Abstract
The {alpha}-decay of the nucleus may cause atomic ionization. One of the basic assumptions of Migdal`s original paper, which is the prototype of all later calculations for this process, is to treat the {alpha}-particle outside the nuclear region classically as a point charge moving along a definite trajectory. In contrast to this picture, in the standard quantum mechanical model of the {alpha}-decay the {alpha}-particle is represented by a wave function which, after tunneling through the Coulomb barrier at the nuclear surface, propagates outwards as a spherical wave. These two pictures are compared within a three-body model, the conditions under which the full quantum mechanical calculation and its semiclassical counterpart give similar results are clarified and the origin of their possible discrepancies are pointed out. (R.P.) 8 refs.
Citation Formats
Revai, J, and Nogami, Y.
On the theory of atomic ionization following alpha decay.
Hungary: N. p.,
1992.
Web.
Revai, J, & Nogami, Y.
On the theory of atomic ionization following alpha decay.
Hungary.
Revai, J, and Nogami, Y.
1992.
"On the theory of atomic ionization following alpha decay."
Hungary.
@misc{etde_10119708,
title = {On the theory of atomic ionization following alpha decay}
author = {Revai, J, and Nogami, Y}
abstractNote = {The {alpha}-decay of the nucleus may cause atomic ionization. One of the basic assumptions of Migdal`s original paper, which is the prototype of all later calculations for this process, is to treat the {alpha}-particle outside the nuclear region classically as a point charge moving along a definite trajectory. In contrast to this picture, in the standard quantum mechanical model of the {alpha}-decay the {alpha}-particle is represented by a wave function which, after tunneling through the Coulomb barrier at the nuclear surface, propagates outwards as a spherical wave. These two pictures are compared within a three-body model, the conditions under which the full quantum mechanical calculation and its semiclassical counterpart give similar results are clarified and the origin of their possible discrepancies are pointed out. (R.P.) 8 refs.}
place = {Hungary}
year = {1992}
month = {Mar}
}
title = {On the theory of atomic ionization following alpha decay}
author = {Revai, J, and Nogami, Y}
abstractNote = {The {alpha}-decay of the nucleus may cause atomic ionization. One of the basic assumptions of Migdal`s original paper, which is the prototype of all later calculations for this process, is to treat the {alpha}-particle outside the nuclear region classically as a point charge moving along a definite trajectory. In contrast to this picture, in the standard quantum mechanical model of the {alpha}-decay the {alpha}-particle is represented by a wave function which, after tunneling through the Coulomb barrier at the nuclear surface, propagates outwards as a spherical wave. These two pictures are compared within a three-body model, the conditions under which the full quantum mechanical calculation and its semiclassical counterpart give similar results are clarified and the origin of their possible discrepancies are pointed out. (R.P.) 8 refs.}
place = {Hungary}
year = {1992}
month = {Mar}
}