Proton Decay with a Light Gravitino or Axino
  We consider the proton decay in supersymmetric models with a gravitino or axino lighter than the proton. This consideration leads to a stringent limit on the R parity and B violating Yukawa coupling of the superpotential operator U^c_i D^c_j D^c_k as $\lambda"_{112} < 10^{-15} (m_{3/2}/eV)$ for a light gravitino, and $\lambda"_{112} < 10^{-15} (F_a/ 10^{10} GeV)$ for a light DFSZ axino. For hadronic axino, the constraint is weakened by the factor of 10^{3}. 
Kiwoon Choi, Eung Jin Chun and Jae Sik Lee