Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



TMF:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 188, Number 2, Pages 273–287
DOI: https://doi.org/10.4213/tmf9093
(Mi tmf9093)
 

This article is cited in 2 scientific papers (total in 2 papers)

Approximate formulas for moderately small eikonal amplitudes

A. V. Kisselev

Institute for High Energy Physics, National Research University "Kurchatov Institute,", Protvino, Moscow Oblast, Russia
Full-text PDF (467 kB) Citations (2)
References:
Abstract: We consider the eikonal approximation for moderately small scattering amplitudes. To find numerical estimates of these approximations, we derive formulas that contain no Bessel functions and consequently no rapidly oscillating integrands. To obtain these formulas, we study improper integrals of the first kind containing products of the Bessel functions $J_0(z)$. We generalize the expression with four functions $J_0(z)$ and also find expressions for the integrals with the product of five and six Bessel functions. We generalize a known formula for the improper integral with two functions $J_\nu(az)$ to the case with noninteger $\nu$ and complex $a$.
Keywords: scattering amplitude, eikonal approximation, improper integral, Bessel function.
Received: 06.11.2015
Revised: 26.12.2015
English version:
Theoretical and Mathematical Physics, 2016, Volume 188, Issue 2, Pages 1197–1209
DOI: https://doi.org/10.1134/S0040577916080055
Bibliographic databases:
PACS: 11.80.Fv
MSC: 81Uxx
Language: Russian
Citation: A. V. Kisselev, “Approximate formulas for moderately small eikonal amplitudes”, TMF, 188:2 (2016), 273–287; Theoret. and Math. Phys., 188:2 (2016), 1197–1209
Citation in format AMSBIB
\Bibitem{Kis16}
\by A.~V.~Kisselev
\paper Approximate formulas for moderately small eikonal amplitudes
\jour TMF
\yr 2016
\vol 188
\issue 2
\pages 273--287
\mathnet{http://mi.mathnet.ru/tmf9093}
\crossref{https://doi.org/10.4213/tmf9093}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3589002}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2016TMP...188.1197K}
\elib{https://elibrary.ru/item.asp?id=26604202}
\transl
\jour Theoret. and Math. Phys.
\yr 2016
\vol 188
\issue 2
\pages 1197--1209
\crossref{https://doi.org/10.1134/S0040577916080055}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000382875800005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84986239379}
Linking options:
  • https://www.mathnet.ru/eng/tmf9093
  • https://doi.org/10.4213/tmf9093
  • https://www.mathnet.ru/eng/tmf/v188/i2/p273
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:395
    Full-text PDF :148
    References:73
    First page:20
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024