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

Preprint number: CP3-Origins-2017-40 DNRF90
Authors: Christian Walther Andersen (CP3-Origins & IMADA), John Bulava (CP3-Origins & IMADA), Ben Hoerz (U. Mainz), and Colin Morningstar (Carnegie Mellon U.)

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We present the first direct lattice QCD calculation of a resonant meson-baryon scattering amplitude. In particular, we calculate the elastic I = 3/2, p-wave nucleon-pion amplitude on a single ensemble of Nf = 2+1 Wilson-clover fermions with mπ = 280MeV and mK = 460MeV. At these quark masses, the ∆(1232) resonance pole is found close to the N−π threshold and a Breit-Wigner
fit to the amplitude gives g ∆N π = 32.2(3.7) in agreement with phenomenological determinations.