Correlation between alpha preformation probability, decay half-life and barrier assault frequency

2017 ◽  
Vol 26 (05) ◽  
pp. 1750026 ◽  
Author(s):  
M. Ismail ◽  
A. Y. Ellithi ◽  
A. El-Depsy ◽  
O. A. Mohamedien
Keyword(s):  
Barrier Height ◽  
Alpha Particle ◽  
Half Life ◽  
Alpha Decay ◽  
Strong Correlations ◽  
Alpha Emitters ◽  
Barrier Penetration ◽  
Penetration Probability ◽  
Good Agreement

Calculation of alpha particle preformation probabilities for some alpha emitters is considered in the framework of a recent proposed barrier penetration formula, by two different approximations. The behavior of alpha particle preformation probability with the variation of neutron and proton numbers of parent nuclei for isotopes, in the range [Formula: see text], and isotones, in the range [Formula: see text], is investigated. The same correlations are then studied for the alpha decay half-life, the barrier assault frequency, barrier height and barrier penetration probability. Strong correlations are found and in a good agreement with experimental expectations.

A systematic calculation of alpha decay half-lives using a new approach for barrier penetration probability

2016 ◽  
Vol 25 (09) ◽  
pp. 1650069 ◽  
Author(s):  
M. Ismail ◽  
A. Y. Ellithi ◽  
A. EL-Depsy ◽  
O. A. Mohamedien
Keyword(s):  
Experimental Data ◽  
Coulomb Barrier ◽  
Alpha Decay ◽  
New Approach ◽  
Systematic Calculation ◽  
Barrier Penetration ◽  
Spherical Nuclei ◽  
New Formula ◽  
Penetration Probability ◽  
Good Agreement

A systematic calculation of alpha decay half-lives of 347 nuclei is considered in the framework of the Wentzel–Kramers–Brillouin (WKB) approximation using two formulas. A recently proposed barrier penetration formula, with some modified parameters, is used first. Second, a new analytic barrier penetration formula is derived by taking into account the centrifugal potential. A good agreement with experimental data is achieved especially for spherical nuclei. The new formula reproduces experimental alpha decay half-lives with a satisfying accuracy especially for penetration energies much lower than the Coulomb barrier.

Theoretical studies on Alpha decay half-lives of Astatine isotopes

2020 ◽  
Vol 29 (02) ◽  
pp. 2050008 ◽  
Author(s):  
S. S. Hosseini ◽  
H. Hassanabadi ◽  
Dashty T. Akrawy ◽  
Ali H. Ahmed
Keyword(s):  
Half Life ◽  
Magic Number ◽  
Alpha Decay ◽  
Parent Nucleus ◽  
Hindrance Factor ◽  
Theoretical Formula ◽  
Proximity Potential ◽  
Alpha Emission ◽  
Closed Shells ◽  
Penetration Probability

The half-life of a parent nucleus of Astatine isotopes [Formula: see text] decaying via alpha emission is investigated by employing Coulomb and proximity potential model (CPPM) using the WKB barrier penetration probability and other different analytical and semiempirical formulae of Royer, AKRE, Akrawy, RoyerB, MRoyerB, MRenB, SemFIS, VS and SLB. In the calculation of Alpha decay (AD) half-life the available experimental and theoretical [Formula: see text]-values with the total alpha kinetic energy have been considered. The behavior of hindrance factor with the variation of mass numbers of parent nuclei for isotopes in the range [Formula: see text] and the effect of magic number at closed shells were investigated. Through the comparison of obtained results from the systematics with the experimental data, the prediction of SemFIS formula was the best among the studied ones where it shows the minimum standard deviation of 0.829881.

scholarly journals EFFECT OF NUCLEAR DEFORMATION ON THE ALPHA-DECAY HALF-LIFE OF EVEN-EVEN ALPHA EMITTERS

2000 ◽  
Vol 09 (03) ◽  
pp. 205-219 ◽  
Author(s):  
A. DIMARCO ◽  
S. B. DUARTE ◽  
O. A. P. TAVARES ◽  
M. GONÇALVES ◽  
F. GARCÍA ◽  
...  
Keyword(s):  
Coulomb Potential ◽  
Half Life ◽  
Free Parameter ◽  
Daughter Nucleus ◽  
Alpha Decay ◽  
Quantum Mechanical ◽  
Nuclear Deformation ◽  
Alpha Emitters ◽  
Nuclear Quadrupole ◽  
Multipolar Expansion

Alpha-decay half-life of even-even emitters has been calculated in terms of tunnelling through a quantum mechanical potential barrier. A multipolar expansion of Coulomb potential has been developed taking into account the nuclear quadrupole, hexadecapole, and hexacontatetrapole deformations. We show that using a free-parameter model the calculated half-lives do not vary significantly with higher order multipolarities of the daughter nucleus deformation.

