S-MATRIX-BASED UNIFIED CALCULATION OF Q-VALUES AND HALF-LIVES OF α-DECAY OF SUPER HEAVY ELEMENTS

2010 ◽  
Vol 19 (10) ◽  
pp. 2033-2043 ◽  
Author(s):  
P. PREMA ◽  
S. MAHADEVAN ◽  
C. S. SHASTRY ◽  
Y. K. GAMBHIR
Keyword(s):  
Daughter Nucleus ◽  
Good Description ◽  
Mean Field ◽  
Resonance State ◽  
Heavy Elements ◽  
Unified Approach ◽  
Α Decay ◽  
Relativistic Mean Field ◽  
S Matrix ◽  
Q Values

The Q-values and half-lives of several heavy α decaying systems are calculated using the relativistic mean field (RMF) theory-based microscopic α-daughter nucleus potential. A unified procedure is adopted, using analytic S-matrix method and treating α-decay as the decay of the resonance state of the α-daughter nucleus system. The resonance parameters are obtained from the pole positions of the S-matrix in the complex k-plane and using these Q-values and half widths are evaluated. The calculation reproduces the experimental results well. We find that the present unified approach gives a good description of the data and compare well with those obtained by empirical formulae.

STUDY OF ALPHA DECAY OF SUPER HEAVY ELEMENTS USING S-MATRIX AND WKB METHODS

2008 ◽  
Vol 17 (04) ◽  
pp. 611-629 ◽  
Author(s):  
P. PREMA ◽  
S. MAHADEVAN ◽  
C. S. SHASTRY ◽  
A. BHAGWAT ◽  
Y. K. GAMBHIR
Keyword(s):  
Mean Field ◽  
Alpha Decay ◽  
Difficult Problem ◽  
Heavy Elements ◽  
Heavy Nuclei ◽  
Folding Model ◽  
Relativistic Mean Field ◽  
Double Folding Model ◽  
S Matrix ◽  
Double Folding

A comparative study of the S-matrix and the WKB methods for the calculation of the half widths of alpha decay of super heavy elements is presented. The extent of the reliability of the WKB methods is demonstrated through simple illustrative examples. Detailed calculations have been carried out using the microscopic alpha-daughter potentials generated in the framework of the double-folding model using densities obtained in the relativistic mean field theories. We consider alpha-nucleus systems appearing in the decay chains of super heavy parent elements having A = 277, Z = 112 and A = 269, Z = 110. For negative and small positive log τ1/2 values the results from both methods are similar even though the S-matrix results should be considered to be more accurate. However, when log τ1/2 values are large and positive, the width associated with such state is infinitesimally small and hence calculation of such width by the S-matrix pole search method becomes a numerically difficult problem. We find that overall, the WKB method is reliable for the calculation of half lives of alpha decay from heavy nuclei.

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 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.

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 IMPORTANCE OF Q-VALUES IN ASTROPHYSICAL RAPID PROTON CAPTURE PROCESS

2013 ◽  
Vol 28 (17) ◽  
pp. 1350076 ◽  
Author(s):  
CHIRASHREE LAHIRI ◽  
G. GANGOPADHYAY
Keyword(s):  
Optical Model ◽  
Mean Field ◽  
Reaction Rates ◽  
Nucleon Nucleon ◽  
Proton Capture ◽  
Capture Process ◽  
Relativistic Mean Field ◽  
Rapid Proton ◽  
Nucleon Nucleon Interaction ◽  
Q Values

The importance of measuring Q-values in rapid proton capture process has been investigated. The microscopic optical model, derived using a nucleon–nucleon interaction and densities from relativistic mean field (RMF) calculations, has been utilized to calculate the reaction rates. It has been observed that the Q-values involved in the reactions at waiting points at A = 60 and 64 are very important in determining the final abundance of the process. Some other Q-values also play a crucial role in the final abundance of nuclei near the end point of the process.

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