Belyaev V.B., Motovilov A.K.
Perturbation of Embedded Eigenvalue by a Near-Lying Resonance.
Report-no: JINR E4-96-201.
Submitted to Teoreticheskaya i Matematicheskaya Fizika
(Theor. Math. Phys.) 24 pages, RevTeX style
(77K, LaTeX)
ABSTRACT. The case of quantum-mechanical system (including electronic
molecules) is considered where Hamiltonian allows a separation,
in particular by the Faddeev method, of a weakly coupled
channel. Width (i.~e.~ the imaginary part) of the resonance
generated by a discrete spectrum eigenvalue of the separated
channel is studied in the case where main part of the
Hamiltonian gives itself another resonance. It is shown that if
real parts of these resonances coincide and, at the same time, a
coupling between the separated and main channels is sufficiently
small then the width of the resonance generated by the separated
(molecular) channel is inversely proportional to the width of
the main (nuclear) channel resonance. This phenomenon being a
kind of universal law, may play an important role increasing the
``cold fusion'' probability in electronic molecules whose
nuclear constituents have narrow pre-threshold resonances.