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Proton radioactivity half-lives with nuclear asymmetry factor
Chinese Physics C ( IF 3.6 ) Pub Date : 2021-03-25 , DOI: 10.1088/1674-1137/abe03f
A. Soylu 1 , F. Koyuncu 2 , G. Gangopadhyay 3 , V. Dehghani 4 , S. A. Alavi 4
Affiliation  

The dependence of proton emission half-lives on the nuclear asymmetry parameter is investigated using the WKB method and two types of empirical formula. Using the single-folding formalism with asymmetry-dependent nuclear radius and surface diffuseness of nuclear matter, the nuclear potential and consequently the half-life are functions of the asymmetry factor. Despite small values of asymmetry in neutron-deficient proton emitters, noticeable changes in the half-lives are observed. The addition of an asymmetry parameter term to the two forms of empirical formulas leads to a reduction in the rms error for ground state and isomeric transitions. A noticeable reduction of about 43% is obtained for isomeric transitions in the second form of the empirical formula. Considering ground state transitions in two categories, odd-even and odd-odd emitters, and adopting deformation and asymmetry-dependent empirical formulas, the rms decreases remarkably. The lowest values of rms errors, viz. 0.1492, 0.2312, and 0.1999, are obtained for the aforementioned empirical formulas for ground state transitions of odd-even and odd-odd emitters and for all isomeric transitions, respectively.



中文翻译:

具有核不对称因子的质子放射性半衰期

使用WKB方法和两种经验公式研究了质子发射半衰期对核不对称参数的依赖性。使用具有不对称依赖的核半径和核物质表面扩散的单折形式,核势和半衰期是不对称因子的函数。尽管缺乏中子的质子发射器的不对称值很小,但观察到半衰期的显着变化。在两种形式的经验公式中添加不对称参数项可以降低基态和异构跃迁的 rms 误差。在经验公式的第二种形式中,异构转换获得了约 43% 的显着减少。考虑到两类基态跃迁,奇偶发射器和奇奇发射器,采用与变形和不对称相关的经验公式,均方根值显着降低。均方根误差的最低值,即。0.1492、0.2312 和 0.1999 分别针对奇偶和奇奇发射体的基态跃迁和所有异构跃迁的上述经验公式获得。

更新日期:2021-03-25
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