Clemenger-Nilsson model

Recently it has been shown [21] that the spectrum of this g-deformed, 3-dimensional harmonic oscillator (Q30) reproduces very well that of the modified harmonic oscillator introduced by Nilsson [12, 15] without the spin-orbit coupling term. Since the Nilsson model without spin-orbit coupling is essentially the Nilsson-Clemenger model used for the description of metal clusters [11], it is worth examining whether the Q30 model can be used to reproduce the magic numbers and some other properties of simple metal clusters. 

It has been proven [21] that the spectrum obtained with the Q30 model closely resembles that of the modified harmonic oscillator of Nilsson and Clemenger. In both cases, the effect of the 1(14-1) term is to flatten the bottom of the harmonic oscillator potential, making it resemble the Woods-Saxon potential [18]. 

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