arXiv subjects

F. M. Pen'kov

Publications and source records attributed to F. M. Pen'kov.

5 recordsLinked to original sources

arXiv2014

Contribution of resonance tunneling of molecule to physical observables

Probabilities of resonant tunneling through a potential barrier are compared for a rigid molecule and an excited molecule. It is shown that the resonance spectrum is mainly governed by the transmission resonance spectrum of the rigid molecule. Analytical expressions for the probability for the tunneling of the rigid molecule through a barrier allow resonance-spectrum-averaged observables, including quantum diffusion, to be estimated.

quant-ph↗

arXiv2005

Differential Form of the Skornyakov--Ter-Martirosyan Equations

The Skornyakov--Ter-Martirosyan three-boson integral equations in momentum space are transformed into differential equations. This allows us to take into account quite directly the Danilov condition providing self-adjointness of the underlying three-body Hamiltonian with zero-range pair interactions. For the helium trimer the numerical solutions of the resulting differential equations are compared with those of the Faddeev-type AGS equations.

physics.atm-clus↗

arXiv2000

Metastable States of a Coupled Pair on a Repulsive Barrier

Resonance penetration of two coupled particles through a repulsive barrier is considered. It is shown that a local minimum of the total potential generates metastable bound states, and their spectrum determines the position of resonances in the penetration probability. It is pointed out that the probabilities of tunneling of two interacting particles from the false vacuum can be essentially higher than it has been assumed earlier.

hep-ph↗

arXiv1999

Quantum Transparency of Barriers for Structure Particles

Penetration of two coupled particles through a repulsive barrier is considered. A simple mechanism of the appearance of barrier resonances is demonstrated that makes the barrier anomalously transparent as compared to the probability of penetration of structureless objects. It is indicated that the probabilities of tunnelling of two interacting particles from a false vacuum can be considerably larger than it was assumed earlier.

hep-ph↗

arXiv1999

Underthreshold resonances in three-particle molecular systems

To determine the lifetimes of Efimov states of negative two-atomic ions, the problem of resonance scattering of a light particle on a pair of identical particles has been considered. An analytic expression has been obtained for resonance widths in the limit of forces of zero radius and low binding energies in pairs. Calculations are compared with the numerical solution of the Faddeev integral equations in a wide region of masses of the light particle. It is shown that the widths of underthreshold resonances in the scattering amplitude obtained from the integral equations with the Yamaguchi potential are well described by the analytic expression, which allows this expression to be used in the mass region inaccessible for numerical calculations. It has been concluded that the lifetime of highly excited negative molecular ions with a binding energy close to the threshold of disintegration is practically unlimited.

physics.atm-clus↗