is allowed as these states must be produced in pairs through vector boson exchange and $S^0_R$ can be heavy. However, a single neutral scalar particle can be produced at the Tevatron in association with a charged scalar though $W^\pm$ exchange. The partonic production cross section for producing $S^\pm \, S^0_{I}$ or $S^\pm \, S^0_{R}$ (when the width is neglected) is \[wcross\] = () 1- \^[-2]{}, where $p$ is the center of mass momentum of one of the produced particles and $s$ is the partonic center of mass energy squared. We scan over the parameter space allowed by LEPII using this formula for the Tevatron production cross section (with MSTW 2008 PDF’s [@Martin:2009iq]) where the $W^\pm$ is produced off the valence $u,d$ quarks. The renormalization scale in what follows is always varied between $m_S/2$ and $2 \, m_S$. The cross sections as a function of mass are shown in Fig. 4.

The Tevatron can potentially constraint some of the allowed parameter space. Search strategies for pair production through weak boson fusion of charged $S^\pm$ particles that decay into $\bar{t} \, b \, \bar{b} \, t$ are also somewhat promising. In this case the production cross section for $m_S \sim 200 \, 