Abstract
The new mass relation based on the generalised Hugenholtz-Van Hove theorem has been used to obtain a relation for the fission barriers of three nuclei. This relation has been found satisfactory to describe the data. Further a general expression has been given describing satisfactorily the inner barrier height, the second minimum and the second barrier height for all actinides with an rms deviation of 0.32, 0.32 and 0.33 MeV respectively. The estimated shell energies agree reasonably well with those of Brack et al. In addition the barriers for thorium isotopes have been described well.
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The authors would like to thank Prof. Abdus Salam, the International Atomic Energy Agency and UNESCO for hospitality at the International Centre for Theoretical Physics, Trieste. We express our deep gratitude to Dr. V.S. Ramamurthy for several helpful discussions during the course of this work and also for a critical reading of the manuscript. We thank Ajit Mohanty for providing the results for the surface and Coulomb coefficients. We are grateful to Prof. S.J. Bjornholm for discussion and reading of the manuscript.
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Gupta, S.K., Satpathy, L. A new macroscopic-microscopic description of the double-humped fission barriers. Z. Physik A - Atomic Nuclei 326, 221–225 (1987). https://doi.org/10.1007/BF01283599
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DOI: https://doi.org/10.1007/BF01283599