Integrals involving the three-parameter Fermi function

Author:

Maung Khin Maung,Deutchman P. A.,Royalty W. D.

Abstract

It is shown that a binomial expansion in evaluating integrals involving the two- and three-parameter Fermi or Woods–Saxon function is possible because of bounded convergence and integrability. New results involving analytic expressions with the three-parameter Fermi function for integrals encountered in evaluating the nuclear moments [Formula: see text],the generalized moments [Formula: see text], and the radial Fourier transforms are presented. Also as a new result, an expression for the radial Fourier transform of the square of the two-parameter Woods–Saxon density is obtained, and the solution for the three-parameter density is indicated.

Publisher

Canadian Science Publishing

Subject

General Physics and Astronomy

Cited by 9 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Fermi Function and Its Applications;Journal of Applied Mathematics and Physics;2023

2. Pion-heavy ion scattering total and inelastic cross sections for space radiation applications;Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms;2019-01

3. 2nd-order optical model of the isotopic dependence of heavy ion absorption cross sections for radiation transport studies;Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms;2018-01

4. Moments of the three-parameter Fermi distribution;Modern Physics Letters A;2017-11-21

5. Inverse scattering: Revisited;Journal of the Korean Physical Society;2014-06

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