A study of alpha-decay using effective liquid drop model

2021 ◽  
Author(s):  
G. R. Sridhara ◽  
H. C. Manjunatha ◽  
N. Sowmya ◽  
P. S. Damodara Gupta
Keyword(s):  
Atomic Number ◽  
Liquid Drop ◽  
Alpha Decay ◽  
Nucl Phys ◽  
Spin Effect ◽  
Liquid Drop Model ◽  
Number Range ◽  
Formation Probability ◽  
Semi Empirical

In this paper, we have made an attempt to analyze the alpha-decay half-lives of in the atomic number range [Formula: see text] by considering an effective liquid drop model. The role of pre-formation probability by including iso-spin effect is included during an evaluation of half-lives. We have also compared the studied alpha-decay half-lives with that of semi-empirical formulae such as Viola Seaborg semi-empirical formulae (VSS) [J. Inorg. Nucl. Chem. 28 (1966) 741; Nucl. Phys. A 848 (2010) 279], Royer formulae [J. Phys. G: Nucl. Part. Phys. 26 (2000) 1149; Phys. Rev. C 101 (2020) 034307] and also with that of the available experiments. From this comparison, it can be concluded that the effective liquid drop model produces an alpha-decay half-lives close to the experiments.

Semi-empirical formula for alpha and cluster decay half-lives of superheavy nuclei

2019 ◽  
Vol 35 (06) ◽  
pp. 2050016 ◽  
Author(s):  
H. C. Manjunatha ◽  
N. Sowmya ◽  
A. M. Nagaraja
Keyword(s):  
Atomic Number ◽  
Empirical Formula ◽  
Alpha Decay ◽  
Cluster Decay ◽  
Superheavy Nuclei ◽  
Number Range ◽  
Semi Empirical

We have formulated a semi-empirical formula for alpha decay half-lives and cluster decay half-lives for superheavy nuclei of atomic number range [Formula: see text]. We have compared the logarithmic half-lives produced by the present formula with that of experiments and other formulae, such as universal decay law (UDL) [H. C. Manjunatha and K. N. Sridhar, Eur. Phys. J. A 53, 156 (2017)] and Horoi et al. [Horoi et al., J. Phys. G[Formula: see text] Nucl. Part. Phys. 30, 945 (2004)], Univ [D. Ni and Z. Ren, Phys. Rev. C 74, 014304 (2006)], Royer [G. Royer, J. Phys. G: Nucl. Part. Phys. 26, 1149 (2000)] and VSS [S. A. Gurvitz and G. Kalbermann, Phys. Rev. Lett. 59, 262 (1987)]. The constructed formula produces logarithmic half-lives for alpha and cluster decay (4He,9Be, [Formula: see text]B, [Formula: see text]C, [Formula: see text]N, [Formula: see text]O, [Formula: see text]F, [Formula: see text]Ne, [Formula: see text]Na, [Formula: see text]Mg, [Formula: see text]Al, [Formula: see text]Si, [Formula: see text]P, [Formula: see text]S, [Formula: see text]Cl, [Formula: see text]Ar, [Formula: see text]K and [Formula: see text]Ca) in superheavy nuclei of atomic number range [Formula: see text].

Alpha decay half-lives of heavy nuclei within a generalized liquid drop model

2009 ◽  
Vol 33 (S1) ◽  
pp. 95-97 ◽  
Author(s):  
Zhang Hong-Fei ◽  
Wang Zu-Kai ◽  
Cheng Xi-Meng ◽  
Zuo-Wei ◽  
Li Jun-Qing
Keyword(s):  
Liquid Drop ◽  
Alpha Decay ◽  
Heavy Nuclei ◽  
Liquid Drop Model

scholarly journals A NEW PHENOMENOLOGICAL FORMULA FOR GROUND-STATE BINDING ENERGIES

2011 ◽  
Vol 20 (01) ◽  
pp. 179-190 ◽  
Author(s):  
G. GANGOPADHYAY
Keyword(s):  
Binding Energy ◽  
Single Particle ◽  
Ground State ◽  
Liquid Drop ◽  
Alpha Decay ◽  
Binding Energies ◽  
Present Calculation ◽  
Mean Square ◽  
Liquid Drop Model ◽  
The One

A phenomenological formula based on liquid drop model has been proposed for ground-state binding energies of nuclei. The effect due to bunching of single particle levels has been incorporated through a term resembling the one-body Hamiltonian. The effect of n–p interaction has been included through a function of valence nucleons. A total of 50 parameters has been used in the present calculation. The root mean square (r.m.s.) deviation for the binding energy values for 2140 nuclei comes out to be 0.376 MeV, and that for 1091 alpha decay energies is 0.284 MeV. The correspondence with the conventional liquid drop model is discussed.

