Non-leptonic Weak Interaction in Magnetized Quark matter

We investigated the non-leptonic weak interaction in magnetic field. We discussed an improvement of previous method to analytical work out the rate for weak field case.Our result easily goes over to field-free limit.Then we calculated the reaction rate in strong magnetic field where the charged particles are confined to the lowest Landau level. A strong magnetic field strongly suppressed the rate,which will be foreseen to affect viscous dynamics in SQM .We also derived a few approximation formulae under given conditions that can be conveniently applied.