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We present the first direct determination of meson-baryon resonanceparameters from a scattering amplitude calculated using lattice QCD. Inparticular, we calculate the elastic $I=3/2$, $p$-wave nucleon-pion amplitudeon a single ensemble of $N_{\mathrm{f}}=2+1$ Wilson-clover fermions with$m_{\pi}=280\mathrm{MeV}$ and $m_{K}=460\mathrm{MeV}$. At these quark masses,the $\Delta(1232)$ resonance pole is found close to the $N-\pi$ threshold and aBreit-Wigner fit to the amplitude gives $g^{\mathrm{BW}}_{\DeltaN\pi}=19.0(4.7)$ in agreement with phenomenological determinations.

The elastic $I=3/2$ $p$-wave nucleon-pion scattering amplitude and the $\Delta(1232)$ resonance from $N_{\mathrm{f}}=2+1$ lattice QCD