Optimal $\beta$-beam at the CERN-SPS

Abstract

A $\beta$-beam with maximum $\gamma =150$ (for $\helio$ ions) or $\gamma =250$ (for $\neon$) could be achieved at the CERN-SPS. We study the sensitivity to ${\theta }_{13}$ and $\delta$ of such a beam as function of $\gamma$, optimizing with the baseline constrained to CERN-Frejus (130 km), and also with simultaneous variation of the baseline. These results are compared to the {\it standard} scenario previously considered, with lower $\gamma =60/100$, and also with a higher $\gamma \sim 350$ option that requires a more powerful accelerator. Although higher $\gamma$ is better, loss of sensitivity to ${\theta }_{13}$ and $\delta$ is most pronounced for $\gamma$ below 100.

22 pages

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