Multidimensional model of cluster radioactivity

Nucleus-nucleus potential with shell-correction contribution

“…This approximation for the energy of nucleus based on the semiclassical energy-density functional is simple and accurate. Similar approximations ware successfully used for the evaluation of the atomic masses [39], the fission barrier characteristics [48], the nucleus-nucleus potentials [6,17,19,20,35,51], and the cluster emission [42].…”

“…Taking into account these conditions, the relaxed-density ansatz [42] for the proton (neutron) density of the interacting nuclei at point r can be presented as…”

“…The shellcorrection energy is an important ingredient of various modern nuclear physics models because the shell corrections strongly improve the modeling accuracy. Many key parameters such as atomic masses [39,40], fission process [37,38], cluster decay of heavy nuclei [41,42], and fusion cross section hindrance at deep sub-barrier energies [43] are well described in the frameworks of the macroscopic-microscopic models.…”

“…The ETF kinetic energy-density functional consists of the Thomas-Fermi term and all correction terms of the order 4 [48]. Such an approach shows high accuracy for the description of atomic masses [39,48], nucleus-nucleus potentials for various systems [6,20,22], and the cluster decay of heavy nuclei [42].…”

Phenomenological potential calculations for cluster decays

“…After Gamow wrote a closed formula between the logarithmic values of half-lives and the Q-values, this relation and formula were also obtained by Geiger and Nuttall [6]. In recent years studies considering deformations on the α -decay of heavy and super heavy nuclei have become interesting and popular research avenues [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25].…”