Systematic study of the fusion barriers using different proximity-type potentials forN=Zcolliding nuclei: New extensions

Abstract

By using 14 different versions and parametrizations of a proximity potential and two new versions of the potential proposed in this paper, we perform a comparative study of fusion barriers by studying 26 symmetric reactions. The mass asymmetry ηA = A 2 −A 1 A 2 +A 1 , however, is very large. Our detailed investigation reveals that most of the proximity potentials reproduce experimental data within ±8% on the average. A comparison of fusion cross sections indicates that Bass 80, AW 95, and Denisov DP potentials have a better edge than other potentials. We also propose new versions of the proximity potential as well as Denisov parametrized potential. These new versions improve the agreement with the data.

Nucleus-nucleus potential with shell-correction contribution

“…[36,45,47]. Unfortunately, the evaluated values of the fusion barrier heights for heavy and very heavy nucleusnucleus systems are higher than the empirical ones.…”

“…,12. The dataset for 17820 (17820 = 1485 × 12) macroscopic potential values V imacro (R ij ) and the data for 89 empirical barrier heights B emp k between spherical nucleus-nucleus systems from Refs. [36,[45][46][47] are used for the evaluation of the macroscopical and shell-correction parts of the full phenomenological relaxed-density nucleus-nucleus potential. Note that, as a rule, the values of the empirical barrier heights are extracted from the analysis of sub-barrier heavy-ion fusion reactions.…”

“…Note that, as a rule, the values of the empirical barrier heights are extracted from the analysis of sub-barrier heavy-ion fusion reactions. Therefore, the shell-correction contributions into the full [36,[45][46][47] and barrier heights evaluated using the relaxed density with the shell-correction contribution (relax), frozen-density (frozen) [35], Krappe-Nix-Sirk (KNS) [31], Bass (Bass80) [1], Bass (Bass74) [27], proximity (Prox77) [30], proximity (Prox2000) [34], Winter [33], and Siwek-Wilczynska-Wilczynski (SWW) [10] potentials. nucleus-nucleus potentials are evaluated in the case E B.…”

“…[2][3][4][6][7][8][9][13][14][15][16][17][18][19][20][21][22][23][24][25][26] and papers cited therein. There are also simple phenomenological parametrizations of the nucleus-nucleus potential [1,3,4,10,[27][28][29][30][31][32][33][34][35][36], which are often used for the description of various heavy-ion reactions. The parameters of phenomenological potentials depend smoothly on the numbers of nucleons of interacting nuclei.…”

“…The compilation of the data for empirical nucleus-nucleus barrier heights is given in Refs. [36,[44][45][46][47]. The macroscopic nucleus-nucleus potential is evaluated in the framework of the nonlocal extended Thomas-Fermi (ETF) energy-density functional theory and the relaxed-density approach for the description of the nucleon density distribution of two interacting nuclei around the touching distance.…”