Abstract
A relativistic light-front quark model is used to describe both the elastic nucleon and nucleon-Roper transition form factors in a large \(Q^2\) range, up to 35 \(\hbox {GeV}^2\) for the elastic and up to 12 \(\hbox {GeV}^2\) for the resonance case. Relativistic three-quark configurations satisfying the Pauli exclusion principle on the light-front are used for the derivation of the current matrix elements. The Roper resonance is considered as a mixed state of a three-quark core configuration and a molecular \(N+\sigma \) hadron component. Based on this ansatz we obtain a realistic description of both processes, elastic and inelastic, in the sector of positive parity and show that existing experimental data are indicative of a composite structure of the Roper resonance. A useful generalization of this technique is suggested for description of negative parity nucleon resonances \(1/2^-,\,3/2^-,\,5/2^-\).
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This work was supported by the RFBR-DFG Grant No. 16-52-12019, by the DFG Grants Nos. FA-67-42-1 and GU-267/3-1, by the German Bundesministerium für Bildung und Forschung (BMBF) under Project 05P2015—ALICE at High Rate (BMBF-FSP 202): “Jet- and fragmentation processes at ALICE and the parton structure of nuclei and structure of heavy hadrons”, by Tomsk State University Competitiveness Improvement Program and the Russian Federation program “Nauka” (Contract No. 0.1526.2015, 3854).
This article belongs to the special issue “Nucleon Resonances”.
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Obukhovsky, I.T., Faessler, A., Gutsche, T. et al. Nucleon Resonance Electrocouplings from Light-Front Quark Models at \({\varvec{Q}}^2 \) up to 12 \(\hbox {GeV}^2\) . Few-Body Syst 57, 1001–1008 (2016). https://doi.org/10.1007/s00601-016-1141-x
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DOI: https://doi.org/10.1007/s00601-016-1141-x