Enhancing Squark/Leptoquark Production by Increasing the HERA Beam Energies

The cross section for production of R-parity violating squarks ($\tilde{q}$) or leptoquarks ($LQ$) with masses above 200 GeV by positron-proton scattering at HERA can be substantially increased by a moderate increase of the beam energies. If, for example, the positron energy is raised from 27.5 to 32.5 GeV and the proton energy from 820 to 1000 GeV, the $\tilde{q}/LQ$ production cross section for masses of 200 - 230 GeV increases by a factor of about 2-6 and the search range for $\tilde{q}/LQ$ is extended by about 40 GeV to masses of 270 - 280 GeV. In this report event yields are presented for beam energies in the range $E_e = 27.5-35 GeV$ and $E_p = 820-1100 GeV$. Also presented is the rate of background events expected from Standard Model neutral and charged current $e^{\pm}p$ scattering.