TY - JOUR
T1 - P-wave nucleon-pion scattering amplitude in the Δ(1232) channel from lattice QCD
AU - Silvi, Giorgio
AU - Paul, Srijit
AU - Alexandrou, Constantia
AU - Krieg, Stefan
AU - Leskovec, Luka
AU - Meinel, Stefan
AU - Negele, John
AU - Petschlies, Marcus
AU - Pochinsky, Andrew
AU - Rendon, Gumaro
AU - Syritsyn, Sergey
AU - Todaro, Antonino
N1 - Funding Information:
This research used resources of the National Energy Research Scientific Computing Center (NERSC), a U.S. Department of Energy Office of Science User Facility operated under Contract No. DE-AC02-05CH11231. S. K. is supported by the Deutsche Forschungsgemeinschaft Grant No. SFB-TRR 55. S. K. and G. S. were partially funded by the IVF of the HGF. L. L. acknowledges support from the U.S. Department of Energy, Office of Science, through Contracts No. DE-SC0019229 and No. DE-AC05-06OR23177 (JLAB). S. M. is supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics under Award No. DE-SC0009913. J. N. and A. P. acknowledge support by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics under Grants No. DE-SC-0011090 and No. DE-SC0018121, respectively. M. P. gratefully acknowledges support by the Sino-German collaborative research center CRC-110. S. P. is supported by the Horizon 2020 of the European Commission research and innovation program under the Marie Sklodowska-Curie Grant Agreement No. 642069. G. R. is supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, under Contract No. DE-SC0012704 (B. N. L.). S. S. thanks the RIKEN BNL Research Center for support. A. T. is supported by the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska Curie European Joint Doctorate STIMULATE, Grant No. 765048. We acknowledge the use of the USQCD software QLUA for the calculation of the correlators.
Funding Information:
This research used resources of the National Energy Research Scientific Computing Center (NERSC), a U.S. Department of Energy Office of Science User Facility operated under Contract No. DE-AC02-05CH11231. S. K. is supported by the Deutsche Forschungsgemeinschaft Grant No. SFB-TRR 55. S. K. and G. S. were partially funded by the IVF of the HGF. L. L. acknowledges support from the U.S. Department of Energy, Office of Science, through Contracts No. DE-SC0019229 and No. DE-AC05- 06OR23177 (JLAB). S.M. is supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics under Award No. DE-SC0009913. J. N. and A. P. acknowledge support by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics under Grants No. DE-SC-0011090 and No. DE-SC0018121, respectively. M. P. gratefully acknowledges support by the Sino-German collaborative research center CRC-110. S. P. is supported by the Horizon 2020 of the European Commission research and innovation program under the Marie Sklodowska-Curie Grant Agreement No. 642069. G. R. is supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, under Contract No. DE-SC0012704 (B. N. L.). S. S. thanks the RIKEN BNL Research Center for support. A. T. is supported by the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska Curie European Joint Doctorate STIMULATE, Grant No. 765048. We acknowledge the use of the USQCD software QLUA for the calculation of the correlators.
Publisher Copyright:
© 2021 American Physical Society. All rights reserved.
PY - 2021/5/1
Y1 - 2021/5/1
N2 - We determine the Δ(1232) resonance parameters using lattice QCD and the Lüscher method. The resonance occurs in elastic pion-nucleon scattering with JP= 3/2+in the isospin I = 3/2, P-wave channel. Our calculation is performed with Nf= 2 + 1 flavors of clover fermions on a lattice with L ≈ 2.8 fm. The pion and nucleon masses are mπ= 255.4 (1.6) MeV and mN= 1073 (5) MeV, espectively, and the strong decay channel Δ πNis 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 P→= 2π/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 mΔ= 1378(7)(9) MeV and the coupling gΔ-πN= 23.8(2.7)(0.9).
AB - We determine the Δ(1232) resonance parameters using lattice QCD and the Lüscher method. The resonance occurs in elastic pion-nucleon scattering with JP= 3/2+in the isospin I = 3/2, P-wave channel. Our calculation is performed with Nf= 2 + 1 flavors of clover fermions on a lattice with L ≈ 2.8 fm. The pion and nucleon masses are mπ= 255.4 (1.6) MeV and mN= 1073 (5) MeV, espectively, and the strong decay channel Δ πNis 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 P→= 2π/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 mΔ= 1378(7)(9) MeV and the coupling gΔ-πN= 23.8(2.7)(0.9).
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U2 - 10.1103/PhysRevD.103.094508
DO - 10.1103/PhysRevD.103.094508
M3 - Article
AN - SCOPUS:85106331364
SN - 2470-0010
VL - 103
JO - Physical Review D
JF - Physical Review D
IS - 9
M1 - 094508
ER -