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Semi-empirical; oscillator frequency

We have obtained an expression for the oscillator frequency in inverse powers of the nuclear mass number, by equating the spacing of the outermost levels of a square well, found to be nearly constant to the oscillator spacing for which the spacings are also constant. The formulae for the oscillator frequency obtained here are compared with similar formulae obtained by other authors. A reasonable qualitative agreement is found to exist between our formulae ofħω_A andħω_N and those given in the standard literature, obtained mainly from size considerations. Our derivation is based only on the assumption that a particle-nucleus potential exists. Any reference to particle-hole states is made purely for a rough comparison of our parameters, otherwise nothing hinges on that description.

M Z Rahman Khan¹ Nasra Neelofer¹

1. Department of Physics, Aligarh Muslim University, Aligarh - 202 002, India

Published

June 1996

Manuscript received

24 November 1995