Emission of a Neutrino Pair During Transitions of an Electron in the Field of the Nucleus of a Hydrogen-Like Atom in One Spatial Dimension

Journal Article · Wed Aug 15 04:00:00 EDT 2018 · Russian Physics Journal

DOI:https://doi.org/10.1007/S11182-018-1446-Y· OSTI ID:22869699

The Dirac equation for a particle – an electron with negative charge equal in magnitude to the elementary charge e{sub 1} in spacetime with one spatial dimension denoted as the z axis and in the field of a point-like charge (Ze{sub 1}) – the nucleus – with the one-dimensional potential φ{sub 1} = – (Ze{sub 1}) |z| (a one-dimensional hydrogen-like atom) is solved. The two-component wave function and the quantum values of the energy are expressed in terms of the Airy function and its zeros. Using the contact Lagrangian of the weak interaction with Fermi constant G{sub 1} = g{sub 1}ħc in such a space, where g{sub 1} is some number, the probability of emission per unit time of a neutrino pair (Ze{sub 1}){sup *}→(Ze{sub 1}) + νν{sup –} by the one-dimensional hydrogen-like atom, which turns out to be proportional to the square of the mass, is found. Prospects for the realization of the considered effect and its possible significance at various stages of the evolution of the Universe are discussed.

• OSTI ID: 22869699
• Journal Information: Russian Physics Journal, Journal Name: Russian Physics Journal Journal Issue: 4 Vol. 61; ISSN RPJOEB; ISSN 1064-8887
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AIRY FUNCTIONS
ATOMS
DIRAC EQUATION
ELECTRONS
EMISSION
FERMI INTERACTIONS
HYDROGEN
LAGRANGIAN FUNCTION
NEUTRINOS
NUCLEI
PROBABILITY
SPACE-TIME
UNIVERSE
WAVE FUNCTIONS