Approximate formula for the total cross section for a moderately small eikonal function

DOI10.1134/S0040577919100064zbMath1436.81149arXiv1606.06678OpenAlexW2982902766WikidataQ126834305 ScholiaQ126834305MaRDI QIDQ2174680

A. V. Kisselev

Publication date: 21 April 2020

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.06678

zbMATH Keywords

Hankel transformBessel functiontotal cross sectioneikonal approximation

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Perturbation theories for operators and differential equations in quantum theory (81Q15) (2)-body potential quantum scattering theory (81U05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) General integral transforms (44A05)

Cites Work

• Approximate formulas for moderately small eikonal amplitudes
• Integrating products of Bessel functions with an additional exponential or rational factor
• Evaluating infinite integrals involving products of Bessel functions of arbitrary order
• Ramanujan's master theorem and two formulas for the zero-order Hankel transform
• A Note on Asymptotic Evaluation of Some Hankel Transforms
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