A systematic study of alpha decay in actinide nuclei using modified generalized liquid drop model

2021 ◽  
pp. 2150013
Author(s):  
H. C. Manjunatha ◽  
G. R. Sridhar ◽  
N. Sowmya ◽  
P. S. Damodara Gupta ◽  
H. B. Ramalingam
Keyword(s):  
Experimental Data ◽  
Angular Momentum ◽  
Coulomb Interaction ◽  
Potential Barrier ◽  
Systematic Study ◽  
Liquid Drop ◽  
Alpha Decay ◽  
Liquid Drop Model ◽  
Barrier Penetration ◽  
Penetration Probability

The alpha decay half-lives of actinides within modified generalized liquid drop model (MGLDM) are investigated by the Wentzel–Kramers–Brillouin (WKB) barrier penetration probability. The potential barrier was studied taking in to account of nuclear proximity, coulomb interaction and centrifugal potential with the inclusion of angular momentum. This work predicts the alpha decay half-lives of unknown actinide nuclei such as [Formula: see text]Am, [Formula: see text]Cm, [Formula: see text]Bk, [Formula: see text]Es and [Formula: see text]No. The calculated alpha decay half-lives reproduce accurately the experimental data. The predictions provided for the alpha decay half-lives within the MGLDM may be helpful for identifying the new isotopes in this field.

ANALYTIC SOLUTION FOR THE POTENTIAL BARRIERS IN ALPHA-DECAY PROCESS FOR Po ISOTOPES

2013 ◽  
Vol 22 (11) ◽  
pp. 1350080 ◽  
Author(s):  
H. HASSANABADI ◽  
E. JAVADIMANESH ◽  
S. ZARRINKAMAR
Keyword(s):  
Ground State ◽  
Analytic Solution ◽  
Alpha Decay ◽  
Decay Process ◽  
Potential Barriers ◽  
New Formula ◽  
Penetration Probability ◽  
Good Agreement

We study the half-lives of some nuclei via the alpha-decay process in ground-state to ground-state ( g.s. → g.s. ) transitions. To go through the problem, we consider the parabola and WKB approximations to fin the penetration probability. This new formula is used to evaluate alpha-decay half-lives and a good agreement with the experiment is obtained.

scholarly journals Probable cluster decays from 270–318118 superheavy nuclei

2014 ◽  
Vol 23 (10) ◽  
pp. 1450059 ◽  
Author(s):  
K. P. Santhosh ◽  
B. Priyanka
Keyword(s):  
Half Life ◽  
Potential Model ◽  
Scaling Law ◽  
Alpha Decay ◽  
Neutron Number ◽  
Cluster Decay ◽  
Superheavy Nuclei ◽  
Proximity Potential ◽  
Universal Formula ◽  
Good Agreement

The cluster decay process in 270–318118 superheavy nuclei has been studied extensively within the Coulomb and proximity potential model (CPPM), thereby investigating the probable cluster decays from the various isotopes of Z = 118. On comparing the predicted decay half-lives with the values evaluated using the Universal formula for cluster decay (UNIV) of Poenaru et al., the Universal Decay Law (UDL) of Qi et al., and the Scaling Law of Horoi et al., it was seen that, our values matches well with these theoretical values. A comparison of the predicted alpha decay half-life of the experimentally synthesized superheavy isotope 294118 with its corresponding experimental value shows that, our theoretical value is in good agreement with the experimental value. The plots for log 10(T1/2) against the neutron number of the daughter in the corresponding decay reveals the behavior of the cluster half-lives with the neutron number of the daughter nuclei and for most of the decays, the half-life was found to be the minimum for the decay leading to a daughter with N = 184. Most of the predicted half-lives are well within the present experimental upper limit (1030 s) and lower limit (10-6 s) for measurements and hence these predictions may be of great use for further experimental investigation on cluster decay in the superheavy region.

