Abstract

Experimental neutron multiplicity data has been fitted using the Kramers' fission width, in statistical model calculations with and without inclusion of shell corrections in nuclear level density, nuclear masses and fission barrier. It has been found that the magnitude of dissipation strength changes to a large extent with inclusion of shell corrections in different ingredients of the statistical model. These observations clearly demonstrate the importance of shell corrections in statistical model calculations.

Highlights

  • It is well established that the Kramers’ fission width is necessary to describe fusion-fission reaction dynamics

  • We shall compare statistical model predictions obtained with the liquid drop model (LDM) nuclear mass to calculate the neutron binding energy with those obtained with the experimental nuclear masses

  • It is found that the statistical model with Bohr-Wheeler fission width underestimates the pre-scission neutron multiplicity (Mpre) when compared with the experimental data

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Summary

Introduction

It is well established that the Kramers’ fission width is necessary to describe fusion-fission reaction dynamics. It is important to know how the nuclear dissipation depends on the excitation energy and the shell effects. The shell effects can play an important role in this excitation energy range and shell closure in CN can influence the survival probability of SHE. EPJ Web of Conferences different isotopes of Fr (213,215,217Fr) were populated using the 19F + 194,196,198Pt reactions [3] Out of these three isotopes, 213Fr (Nc = 126) is a shell closed CN and the other two (215Fr and 217Fr) are away from shell closure with neutron numbers 128 and 130 respectively. We shall demonstrate the importance of shell correction in various input quantities to statistical model (nuclear masses and fission barrier in particular) to estimate the nuclear dissipation strength by fitting the experimental data

Statistical model calculations
Results and Discussion
Summary and Conclusions

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