  We consider semiclassical Schr\"odinger operators acting in
$L^2(\mathbb{R}^d)$ with $d\geq3$. For these operators we establish a sharp
spectral asymptotics without full regularity. For the counting function we
assume the potential is locally integrable and that the negative part of the
potential minus a constant is one time differentiable and the derivative is
H\"older continues with parameter $\mu\geq1/2$. Moreover we also consider sharp
Riesz means of order $\gamma$ with $\gamma\in(0,1]$. Here we assume the
potential is locally integrable and that the negative part of the potential
minus a constant is two time differentiable and the second derivative is
H\"older continues with parameter $\mu$ that depends on $\gamma$.
