Search for enhancements due to pion condensation precursors in (p,p′) reactions onC12

Cross sections for the ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}(p,p^{\prime })$ reaction leading to the $1^{+}$ states at 15.1 MeV ($T=1\mathrm{}$) and 12.7 MeV ($T=0\mathrm{}$) were measured at a bombarding energy of 402 MeV. These data, covering a range of momentum transfer $q$ from 0.45 to 2.65 ${\mathrm{fm}}^{-1\mathrm{}}$ ($0.6-3.7m_{\pi }$) provide a test of the effects, precursor to a pion condensate, predicted to be important for the $T=1\mathrm{}$ state near $q=2-3\mathrm{}{m}_{\pi }$. The cross sections for the two $1^{+}$ states are very similar for large $q$, perhaps indicating that the precursor effects are small.