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The constraint on the $R$-parity violating supersymmetric interactions isdiscussed in the light of current experimental data of the electric dipolemoment of neutron, $^{129}$Xe , $^{205}$Tl, and $^{199}$Hg atoms, and YbF andThO molecules. To investigate the constraints without relying upon theassumption of the dominance of a particular combination of couplings over allthe rest, an extensive use is made of the linear programming method in the scanof the parameter space. We give maximally possible values for the EDMs of theproton, deuteron, $^3$He nucleus, $^{211}$Rn, $^{225}$Ra, $^{210}$Fr, and the$R$-correlation of the neutron beta decay within the constraints from thecurrent experimental data of the EDMs of neutron, $^{129}$Xe, $^{205}$Tl, and$^{199}$Hg atoms, and YbF and ThO molecules using the linear programmingmethod. It is found that the $R$-correlation of the neutron beta decay andhadronic EDMs are very useful observables to constrain definite regions of theparameter space of the $R$-parity violating supersymmetry.

Linear programming analysis of the $R$-parity violation within EDM-constraints