Production of excited double hypernuclei via Fermi breakup of excited strange systems

Precise spectroscopy of multi-strange hypernuclei provides a unique chance to explore the hyperon-hyperon interaction. In the present work we explore the production of excited states in double hypernuclei following the micro-canonical break-up of an initially excited double hypernucleus which is created by the absorption and conversion of a stopped ${\mathrm{\Xi }}^{-}$ hyperon. Rather independent on the spectrum of possible excited states in the produced double hypernuclei the formation of excited states dominates in our model. For different initial target nuclei which absorb the ${\mathrm{\Xi }}^{-}$, different double hypernuclei nuclei dominate. Thus the ability to assign the various observable $\gamma$-transitions in a unique way to a specific double hypernuclei by exploring various light targets as proposed by the {\Panda} collaboration seems possible. We also confront our predictions with the correlated pion spectra measured by the E906 collaboration.