Analytical description of heavy ion potentials for collisions between nuclei of same shell
Manoj K. Sharma1,2 - Rajeev K. Puri2 - Raj K. Gupta2
1 Adesh Institute of Engineering and Technology, Faridkot, India.
2 Center of Advanced Study in Physics, Panjab University, Chandigarh-160014, India.
Received: 2 October 1997 / Revised version: 15 December 1997 Communicated by P. Schuck
Abstract
Using Skyrme energy density formalism, we present
an analytical formula of ion-ion potential (including spin-density part)
in terms of the masses of colliding nuclei. The parametrization of
the spin-independent part
of the ion-ion potential is based on the proximity
theorem whereas the spin-dependent
potential is
parametrized in terms of "the masses of colliding nuclei and
their associated particle strength''. The particle strength
accounts for the number of valence
particles outside the closed core. Adding Coulomb interaction, this
parametrization of ion-ion potential introduces a great simplification
for the calculation of fusion barriers and cross-sections analytically.
Our parametrized potentials are in good agreement with other theoretical
potentials and the fusion cross-sections calculated with this potential
are in good agreement with experimental data.
PACS
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