[Author: Gao, Y] AND [Keyword: Moment] : Search

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[Author: Gao, Y] AND [Keyword: Moment] (1)	27 Mar 2025	Run
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articleNo Access
Moments of the three-parameter Fermi distribution
- L. Zhang,
- Y. Gao,
- H. Zheng,
- M. R. Huang, and
- X. Liu
Modern Physics Letters A21 Nov 2017
Preview Abstract
The moments $〈 r^{m} 〉$ $〈 r^{m} 〉$ of the spherical three-parameter Fermi distribution (3pF) are presented for $m = 1$ $m = 1$ to 8 as a function of the parameter $w$ $w$ , the half-density radius $c$ $c$ and the diffuseness parameter $a$ $a$ through the introduced parameter $β = π a / c$ $β = π a / c$ , which can be applied to study the neutron skin in neutron rich nuclei. The general expression of the moment can be written as the combination of integrals $I_{n} (k, w)$ $I_{n} (k, w)$ with $k = c / a$ $k = c / a$ . The errors of the analytic moments $〈 r^{m} 〉$ $〈 r^{m} 〉$ are estimated with the typical values of the parameters in 3pF compared with the numerical results.

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