Abstract:
The limit of zero interaction range is correctly defined for a system
of three spinless particles and three particles in a doublet state.
The scattering amplitude is expanded with respect to the interaction
range rr, and the corrections of order rlnrrlnr, rr, and r2ln2rr2ln2r are
found. An explicit model-independent asymptotic expression is obtained
for the scattering amplitude in terms of the scattering length, and its
accuracy is established.
Citation:
I. V. Simenog, D. V. Shapoval, “Interaction range perturbation theory for three-particle problem”, TMF, 75:2 (1988), 275–287; Theoret. and Math. Phys., 75:2 (1988), 522–531
\Bibitem{SimSha88}
\by I.~V.~Simenog, D.~V.~Shapoval
\paper Interaction range perturbation theory for three-particle problem
\jour TMF
\yr 1988
\vol 75
\issue 2
\pages 275--287
\mathnet{http://mi.mathnet.ru/tmf4821}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=959128}
\transl
\jour Theoret. and Math. Phys.
\yr 1988
\vol 75
\issue 2
\pages 522--531
\crossref{https://doi.org/10.1007/BF01017493}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988U172900012}
Linking options:
https://www.mathnet.ru/eng/tmf4821
https://www.mathnet.ru/eng/tmf/v75/i2/p275
This publication is cited in the following 4 articles:
B. E. Grinyuk, I. V. Simenog, “Structure of the 6He nucleus in the three-particle model”, Phys. Atom. Nuclei, 72:1 (2009), 6
D V Shapoval, I V Simenog, O G Sitenko, J W Darewych, “The spectrum of integral operators with logarithmically divergent norm”, J. Phys. A: Math. Gen., 26:21 (1993), 5923
J. W. Darewych, A. G. Sitenko, I. V. Simenog, A. I. Sitnichenko, “Variational two- and three-particle solutions of the relativistic Yukawa model”, Phys. Rev. C, 47:5 (1993), 1885
D. V. Shapoval, I. V. Simenog, “Threshold anomaly in doubletn-d scattering”, Few-Body Systems, 8:4 (1990), 145
Citation in format AMSBIB
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