Fusion Cross Sections for 24Mg+208Pb Reaction in Three–Stage Classical Molecular Dynamics Model
Abstract
Fusion cross sections for heavy-ion reactions have been calculated in various classical and semi-classical models. In the classical approach fusion cross sections have been calculated using different model such as Classical Molecular Dynamics (CMD), Classical Rigid-Body Dynamics (CRBD), a 3-Stage Classical Molecular Dynamics (3S-CMD) model and a microscopic Static Barrier Penetration Model (SBPM). In the present work 3S-CMD model is used to calculate fusion cross section. This model combines the advantages of both CMD and CRBD models. This model uses ion-ion potential obtained from dynamically evolving classical microscopic configurations of nuclei with a suitable NN-potential. The 3S-CMD model calculation proceeds in the following three stages: (1) Rutherford trajectory calculation at very large separation, followed by (2) CRBD calculation with rigid-body constraint on both the nuclei up to distances close to the barrier, followed by (3) finding the trajectories of all the nucleons in a full CMD calculation for further evolution by numerically solving Coupled Newton’s equations of motion for all the point nucleons. In the present work we have calculated fusion cross sections for 24Mg+208Pb system in 3S-CMD model. Fusion cross sections have been calculated using a soft-core Gaussian form of NN-potential with the parameter set New Potential (NP). We also investigated the effect of this potential for 16O+92Zr reaction which agree very well with the experimental fusion cross sections. The use of this NP parameter set might give better agreement in the case of 3SCMD calculation of classical fusion cross sections for 24Mg+208Pb reaction.
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References
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