Alpha decay half-lives of 171-189Hg isotopes using Modified Gamow-like model and temperature dependent proximity potential

W. A. Yahya W. A. Yahya

doi:10.46481/jnsps.2020.139

Abstract

The alpha decay half-lives for $^{171-189}\mathrm{Hg}$ isotopes have been computed using the Gamow-like model (GLM), modified Gamow-like model (MGLM1), temperature-independent Coulomb and proximity potential model (CPPM), and temperature-dependent Coulomb and proximity potential model (CPPMT). New variable parameter sets were numerically calculated for the $^{171-189}\mathrm{Hg}$ using the modified Gamow-like model (termed MGLM2). The results of the computed standard deviation indicates that the modified Gamow-like model (MGLM2) and the temperature-dependent Coulomb and proximity potential model give the least deviation from available experimental values, and therefore suggests that the two models (MGLM2 and CPPMT) are the most suitable for the evaluation of $\alpha$-decay half-lives for the $\mathrm{Hg}$ isotopes.

Highlights

Introduction experimentally via various approachesSome of the theoreti-Alpha decay, first discovered in 1899 by Rutherford, is one of the crucial decay modes for heavy nuclei [1]
One observes that the CPPMT has a lower calculated the α-decay half-lives of the isotopes using the modi- standard deviation value compared with the Coulomb and proximity potential model (CPPM)
The α-decay half-lives of Hg isotopes in the mass range 171 ≤ A ≤ 189 have been studied using the Gamowlike model (GLM), modified Gamow-like model (MGLM1), the temperature-independent Coulomb and proximity potential model (CPPM), and the temperature-dependent Coulomb and proximity potential model (CPPMT)

Summary

Modified Gamow-like model

Μ = mA1A2/(A1 + A2) is the reduced mass of the daughter nucleus and the α particle, m is the nucleon mass, Ek = Qα(A − 4)/A is the kinetic energy of the emitted α particle In this model, the frequency of assault on the potential barrier is evaluated using ν=. The proximity potential Vprox can be obtained by calculating the strength of the nuclear interactions between the daughter and emitted α particle: The thermal effects are studied by using the temperature dependent forms of the parameters R, γ and b. They are given by [24]: Ri(T ) = Ri(T = 0) 1 + 0.0005T 2 fm (i = 1, 2) (23).

AT 2 9

CPPM CPPMT

Conclusion