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We show that supersymmetric $R$-parity breaking ($\not R_p$) interactionsalways result in Flavor Changing Neutral Current (FCNC) processes. Within asingle coupling scheme, these processes can be avoided in either the charge$+2/3$ or the charge $-1/3$ quark sector, but not both. These processes areused to place constraints on \Rp couplings. The constraints on the first andthe second generations are better than those existing in the literature. The\Rp interactions may result in new top quark decays. Some of these violateelectron-muon universality or produce a surplus of $b$ quark events in$t\bar{t}$ decays. Results from the CDF experiment are used to bound these \Rpcouplings.Comment: LaTeX, 20 pages, spelling corrected from origina

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>R</mml:mi></mml:math>-parity violation in flavor-changing neutral current processes and top quark decays

R-parity violation in flavor-changing neutral current processes and top quark decays