Modified Nilsson potential

Shell-Correction and Averaging of Single-Particle Spectra for the Modified Nilsson Potential... 

Fig.l. Single-particle levels for protons and neutrons in the A=100 region for the modified oscillator potential of the Nilsson model as a function of prolate deformation. 

It should be mentioned that the Nilsson-type potentials are implicitly nonlocal, since some of their parameters change slightly from shell to shell. On the other hand, a modified quantum theory based on the deformation of some standard symmetries used in quantum mechanics may describe the nonlinearity and non-locality of the interaction and take into account the deformability of the system as a whole. These symmetry deformations are usually referred to as 9-deformations, and are described by the so-called g-deformed algebras (see, for instance, the review article [20]). In particular, a g-deformed version of... 

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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