AN ANALYSIS OF 178Pb TO 238U ISOTOPES WITH THE UNIVERSAL AND YUKAWA PROXIMITY POTENTIALS

2013 ◽  
Vol 22 (07) ◽  
pp. 1350051 ◽  
Author(s):  
E. JAVADIMANESH ◽  
H. HASSANABADI ◽  
S. ZARRINKAMAR
Keyword(s):  
Alpha Particle ◽  
Alpha Decay ◽  
Proximity Potential ◽  
Decay Constants ◽  
Experimental Values ◽  
Penetration Probability

The alpha particle preformation and the penetration probability by the Yukawa proximity potential in the even–even nuclei from 178 Pb to 238 U are studied. Using the experimental values of the alpha decay half-lives and the decay energies, we extract the preformation factors and the penetration probabilities. We also calculate the assault frequencies and the decay constants. The obtained results are motivating.

Alpha particle preformation factor of spherical nuclei for 67 ≤Z ≤91

2019 ◽  
Vol 34 (05) ◽  
pp. 1950039 ◽  
Author(s):  
S. S. Hosseini ◽  
H. Hassanabadi ◽  
Dashty T. Akrawy
Keyword(s):  
Alpha Particle ◽  
Scaling Law ◽  
Analytical Formula ◽  
Theoretical Models ◽  
Alpha Decay ◽  
Proximity Potential ◽  
Spherical Nuclei ◽  
Experimental Values ◽  
Semi Empirical ◽  
Good Agreement

In this paper, alpha decay half-lives of spherical nuclei in the range [Formula: see text] are studied by considering the Coulomb and proximity potential model (CPPM) and calculating the alpha particle preformation factor. Comparisons are made to existing data in the literature. The half-lives are compared to the experimental values and also with the existing theoretical models, the analytical formula of Royer (R) and also within the modified analytical formula of Royer (MR) and New Akrawy–Poenaru Formula (AKRE) by Akrawy and Poenaru and the semi-empirical model based on fission theory (SemFIS) of Poenaru et al., the Universal Decay Law (UDL) of Qi et al., the Scaling Law of Brown (SLB), the Scaling Law of Horoi et al. (SLH). Compared with the experimental alpha half-lives, it can be found that the half-lives obtained using our formalism is in good agreement with the experimental data.

Role of constant value of surface diffuseness in alpha decay half-lives of superheavy nuclei

2018 ◽  
Vol 33 (14) ◽  
pp. 1850080 ◽  
Author(s):  
V. Dehghani ◽  
S. A. Alavi ◽  
Kh. Benam
Keyword(s):  
Alpha Decay ◽  
Tunneling Probability ◽  
Nuclear Potential ◽  
Superheavy Nuclei ◽  
Wkb Method ◽  
Alpha Emitters ◽  
Surface Diffuseness ◽  
Diffuseness Parameter ◽  
Good Agreement

By using WKB method and considering deformed Woods–Saxon nuclear potential, deformed Coulomb potential, and centrifugal potential, the alpha decay half-lives of 68 superheavy alpha emitters have been calculated. The effect of the constant value of surface diffuseness parameter in the range of 0.1 [Formula: see text]a [Formula: see text] 0.9 (fm) on the potential barrier, tunneling probability, assault frequency, and alpha decay half-lives has been investigated. Significant differences were observed for alpha decay half-lives and decay quantities in this range of surface diffuseness. Good agreement between calculated half-lives with fitted surface diffuseness parameter a = 0.54 (fm) and experiment was observed.

scholarly journals THEORETICAL STUDY OF DECAY RATES OF NEWLY SYNTHESIZED SUPER HEAVY ELEMENT

2020 ◽  
Vol 9 (12) ◽  
Keyword(s):  
Alpha Decay ◽  
Theoretical Explanation ◽  
Decay Rates ◽  
Outer Side ◽  
Potential Well ◽  
Formation Factor ◽  
Well Model ◽  
Square Well ◽  
Penetration Probability ◽  
Good Agreement

We have studied half lives and penetration probability for even-even nuclei having atomic number 106 to 118.The frequency have been calculated using classical methods. The penetration probability was estimated by modifying the Gamow’s theory of alpha decay by varying the potential and it was found to be in a very good agreement with the experimental half-lives. The half-lives for alpha decay can be mainly determined by penetration probability. We have seen that in simple spherical symmetric potential there is a discontinuous jump of the potential which tends to be not physical because the force there becomes infinite. In this present work the square well model is modified by smoothing the potential well inside the nucleus to the top of the coulomb barrier at the outer side of the potential well which we will call as S-potential. The pre-formation factor was calculated from experimental alpha decay energies and half-lives. The theoretical explanation was experimentally proved by Geiger-Nuttall law. The S-potential (Smoothened) gives a better match with the experimental data.

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