Analytical calculation of fusion cross-sections |
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Authors: | R Arora R K Puri R K Gupta |
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Institution: | (1) Center of Advanced Study in Physics, Panjab University, Chandigarh-160014, India, IN |
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Abstract: | 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.
Received: 24 February 1999 / Accepted: 16 March 2000 |
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Keywords: | 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 |
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