SEMIEMPIRICAL FORMULAS FOR THE LAMBDA-HOLE AND NEUTRON-HOLE 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 out ermost levels of a square well, found to be nearly constant to the osc illator 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 of h omega(Lambda) and h omega (N) and those given in the standard literature, obtained mainly from s ize considerations. Our derivation is based only on the assumption tha t a particle-nucleus potential exists. Any reference to particle-hole states is made purely for a rough comparison of our parameters, otherw ise nothing hinges on that description.