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The Scattering on the Bound State and the Two‐Particle Resonances
Author(s) -
Knyazkov O. M.,
Maximatchev J. V.
Publication year - 1971
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19714810202
Subject(s) - physics , bound state , scattering , particle (ecology) , resonance (particle physics) , field (mathematics) , limit (mathematics) , coupling (piping) , parametric statistics , quantum mechanics , atomic physics , quantum electrodynamics , mathematics , mathematical analysis , oceanography , geology , mechanical engineering , statistics , pure mathematics , engineering
In the given paper the scattering of a spinless particle by another spinless particle bound in the external field is considered in the three‐dimensional case. The external field is represented by the rectangular well and the two‐particle interaction is parametric. The influence of the single‐particle basis and of the strength of the two‐particle interaction on the resonance structure of the cross‐section is investigated in the limit of weak coupling between channels. It is shown that the dependence of the number of resonances N r on the number of single‐particle levels N is given by the following formula: \documentclass{article}\pagestyle{empty}\begin{document}$ N_r = \frac{{N^2 + (N - 4)^2 }}{2}. $\end{document} . The scattering of a particle by another particle bound in the field of a core is considered.