Open AccessRelativistic Expressions for the r.m.s. Radii of the λ-Particle Orbits in Hypernuclei and of the Corresponding Potential Energies
Author(s) -
G. Papadopoulos,
C. G. Koutroulos,
M. E. Grypeos
Publication year - 2020
Publication title -
hnps advances in nuclear physics
Language(s) - English
Resource type - Journals
eISSN - 2654-0088
pISSN - 2654-007X
DOI - 10.12681/hnps.2897
Subject(s) - physics , eigenvalues and eigenvectors , radius , bound state , woods–saxon potential , scalar (mathematics) , mathematical physics , quantum electrodynamics , quantum mechanics , mathematical analysis , mathematics , scattering , geometry , computer security , computer science
The root mean square radii of the Λ-particle orbits in hypemuclei are calculated semi-analytically for every bound state, using the Dirac equation with a scalar potential Us{r) and the fourth component of a vector potential Uv{f) in the case of rectangular shapes of these potentials with the same radius R.ln addition an analytic expression of the expectation value of the corresponding potential energy operator is derived. For the above quantities, expressions of the energy eigenvalues in terms of the potential parameters are needed and approximate formulae may be used, in certain cases. The variation of these quantities with the mass number is also investigated and numerical calculations are performed.