A closed form solution of the s-wave Bethe–Goldstone equation with an infinite repulsive core

DOI10.1063/1.527398zbMath0595.45014OpenAlexW2022326852MaRDI QIDQ3726744

M. K. Ong

Publication date: 1986

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527398

zbMATH Keywords

closed formHilbert-Schmidt theoremangular prolate spheroidal wave functionsBethe-Goldstone equationinfinite repulsive coreinteraction of two nucleonsof solutions-wave solution

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Strong interaction, including quantum chromodynamics (81V05) Fredholm integral equations (45B05) Eigenvalue problems for integral equations (45C05) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40)

Related Items (2)

The solution of the s-wave Bethe–Goldstone equation with a standard hard core potential ⋮ Asymptotics of prolate spheroidal wave functions

Cites Work

• On the eivenvalues of an integral equation arising in the theory of band-limited signals
• Effect of a repulsive core in the theory of complex nuclei
• Some Asymptotic Expansions for Prolate Spheroidal Wave Functions
• Eigenvalues Associated with Prolate Spheroidal Wave Functions of Zero Order
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty-III: The Dimension of the Space of Essentially Time- and Band-Limited Signals

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