Dependence on the mass number of energy quantities of a Λ in hypernuclei with the cosh and the Gaussian potential

The Λ binding energies obtained from the (π+, K+) data are analyzed with the aid of suitable Λ-nucleus potentials. Exact and approximate analytic expressions, as functions of the mass number, for the binding energy and other energy quantities of a Λ hyperon in hypernuclei in ground and excited states are proposed and the region of their validity is discussed. The density dependence of the Λ-nucleus potential is taken into account in an approxiamte way and it turns out that its role is essential for a reliable description of the recent hypernuclear data. The formulas for the ground state Λ energy are used to derive approximate expressions for the Λ binding energy in double Λ hypernuclei