Two-dimensional integrodifferential equations for unequal mass particle systems

This is the authors' abstract. We don't add key points for this paper.

The two-variable Integrodifferential Equation Approach (IDEA) valid for A nucleons is generalized to describe quantum mechanical systems consisting of A, unequal mass, particles. The method is based on an expansion of the wave function in Faddeev amplitudes for the various particle pairs and a subsequent expansion of them in terms of Potential Harmonics. Projecting the resulting Faddeev-type equations on a specific two-body space and spin-isospin channel one obtains coupled, two-variable, integrodifferential equations describing the system. These equations can be readily applied, for example, to hypernuclear systems such as the double hypernucleus ΛΛα which can be handled either as a three- or as a six-body problem. We demonstrate our approach by applying it to various single and double hypernuclei and compare the results to those obtained by other methods.