Search for baryon and lepton number violating decays $D^{+}\to \bar{\hat{I}}›(\bar{\hat{I}}{\pounds }^0)e^{+}$ and $D^{+}\to \hat{I}›(\hat{I}{\pounds }^0)e^{+}$

Abstract

Using a 2.93 fb${}^{-1}$ data sample of electron-positron collisions taken with the BESIII detector at a center-of-mass energy of 3.773 GeV, which corresponds to $(8296\pm 31\pm 64)\times 10^3{D}^{+}{D}^{-}$ pairs, we search for the baryon and lepton number violating decays $D^{+}\to \bar{\hat{I}}›(\bar{\hat{I}}{\pounds }^0)e^{+}$ and $D^{+}\to \hat{I}›(\hat{I}{\pounds }^0)e^{+}$. No obvious signals are found with the current statistics and upper limits on the branching fractions of these four decays are set at the level of $10^{-6}$ at 90% confidence level.