Analytical calculation of fusion cross-sections
Center of Advanced Study in Physics, Panjab University, Chandigarh, 160014, India
2 Khalsa College for Women, Civil Lines, Ludhiana (Panjab), India
Revised: 21 September 1999
Published online: 15 May 2000
We analyse the fusion cross-sections, calculated by using two different analytical parameterisations and compare them with the experimental data. Both the parameterisations are based on ion-ion potentials calculated within the framework of Skyrme energy density formalism. In the first case, the ion-ion potential (including the spin-density term) was parameterised and then, by adding the Coulomb potential, one could compute the fusion barrier analytically. In the second case, the calculated fusion barrier heights and positions were parameterised directly. Both of these (previously) reported parameterisations are used here to calculate the fusion barriers and fusion excitation functions for more than 50 reactions belonging to the s-d and f-shell nuclei. A detailed comparison of these parametrisations with the experimental and several other theoretical results shows that both of these parameterisations are able to reproduce the experimental data equally well. As the (second) direct parameterisation depends only on the charges and masses of colliding nuclei, it is very useful for predicting/ understanding the fusion process in low energy heavy-ion reactions.
PACS: 25.70.-z Low and intermediate energy heavy-ion reactions – / 25.70.Jj Fusion and fusion-fission reactions – / 24.10.-i Nuclear-reaction models and methods – / 25.60.Pj Fusion reactions –
© Società Italiana di Fisica and Springer-Verlag, 2000