Finite Range Effects on Fusion and/or Breakup of ⁶ He+ ²³⁸ U and ¹¹ Li+ ²⁰⁸ Pb Systems

Abstract

We have studied the effects of the finite range of the interaction between the fragments of the projectile on the fusion and/or breakup of 6 He+ 238 U and 11 Li+ 208 Pb systems at near barrier energies within the framework of dynamic polarization potential approach. It has been found that at near barrier energies the maximum flux is lost to the breakup channel and at energies well above the Coulomb barrier the fusion coupled with the breakup channel opens up, initially with sharp rise and later becoming saturated at energy nearly twice of the Coulomb barrier. Further, it is found that the breakup cross section increases with the increasing range of the interaction between the fragments of the projectile while the fusion coupled with the breakup channel cross section decreases with the increasing range.

Interaction of11Li with208Pb

“…Recent review articles dealing with the general subject of the fusion of weakly bound nuclei are available [17][18][19] For the 11 Li + 208 Pb reaction, more recent theoretical work [20] suggests that incomplete fusion and sequential complete fusion are negligible processes. Additional theoretical treatments of the fusion of 11 Li with 208 Pb have been made recently [21,22]. Elastic scattering measurements for 9,11 Li + 208 Pb have been performed [23].…”

Effects of intrinsic degrees of freedom in enhancement of sub-barrier fusion excitation function data and energy-dependent one-dimensional barrier penetration model

“…This paper highlights the barrier modification effects introduced due to the EDWSP model and the coupled channel model in sub-barrier fusion dynamics of 32 32 16 S nucleus and multineutron transfer channels, which puzzles the behavior of sub-barrier fusion enhancement of 32;36 16 S þ 90;96 40 Zr reactions, is still unclear. Therefore, from the present work, the unambiguous conclusion with regard to the relative importance of multi-phonon vibrational couplings and neutron transfer couplings is directly evident.…”

“…In this connection, many attempts have been made to deduce the relevant information regarding the optimum form of nuclear potential by analyzing the large set of experimental data [10][11][12][13][14][15][16][17]. Generally, the static Woods-Saxon potential is most frequently used to address the heavy-ion reactions.…”

“…This diffuseness anomaly, which reflects the inconsistency of static Woods-Saxon potential for simultaneously exploring of elastic scattering and fusion process, may be associated with various kinds of static and dynamical physical effects [1][2][3][4][5][6][7][18][19][20]. To understand the cause of diffuseness anomaly and the puzzling behavior of sub-barrier fusion data, in the present work we have analyzed the fusion dynamics of 32;36 16 S þ 90;96 40 Zr systems within the context of the coupled channel approach and the energy-dependent Woods-Saxon potential model (EDWSP model) [21][22][23][24][25][26][27][28][29][30][31][32][33]. The role of internal structure degrees of freedom of colliding nuclei is entertained within the framework of coupled channel calculations performed by using the code CCFULL [34].…”

“…In the presence of strong multi-phonon vibrational states of collision partners, it is very difficult to single out the contribution of multi-neutron transfer channels, and thus, the rich interplay of multi-phonon vibrational states and multi-nucleon transfer channel still attracts the analysis of fusion dynamics of 32;36 16 S þ 90;96 40 Zr systems [35,36]. The simultaneous existence of the strong octupole vibrations in 96 40 Zr nucleus and the neutron transfer channels puzzles relative importance of inelastic surface vibrational couplings and neutron transfer couplings in the enhancement of sub-barrier fusion excitation function data.…”