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

PROPERTIES OF ALPHA DECAY TO ROTATIONAL BANDS OF HEAVY NUCLEI

2010 ◽  
Vol 19 (10) ◽  
pp. 1961-1971 ◽  
Author(s):  
Y. Z. WANG ◽  
J. Z. GU ◽  
J. M. DONG ◽  
B. B. PENG
Keyword(s):  
Experimental Data ◽  
Ground State ◽  
Liquid Drop ◽  
Alpha Decay ◽  
Branching Ratios ◽  
Heavy Nuclei ◽  
Liquid Drop Model ◽  
Α Decay ◽  
Rotational Bands ◽  
Good Agreement

In the framework of the generalized liquid drop model (GLDM) and improved Royer's formula, we investigate the branching ratios and half-lives of α-decay to the members of the ground-state rotational bands of heavy even–even Fm and No isotopes. The calculated results are in good agreement with the available experimental data and some useful predictions are provided for future experiments.

scholarly journals Existence and nonexistence in the liquid drop model

2021 ◽  
Vol 60 (6) ◽  
Author(s):  
Rupert L. Frank ◽  
Phan Thành Nam
Keyword(s):  
Liquid Drop ◽  
Riesz Potential ◽  
Heavy Nuclei ◽  
Liquid Drop Model ◽  
Optimal Range ◽  
Nonexistence Result ◽  
Existence Of Minimizers ◽  
Existence And Nonexistence

AbstractWe revisit the liquid drop model with a general Riesz potential. Our new result is the existence of minimizers for the conjectured optimal range of parameters. We also prove a conditional uniqueness of minimizers and a nonexistence result for heavy nuclei.

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.

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.

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