes in Hartree–Fock–Bogoliubov method

2015 ◽  
Vol 24 (10) ◽  
pp. 1550073 ◽  
Author(s):  
Y. El Bassem ◽  
M. Oulne
Keyword(s):  
Ground State ◽  
Mean Field ◽  
Nucleon Nucleon ◽  
Binding Energies ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Pairing Strength ◽  
Ground State Properties ◽  
Nucleon Nucleon Interaction ◽  
Strength Formula

In this work, we have studied the ground state properties of both even–even and odd Nd isotopes within Hartree–Fock–Bogoliubov method with SLy5 Skyrme force in which the pairing strength has been generalized with a new proposed formula. We calculated binding energies, two-neutron separation energies, quadrupole deformation, charge, neutron and proton radii. Similar calculations have been carried out for Ce and Sm in order to verify the validity of our pairing strength formula. The results have been compared with available experimental data, the results of Hartree–Fock–Bogoliubov calculations based on the D1S Gogny effective nucleon–nucleon interaction and predictions of some nuclear models such as finite range droplet model (FRDM) and relativistic mean field (RMF) theory.

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