Analytical solution for magnetic moments of Λ-hypernuclei in a relativistic approach

Abstract

The magnetic moments of [Formula: see text]-hypernuclei are the most interesting observables which provide a highly sensitive probe of lambda in the hypernuclei structure and also supply direct information on hyperon–nucleon interactions. In this work, in a relativistic approach we analytically determine the magnetic moment of several [Formula: see text]-hypernuclei such as [Formula: see text], [Formula: see text] and [Formula: see text] in their ground and excited states, i.e., the [Formula: see text], [Formula: see text] and [Formula: see text] states. For our analysis, we consider the central potential of Wood–Saxon and the spin-orbital potential and determine the wave function of hypernuclei. Then, we compute the Dirac, the anomalous and the total magnetic moments of the ground and excited states of [Formula: see text]-hypernuclei.