ROLE OF SURFACE ENERGY COEFFICIENT AND TEMPERATURE OF COMPOUND NUCLEUS IN THE Α-Decay PROCESS

Abstract

The proximity formalism is used to study the influence of the surface energy coefficient γ and temperature T of compound nucleus on the half-life of the α-decay process. For this purpose, we perform a systematic study based on the original version of the proximity model. The obtained results of the present investigation reveal that the half-life of the α-decay process reduces by increasing the strength of the parameter γ. Whereas, temperature-dependence of the compound nucleus increases the calculated values of the α-decay half-life.

Improved calculation of alpha decay half-life by incorporating nuclei deformation shape and proximity potential

“…In this work, = p 0.06 and = q 2 are considered because of better agreement with the experimental data. The nuclear temperature T (in units of MeV ) is correlated to the excitation energy of the compound nucleus * E CN as follows [38][39][40]:…”

Calculation of cluster decays half-lives for nuclei between 56 < Zp < 120 by using temperature dependent proximity model

“…is the center-of-mass incident energy which according to Refs. [22,29] , one can use the following definition…”

Surface energy coefficient of a N2LO Skyrme energy functional : a semiclassical Extended Thomas-Fermi approach

“…From a fundamental point of view, since this last property is controlled by the compressibility for small density oscillations, both quantities are related [3,4]. From a practical point of view, the surface energy naturally contributes to the deformation properties of nuclei [5,6] and thus in fusion reactions [7][8][9][10][11], to the determination of fission barriers [12,13] or in cluster decay [14] and neutron-star matter [15]. It is therefore of the utmost importance to determine precisely the surface energy and each of the aforementionned constraints could be used to fine tune the parameters of an effective interaction [5,16,17].…”