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

Ben H\"orz; Christian Walther Andersen; Colin Morningstar; John Bulava

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

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arxiv 1710.01557 v2 pith:BMNGUNPT submitted 2017-10-04 hep-lat

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

Christian Walther Andersen , John Bulava , Ben H\"orz , Colin Morningstar This is my paper

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keywords mathrmamplitudedeltaresonanceelasticlatticenucleon-pionscattering

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We present the first direct determination of meson-baryon resonance parameters from a scattering amplitude calculated using lattice QCD. In particular, we calculate the elastic $I=3/2$, $p$-wave nucleon-pion amplitude on 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 a Breit-Wigner fit to the amplitude gives $g^{\mathrm{BW}}_{\Delta N\pi}=19.0(4.7)$ in agreement with phenomenological determinations.

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