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.

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 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 A NEW BARRIER PENETRATION FORMULA AND ITS APPLICATION TO α-DECAY HALF-LIVES

2010 ◽  
Vol 19 (03) ◽  
pp. 359-370 ◽  
Author(s):  
LU-LU LI ◽  
SHAN-GUI ZHOU ◽  
EN-GUANG ZHAO ◽  
WERNER SCHEID
Keyword(s):  
Long Range ◽  
Coulomb Interaction ◽  
Coulomb Barrier ◽  
Wkb Method ◽  
Α Decay ◽  
Potential Barriers ◽  
Atomic Nuclei ◽  
Barrier Penetration ◽  
New Formula ◽  
Good Agreement

Starting from the WKB approximation, a new barrier penetration formula is proposed for potential barriers containing a long-range Coulomb interaction. This formula is especially proper for the barrier penetration with penetration energy much lower than the Coulomb barrier. The penetrabilities calculated from the new formula agree well with the results from the WKB method. As a first attempt, this new formula is used to evaluate α-decay half-lives of atomic nuclei and a good agreement with the experiment is obtained.

ALPHA-DECAY STUDIES ON 130-153Eu NUCLEI

2013 ◽  
Vol 22 (11) ◽  
pp. 1350081 ◽  
Author(s):  
K. P. SANTHOSH ◽  
B. PRIYANKA
Keyword(s):  
Experimental Data ◽  
Potential Model ◽  
Alpha Decay ◽  
Shell Closure ◽  
Proximity Potential ◽  
Deformed Nuclei ◽  
Neutron Shell ◽  
Good Agreement ◽  
Neutron Shell Closure

The alpha-decay half-lives of the 24 isotopes of Eu (Z = 63) nuclei in the region 130≤A≤153, have been studied systematically within the Coulomb and proximity potential model (CPPM). We have modified the assault frequency and re-determined the half-lives and they show a better agreement with the experimental value. We have also done calculations on the half-lives within the recently proposed Coulomb and proximity potential model for deformed nuclei (CPPMDN). The computed half-lives are compared with the experimental data and they are in good agreement. Using our model, we could also demonstrate the influence of the neutron shell closure at N = 82, in both parent and daughter nuclei, on the alpha-decay half-lives.

The Formation of Molecules in Three Atom Collisions using the Eikonal Approximation

1976 ◽  
Vol 31 (12) ◽  
pp. 1489-1499
Author(s):  
E. Czuchaj
Keyword(s):  
Experimental Data ◽  
Numerical Calculation ◽  
Rate Constant ◽  
Recombination Rate ◽  
Eikonal Approximation ◽  
New Approach ◽  
Order Of Magnitude ◽  
Recombination Rate Constant ◽  
Good Agreement

Abstract A new approach to the calculation of a teratomic recombination rate constant k(T) has been dem-onstrated. An expression for k(T) has been obtained in the eikonal approximation. The numerical calculation has been carried out for the Rb*-Xe system. Good agreement in the order of magnitude between the present results and the experimental data of Carrington et al. has been obtained.

ALPHA DECAY OF SPHEROIDAL NUCLEI

1958 ◽  
Vol 36 (7) ◽  
pp. 944-962 ◽  
Author(s):  
E. M. Pennington ◽  
M. A. Preston
Keyword(s):  
Distribution Function ◽  
Probability Density ◽  
Symmetry Axis ◽  
Electronic Computer ◽  
Alpha Decay ◽  
Alpha Particles ◽  
Nuclear Surface ◽  
Barrier Penetration ◽  
Spherical Nuclei ◽  
Spheroidal Coordinates

A system of coupled differential equations relates the amplitudes of alpha particle waves emitted from a spheroidal nucleus described by the Bohr–Mottelson model. These equations in spheroidal coordinates have been solved for five even–even nuclides with the aid of the electronic computer FERUT. There are four possible cases for each nuclide which are consistent with the boundary conditions. The solutions of the equations are used to calculate the probability density of alpha particles on the nuclear surface for each case. For Case I the peak in the distribution function shifts from the nuclear symmetry axis to the equator with increasing mass number. The probability density for Case II is always peaked between the symmetry axis and the equator, while for Cases III and IV it is always peaked strongly at the equator. The change in the distribution function with increasing distance from the nucleus is considered for a typical case. Barrier penetration factors are calculated and found to differ from those for spherical nuclei by factors of the order of 2 or 3. Comparison with the calculations of an approximation method of Fröman is made for one nuclide.

Dynamics Analytical Model of Cutting Force in Metal Cutting Processing

2011 ◽  
Vol 308-310 ◽  
pp. 1211-1214
Author(s):  
Jian Ying Guo ◽  
Wen Bin Li ◽  
Shi Ying Wang ◽  
Ming Lv
Keyword(s):  
Experimental Data ◽  
Cutting Force ◽  
Analytical Model ◽  
Metal Cutting ◽  
Cutting Tool ◽  
Static Balance ◽  
Impact Effect ◽  
New Formula ◽  
Suggested Formula ◽  
Good Agreement

Cutting force is an important parameter in machining. The static balance method and experience formulas had been adopted to find its value, but the theoretical calculated value is not good agreement with the experimental value for the same set of cutting conditions. In practical machining, the cutting tool has obvious impact effect on workpiece, so a dynamics analytical model for cutting process is established in this paper. Based on the proposed solution, a new formula for cutting force has been obtained. The suggested formula has shown to correspond well with the experimental data.

Production cross-sections of superheavy elements using nearly double magic nuclei as projectile

2017 ◽  
Vol 26 (07) ◽  
pp. 1750050
Author(s):  
Ahmad Ansari ◽  
Nader Ghahramany
Keyword(s):  
Experimental Data ◽  
Cross Sections ◽  
Production Cross ◽  
Evaporation Residue ◽  
Fission Barrier ◽  
Superheavy Nuclei ◽  
New Approach ◽  
Barrier Heights ◽  
Compound Nucleus Formation ◽  
Good Agreement

In our new approach, evaporation residue cross-sections for new superheavy nuclei with atomic numbers [Formula: see text] are estimated by calculation of vital characteristics of superheavy nuclei synthesis such as the fission barrier height, the compound nucleus formation probability and the survival probability of the residue nuclei. Our presented estimation is in good agreement with available experimental data. In addition, this new approach allowed us to predict the evaporation residue cross-sections for superheavy nuclei with [Formula: see text] and 120 via introducing synthesis box and compare our results with other models. It is shown that the fission barrier heights of two nuclei with [Formula: see text] and 120 are comparable with their corresponding neutron separation energies. It is suggested that for the synthesis of new superheavy nuclei, it is proper to use nearly double magic nuclei such as [Formula: see text] as our projectile, so that the fission barrier heights remain high.

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.

Sign in / Sign up

Export Citation Format

Share Document