Single particle level density in a finite depth potential well
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We consider the single particle level density [Formula Presented] of a realistic finite depth potential well, concentrating on the continuum [Formula Presented] region. We carry out quantum-mechanical calculations of the partial level density [Formula Presented], associated with a well-defined orbital angular momentum [Formula Presented], using the phase-shift derivative method and the Green’s-function method and compare the results with those obtained using the Thomas-Fermi approximation. We also numerically calculate [Formula Presented] as a [Formula Presented] sum of [Formula Presented] up to a certain value of [Formula Presented] and determine the corresponding smooth level densities using the Strutinsky smoothing procedure. We demonstrate, in accordance with Levinson’s theorem, that the partial contribution [Formula Presented] to the single particle level density from continuum states has positive and negative values. However, [Formula Presented] is nonnegative. We also point out that this is not the case for an energy-dependent potential well. © 1997 The American Physical Society.
author list (cited authors)
Shlomo, S., Kolomietz, V. M., & Dejbakhsh, H.