Abstract:
The connection between the homogeneous and inhomogeneous equations for the Coulomb
scattering wave function of two particles is investigated. It is shown that the form of
the equation depends on the method used to regularize the divergent integrals in the
homogeneous part of the equation. This result is a generalization of the result obtained
by Van Iiaeringen for orbital angular momentum l=0. It is also shown to be helpful
to introduce a Coulomb asymptotic state in the momentum representation; this is the
inhomogeneous part of the equation and contains all the principal information about the
forward scattering of charged particles. Therefore, the Coulomb asymptotic states
can be used to find the behavior of the reaction amplitudes of charged particles near
singularities in cosθ, where θ is the scattering angle.
\Bibitem{Muk85}
\by A.~M.~Mukhamedzhanov
\paper Integral equations for Coulomb scattering wave functions and Coulomb asymptotic states
\jour TMF
\yr 1985
\vol 62
\issue 1
\pages 105--116
\mathnet{http://mi.mathnet.ru/tmf4534}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=782100}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 62
\issue 1
\pages 70--77
\crossref{https://doi.org/10.1007/BF01034827}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985ANK4300008}
Linking options:
https://www.mathnet.ru/eng/tmf4534
https://www.mathnet.ru/eng/tmf/v62/i1/p105
This publication is cited in the following 3 articles:
A. M. Mukhamedzhanov, A. S. Kadyrov, D. Y. Pang, “Trojan horse method as an indirect approach to study resonant reactions in nuclear astrophysics”, Eur. Phys. J. A, 56:9 (2020)
A. M. Mukhamedzhanov, A. S. Kadyrov, “Theory of Surrogate Nuclear and Atomic Reactions with Three Charged Particles in the Final State Proceeding Through a Resonance in the Intermediate Subsystem”, Few-Body Syst, 60:2 (2019)
E. O. Alt, W. Sandhas, Coulomb Interactions in Nuclear and Atomic Few-Body Collisions, 1996, 1
Citation in format AMSBIB
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