Abstract
In this paper, we obtain reliable expressions to calculate the barrier and pocket positions of the real part of the effective phenomenological optical potential having Woods-Saxon form factor, for different partial waves. The comparison of the results obtained from these formulae, when compared with the numerical results obtained using Newton-Raphson iterative procedure are found to be quite accurate, with error less than 1%. We also obtain algebraic expressions for estimatingl poc, the angular momentum at which the potential pocket vanishes, the accuracy of which is tested with the exact calculations, using self-consistent iterative procedures. These and other expressions deduced in this paper provide simple and useful methods for calculating critical parameters of heavy ion effective potentials like barrier and pocket positions, curvatures at the barrier and pocket positions,l poc and the grazing angular momentuml g to carry out the analysis of heavy ion scattering.
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Jamir, I., Lyngdoh, E.F.P. & Shastry, C.S. Algebraic expressions for effective potential characteristic parameters in heavy ion scattering. Pramana - J Phys 48, 825–835 (1997). https://doi.org/10.1007/BF02845616
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DOI: https://doi.org/10.1007/BF02845616