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@ARTICLE{Silvi:893066,
      author       = {Silvi, Giorgio and Paul, Srijit and Alexandrou, Constantia
                      and Krieg, Stefan and Leskovec, Luka and Meinel, Stefan and
                      Negele, John and Petschlies, Marcus and Pochinsky, Andrew
                      and Rendon, Gumaro and Syritsyn, Sergey and Todaro,
                      Antonino},
      title        = {${P}$-wave nucleon-pion scattering amplitude in the
                      $\Delta(1232)$ channel from lattice {QCD}},
      journal      = {Physical review / D},
      volume       = {103},
      number       = {9},
      issn         = {2470-0010},
      address      = {Melville, NY},
      publisher    = {Inst.},
      reportid     = {FZJ-2021-02538},
      pages        = {094508},
      year         = {2021},
      abstract     = {We determine the $\Delta(1232)$ resonance parameters using
                      lattice QCD and the L{\"u}scher method. The resonance occurs
                      in elastic pion-nucleon scattering with $J^P=3/2^+$ in the
                      isospin $I = 3/2$, $P$-wave channel. Our calculation is
                      performed with $N_f=2+1$ flavors of clover fermions on a
                      lattice with $L\approx 2.8$ fm. The pion and nucleon masses
                      are $m_\pi =255.4(1.6)$ MeV and $m_N=1073(5)$ MeV,
                      respectively, and the strong decay channel $\Delta
                      \rightarrow \pi N$ is found to be above the threshold. To
                      thoroughly map out the energy-dependence of the nucleon-pion
                      scattering amplitude, we compute the spectra in all relevant
                      irreducible representations of the lattice symmetry groups
                      for total momenta up to $\vec{P}=\frac{2\pi}{L}(1,1,1)$,
                      including irreps that mix $S$ and $P$ waves. We perform
                      global fits of the amplitude parameters to up to 21 energy
                      levels, using a Breit-Wigner model for the $P$-wave phase
                      shift and the effective-range expansion for the $S$-wave
                      phase shift. From the location of the pole in the $P$-wave
                      scattering amplitude, we obtain the resonance mass
                      $m_\Delta=1378(7)(9)$ MeV and the coupling
                      $g_{\Delta\text{-}\pi N}=23.8(2.7)(0.9)$.},
      cin          = {JSC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {511 - Enabling Computational- $\&$ Data-Intensive Science
                      and Engineering (POF4-511)},
      pid          = {G:(DE-HGF)POF4-511},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000655868700008},
      doi          = {10.1103/PhysRevD.103.094508},
      url          = {https://juser.fz-juelich.de/record/893066},
}