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Semi-empirical formulae for the Λ and neutron-hole oscillator frequency

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Abstract

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.

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Authors and Affiliations

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

    M Z Rahman Khan & Nasra Neelofer

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  1. M Z Rahman Khan
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  2. Nasra Neelofer
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Rahman Khan, M.Z., Neelofer, N. Semi-empirical formulae for the Λ and neutron-hole oscillator frequency. Pramana - J. Phys. 46, 425–429 (1996). https://doi.org/10.1007/BF02852269

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  • DOI: https://doi.org/10.1007/BF02852269

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