Black-hole concept of a point-like nucleus with supercritical charge
| dc.creator | Shabad, A. E. | |
| dc.date | 2005-02-15 | |
| dc.date.accessioned | 2026-07-07T10:50:31Z | |
| dc.date.available | 2026-07-07T10:50:31Z | |
| dc.description | The Dirac equation for an electron in the central Coulomb field of a point-like nucleus with the charge greater than 137 is considered. This singular problem, to which the fall-down onto the centre is inherent, is addressed using a new approach, based on a black-hole concept of the singular centre and capable of producing cut-off-free results. To this end the Dirac equation is presented as a generalized eigenvalue boundary problem of a self-adjoint operator. The eigenfunctions make complete sets, orthogonal with a singular measure, and describe particles, asymptotically free and delta-function-normalizable both at infinity and near the singular centre $r=0$. The barrier transmission coefficient for these particles responsible for the effects of electron absorption and spontaneous electron-positron pair production is found analytically as a function of electron energy and charge of the nucleus. The singular threshold behaviour of the corresponding amplitudes substitutes for the resonance behaviour, typical of the conventional theory, which appeals to a finite-size nucleus. | |
| dc.description | 22 pages, 5 figures, LATEX requires IOPART | |
| dc.identifier | https://arxiv.org/abs/hep-th/0502139 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0502139 | |
| dc.identifier | J.Phys.A38:7419,2005 | |
| dc.identifier | doi:10.1088/0305-4470/38/33/014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/184561 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.subject | Quantum Physics | |
| dc.title | Black-hole concept of a point-like nucleus with supercritical charge | |
| dc.type | text |