On formation of long-living states

The motion of a particle in the potential well is studied when the particle is attached to the infinite elastic string. This is generic with the problem of dissipative quantum mechanics investigated by Caldeira and Leggett. Besides the dissipative motion there is another scenario of interaction of the string with the particle attached. Stationary particle-string states exist with string deformations accompanying the particle. This is like polaronic states in solids. Our polaronic states in the well are non-decaying and with continuous energy spectrum. Perhaps these states have a link to quantum electrodynamics. Quantum mechanical wave function, singular on some line, is smeared out by electron "vibrations" due to the interaction with photons. In those anomalous states the smeared singularity position would be analogous to the place where the particle is attached to the string

Anomalous electron states

Unexpected electron states in atom are proposed. The states are bound to the electrostatic field of atomic nucleus cut off on its size. In frameworks of relativistic quantum mechanics these states are singular and thus non-physical. When the atom is in a solid, electron-phonon interaction cuts the singularity off turning the states into physical ones (anomalous). In the anomalous states the electron is heavily dressed by a polaronic cloud with a large number of virtual phonons. These states are additional to conventional atomic ones. Under usual experimental conditions spontaneous creation of anomalous states is impossible since one should form a very multi-phonon state. An artificial creation of the anomalous state can be done through formation in a solid of so-called key state of the electron and phonons. The energy release in that process in lead is in the range of tens of $MeV$ per atom

New enhanced tunneling in nuclear processes

The small sub-barrier tunneling probability of nuclear processes can be dramatically enhanced by collision with incident charged particles. Semiclassical methods of theory of complex trajectories have been applied to nuclear tunneling, and conditions for the effects have been obtained. We demonstrate the enhancement of αparticle decay by incident proton with energy of about 0.25 MeV. We show that the general features of this process are common for other sub-barrier nuclear processes and can be applied to nuclear fission

New Enhanced Tunneling in Nuclear Processes

The small sub-barrier tunneling probability of nuclear processes can be dramatically enhanced by collision with incident charged particles. Semiclassical methods of theory of complex trajectories have been applied to nuclear tunneling, and conditions for the effects have been obtained. We demonstrate the enhancement of alpha particle decay by incident proton with energy of about 0.25 MeV. We show that the general features of this process are common for other sub-barrier nuclear processes and can be applied to nuclear fission.Comment: RevTex4, 2 figure