  Let $M$ be a compact manifold with an effective semi-free circle action whose
fixed point set has trivial normal bundle. We prove that its cotangent bundle
endowed with the canonical symplectic form has bounded Hofer-Zehnder sensitive
capacity. We give several examples like the product of any compact manifold
with $\S^n$ or a connected sum $\CP^n # ... # \CP^n$.
