New enhanced tunneling in nuclear processes

Abstract

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.

Multipolar Approach for Description of Bremsstrahlung During α -Decay and Unified Formula of the Bremsstrahlung Probability

“…Starting from eqs. (15) and (16), and using the found differential and integral electrical and magnetic components (30) and (31), I calculate:…”

“…Enough well description of experimental data has already been achieved in such approach, where one can note a resent success in agreement between theory and experiment for the controversial nucleus 210 Po [8,9]. Perspectives are certain in study of dynamics of the α-decay with some analysis of the bremsstrahlung [5,10,11], in study of dynamics of tunneling in the α-decay [12,13,14,15], in research of peculiarities of the polarized bremsstrahlung during α-decay and influence of electron shells on it [16], in effect [17] called as Münchhausen effect which increases penetrability of the barrier due to charged-particle emission during its tunneling and which could be interesting for further study of the photon bremsstrahlung during tunneling in the α-decay. However, the fully quantum approach (starting from [18] and then [19,20]) seems to be the most accurate and motivated from the physical point of view in description of emission of photons, to be the richest in study of quantum properties and new effects.…”

Angular analysis of bremsstrahlung in α-decay

“…One can note models of calculations of the Br spectra in the α-decay, developed on the basis of quantum electrodynamics with use of perturbation theory: the first paper [6] where a general quantum-mechanical formalism of the calculation of the Br spectra in the α-decay is proposed and the Br spectrum for 210 Po inside the photons energy region up to 200 keV was estimated (even until the fulfillment of the first experiments); essentially improved models in the dipole approximation [7,8] and in the multipolar expansion [9] of photons current (wave function) with application of the Fermi golden rule; an approach [10] of the calculation of the Br spectra with realistic barriers of the α-decay), models [11,12,13,8] developed in semiclassical approximation (see also the Br spectra calculations in [3]), instant accelerated models [1,9] constructed on the basis of classical electrodynamics (see also [12]), methods [13,14,15,11,12], directed on a nonstationary description of the α-decay with the accompanying Br and the calculations of such non-stationary characteristics as tunneling time. One can recall also papers [16,17,18,19] with study of dynamics of subbarrier tunneling in the α-decay; an effect, opened in [20] and named Münchhausen effect, which increases the barrier penetrability due to charged-particle emission during its tunneling and which can be extremely interesting for further study of the photon bremsstrahlung during subbarier tunneling in the α-decay). However, one needs to say that at this stage the calculations of the Br spectra by all these approaches are reduced to obtaining their integral (or averaged by angles) values and, therefore, they do not allow to fulfill an angular analysis of the experimental Br spectra (here, one can quote an approach in [14] based on classical electrodynamics, which shows a way for obtaining the angular spectra (see (15) and (17), p. 999), however here we shall use the direct quantum-mechanical approach of the Br spectra calculation, which describes the quantum effect of the subbarrier Br more precisely).…”

Euclidean resonance in a magnetic field

“…One should note that Euclidean resonance is not only a property of a static potential barrier in a magnetic field but also occurs in tunneling through nonstationary barriers [3,18,19,20,21]. In the both cases an important issue is a formation of a phase of the wave function in the process of the underbarrier motion.…”