Pions in Nuclei and Manifestations of Supersymmetry in Neutrinoless   Double Beta Decay
  We examine the pion realization of the short ranged supersymmetric (SUSY) mechanism of neutrinoless double beta decay. It originates from the R-parity violating quark-lepton interactions of the SUSY extensions of the standard model of the electroweak interactions. We argue that pions are dominant SUSY mediators in neutrinoless double beta decay. The corresponding nuclear matrix elements for various isotopes are calculated within the proton-neutron renormalized quasiparticle random phase approximation. We define those isotopes which are most sensitive to the SUSY signal and outlook the present experimental situation with the double beta decay searches for the SUSY. Upper limits on the R-parity violating 1st generation Yukawa coupling are derived from various double beta decay experiments. 
Amand Faessler, Sergey Kovalenko and Fedor Simkovic