Proton radioactivity half-lives with nuclear asymmetry factor

Abstract

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.

Systematic study on proton radioactivity of spherical proton emitters within two-potential approach

“…The formation probability of proton radioactivity containing a lot of nuclear structure properties is also called by spectroscopy factor, which plays an important role in the calcula- d . The methods include BCS-Lim [40], RMF+BCS-Zhang [9], CDF+BCS [39], RCHB+PC-PL1 [40], RMF+BCS-NL1 [38] and RMF+BCS -NL3 [38] Table 1 Calculations of proton radioactivity half-lives for spherical proton emitters different methods and formation probability of proton radioactivity using Eq. 14 tion of half-life.…”

“…Both the semi-microscopic method and the phenomenological method are used to calculate the probability of formation of proton radioactivity [9,19,[37][38][39][40][41][42][43][44]. In 2012, Qi et al [41] proposed a universal decay law for proton emission (UDLP).…”

“…We collect some recent results of formation probability calculated by semi-microscopic methods and discuss their direct relationship with the properties of the nuclear structure by phenomenological means. The methods including BCS-Lim [40], RMF+BCS-Zhang [9], CDF+BCS [39], RCHB+PC-PL1 [40], RMF+BCS-NL1 [38] and RMF+BCS -NL3 [38] are plotted in Fig. 2.…”

“…Moreover, since the formation probability (spectroscopic factor) of proton radioactivity being one of the most important considerations in the calculation of half-life, it has becoming a hot topic [35][36][37][38][39][40]. There are several semimicroscopic methods to computationally study the formation probability such as relativistic mean field theory (RMF) with BCS method [9,19,[35][36][37][38], covariant density functional (CDF) with BCS method [39] and relativistic continuum Hartree-Bogoliubov (RCHB) [40] and so on. While the phenomenological methods in relation to nuclear structure are also adopted to study the formation probability such as a phenomenological discussion about its linear relationship given by Qi et al [41][42][43].…”

Systematic study on proton radioactivity of spherical proton emitters within two--potential approach

“…Moreover, since the formation probability (spectroscopic factor) of proton radioactivity being one of the most important considerations in the calculation of halflife, it has becoming a hot topic [35][36][37][38][39][40]. There are several semi-microscopic methods to computationally study the formation probability such as relativistic mean field theory (RMF) with BCS method [9,19,[35][36][37][38], covariant density functional (CDF) with BCS method [39] and relativistic continuum Hartree-Bogoliubov (RCHB) [40] and so on. While the phenomenological methods in relation to nuclear structure are also adopted to study the formation probability such as a phenomenological discussion about its linear relationship given by Qi et al .…”