On the Bohr-Sommerfeld quantization condition and assault frequency in a semiclassical model for α decay

The half-lives of the [Formula: see text] decay for even–even nuclei having [Formula: see text] (164 nuclei) have been calculated by using the Wentzel–Kramers–Brillouin (WKB) method together Bohr–Sommerfeld (BS) quantization condition for cosh potential in two-different forms with and without the isospin effects for six different parameter sets. By comparing the obtained results with the experimental values, the rms deviations have been computed. It is obtained that when the cosh potential is used in 2 different type forms, the rms values are also changed and the better one for obtaining the half-lives is cosh-2 form. Even if the isospin-dependent potential does not have so much effect on rms values in this sort of WKB with BS calculations with cosh potential forms, considering the isospin effect together the isospin-dependent nuclear diffuseness parameter have a strong influence on the rms values. New hindrance factor formula based on liquid drop model was used in order to show the influence of hindrance factor on the [Formula: see text] decay half-lives. It is pointed out that this new function of the hindrance factor does not depend on the magic numbers, it contains fewer free parameters and using of this improves the calculations positively. New estimates by using present model have also been made for even–even nuclei having with [Formula: see text] which do not have the measured [Formula: see text] decay half-lives yet and they have been compared the results of the ImSahu model. The present results would provide useful information and knowledge for the explanation of half-lives of [Formula: see text] decay of nuclei and future possible experimental studies.

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Semiclassical model of the structure of matter

Uspekhi Fizicheskih Nauk ◽

10.3367/ufnr.0182.201205a.0457 ◽

2012 ◽

Vol 182 (5) ◽

pp. 457 ◽

Cited By ~ 3

Author(s):

Galina V. Shpatakovskaya

Keyword(s):

Semiclassical Model ◽

Structure Of Matter

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α-decay half-lives for neutral atoms and bare nuclei

Physical Review C ◽

10.1103/physrevc.78.054317 ◽

2008 ◽

Vol 78 (5) ◽

Cited By ~ 19

Author(s):

Zygmunt Patyk ◽

Hans Geissel ◽

Yuri A. Litvinov ◽

Agatino Musumarra ◽

Chiara Nociforo

Keyword(s):

Neutral Atoms ◽

Α Decay

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Formation of α clusters in dilute neutron-rich matter

Science ◽

10.1126/science.abe4688 ◽

2021 ◽

Vol 371 (6526) ◽

pp. 260-264 ◽

Cited By ~ 1

Author(s):

Junki Tanaka ◽

Zaihong Yang ◽

Stefan Typel ◽

Satoshi Adachi ◽

Shiwei Bai ◽

...

Keyword(s):

Cross Sections ◽

Cluster Formation ◽

Reaction Cross ◽

Skin Thickness ◽

Neutron Skin ◽

Heavy Nuclei ◽

Α Decay ◽

Neutron Skin Thickness ◽

Reaction Cross Sections ◽

Α Particles

The surface of neutron-rich heavy nuclei, with a neutron skin created by excess neutrons, provides an important terrestrial model system to study dilute neutron-rich matter. By using quasi-free α cluster–knockout reactions, we obtained direct experimental evidence for the formation of α clusters at the surface of neutron-rich tin isotopes. The observed monotonous decrease of the reaction cross sections with increasing mass number, in excellent agreement with the theoretical prediction, implies a tight interplay between α-cluster formation and the neutron skin. This result, in turn, calls for a revision of the correlation between the neutron-skin thickness and the density dependence of the symmetry energy, which is essential for understanding neutron stars. Our result also provides a natural explanation for the origin of α particles in α decay.

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