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.

On the Stability of Superheavy Nuclei against Fission, Alpha Decay and Electron Capture

1971 ◽  
Vol 26 (4) ◽  
pp. 643-652 ◽  
Author(s):  
Jens Grumann ◽  
Tihomir Morovic ◽  
Walter Greiner
Keyword(s):  
Potential Energy ◽  
Electron Capture ◽  
Spontaneous Fission ◽  
Energy Surface ◽  
Liquid Drop ◽  
Alpha Decay ◽  
Superheavy Nuclei ◽  
Liquid Drop Model ◽  
Α Decay ◽  
The Stability

AbstractThe potential energy surface has been calculated by two methods which are compared with re­spect to spontaneous fission. In the first one essentially the sum of the single particle energies is computed as was done in a previous paper3 while in the second one the Strutinsky technique of renormalizing to a liquid drop model has been applied. Also the half-lives for electron capture are investigated together with the predictions of the half-lives for spontaneous fission and α-decay. The results support the existence of superheavy nuclei in the regions around Z = 114 and Z = 164.

scholarly journals Lα X-ray satellites for 31 ≤ Z ≤ 38: Systematization

2019 ◽  
Vol 8 (4) ◽  
pp. 5275-5278
Keyword(s):  
Atomic Number ◽  
Empirical Method ◽  
The Self ◽  
Sufficient Data ◽  
Number Range ◽  
X Ray ◽  
Self Consistent ◽  
Consistent Method ◽  
Semi Empirical ◽  
First Time

An examination of the problem of the energy values, their interpretation and the origin of the Lα x - ray satellites in the atomic number range Z = 31-38 reveals non existence and lack of sufficient data for the purpose. The energies of these satellites where not available are obtained using suitable semi-empirical method for the elements under investigation and the available systematization procedures namely Mosley plot and the self consistent doubly modified Mosley plot are considered. It is concluded that the self consistent method is not applicable in the present scenario. The energy values for the satellites Lα5 , Lα6 and Lα7 are calculated using Mosley plot for the atomic number range Z= 31 to 35 and are reported for the first time.

scholarly journals The Study of Modified Semi-Empirical Mass Formula (SEMF) by Considering Isospin Effects in Liquid Drop Model

2019 ◽  
Vol 2 ◽  
pp. 153-160
Author(s):  
Sinta Ayu Sakinah ◽  
Eko Tri Sulistyani
Keyword(s):  
Mass Formula ◽  
Liquid Drop ◽  
Experimental Results ◽  
Macroscopic Model ◽  
Model Parameters ◽  
Liquid Drop Model ◽  
Protons And Neutrons ◽  
Symmetry Properties ◽  
K 12 ◽  
Semi Empirical

We do theoretically study of Modified Semi-Empirical Mass Formula (SEMF) based on macroscopic approach in liquid drop model by considering isospin effects. Isospin is one of internal symmetry properties in hadron group, particularly the nucleon multiplet, it represented by SU(2) isospin group. Hadron is a group of elementary particles take place in the strong interaction. The role of strong interactions represents homogeneous nuclear force, interactions between proton-proton (Fpp) , proton-neutron (Fpn), and neutron-neutron (Fnn) are  same. In other words, protons and neutrons are indistinguishable because mass (energy) between protons and neutrons is almost the same, by removing charge between them (charge independent). The dependence of isospin effects on nuclear symmetry term and odd-even (pairing) term  made the formulation of  SEMF should be modificated, in order to obtain nuclear mass and binding energy of a nucleus close to the experimental results. We do two accuracy testing. First, by comparing |Mexp - Mth| for nuclei Pb82208 using SEMF before and after being modified, the result shows that using SEMF before modification the value of |Mexp - Mth|≈ 0,0204 u and for modified SEMF we obtained |Mexp - Mth|≈ 0,0203 u at k=12 . The value of |Mexp - Mth| for modified SEMF is smaller than before modification, it indicates that Modified SEMF is a good formula to calculate the mass of nuclei. Second, by comparing Modified SEMF with other models such as FRDM, HFB-14, and HFB-17 using accuracy parameter in the form of rms deviation   and number of model parameters   ). The results show that rms deviation   decrease 21% to 0,516 and number of model parameters    ) decrease to 15, consists of 13 macroscopic model parameters    and two microscopic model parameters      and �). The value of model parameters was obtained by fitting to experimental results, as a reason it is called semi-empiric.

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