A lattice QCD study of pion-nucleon scattering in the Roper channel
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Final Accepted Manuscript
Affiliation
University of GrazRegensburg University
University of Ljubljana
Univ Arizona, Dept Phys, Tucson, AZ 85721 USA
Issue Date
2018-09
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SPRINGER WIENCitation
Leskovec, L., Lang, C.B., Padmanath, M. et al. Few-Body Syst (2018) 59: 95. https://doi.org/10.1007/s00601-018-1419-2Journal
FEW-BODY SYSTEMSRights
© Springer-Verlag GmbH Austria, part of Springer Nature 2018Abstract
We present a lattice QCD study of the puzzling positive-parity nucleon channel, where the Roper resonance N∗(1440) resides in experiment. The study is based on an ensemble of gauge configurations with Nf=2+1 Wilson-clover fermions with a pion mass of 156 MeV and lattice size L=2.9 fm. We use several qqq interpolating fields combined with Nπ and Nσ two-hadron operators in calculating the energy spectrum in the rest frame. Combining experimental Nπ phase shifts with elastic approximation and the Lüscher formalism suggests in the spectrum an additional energy level near the Roper mass mR=1.43 GeV for our lattice. We do not observe any such additional energy level, which implies that Nπ elastic scattering alone does not render a low-lying Roper resonance. The current status indicates that the N∗(1440) might arise as dynamically generated resonance from coupling to other channels, most notably the Nππ .Description
cf. https://arxiv.org/abs/1806.02363Note
12 month embargo; published online: 8 June 2018ISSN
0177-7963Version
Final accepted manuscriptSponsors
Slovenian Research Agency ARRS; Austrian Science Fund [FWF:I1313-N27]; Deutsche Forschungsgemeinschaft [SFB/TRR 55]; EU [MSCA-IF-EF-ST-744659]Additional Links
http://inspirehep.net/record/1676801ae974a485f413a2113503eed53cd6c53
10.1007/s00601-018-1419-2