I Mehrotra
Articles written in Pramana – Journal of Physics
Volume 70 Issue 1 January 2008 pp 101-111 Research Articles
Proton radioactivity with analytically solvable potential
The phenomenon of proton emission is treated as a process of asymmetric fission through a one-dimensional potential barrier developed due to combined effects of the Coulomb potential, centrifugal potential and various renormalization processes. The barrier is simulated to an asymmetric, smooth and analytically solvable potential with adjustable depth, shape and range. The half-lives of proton emitters in the mass range $A = 105-171$ have been calculated using exact expression for the transmission coefficients. Good agreement with the experimental data is obtained by the adjustment of just one parameter in all the cases.
Volume 72 Issue 4 April 2009 pp 753-758 Brief Reports
Alpha radioactivity for proton-rich even Pb isotopes
Arati Devi S Prakash I Mehrotra
Half-lives for alpha radioactivity from proton-rich even Pb isotopes in the range $A = 182–202$ have been calculated using the unified fission-like approach. The geometrical shape of the potential barrier is parametrized in terms of a highly versatile, asymmetric and analytically solvable form of potential based on Ginnochio’s potential. Good agreement with the experimental data has been obtained with the variation of just one parameter. Half-lives of three unknown alpha emitters in the neutron-deficient Pb chain (198Pb, 200Pb and 204Pb) have been predicted. The exact expression for the transmission coefficient has been compared with those obtained from WKB approximation method for symmetric Eckart potential.
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