First Lattice Study of the $N$-$P_{11}(1440)$ Transition Form Factors

Abstract

Experiments at Jefferson Laboratory, MIT-Bates, LEGS, Mainz, Bonn, GRAAL, and Spring-8 offer new opportunities to understand in detail how nucleon resonance ($N^{\ast }$) properties emerge from the nonperturbative aspects of QCD. Preliminary data from CLAS collaboration, which cover a large range of photon virtuality $Q^2$ show interesting behavior with respect to $Q^2$ dependence: in the region $Q^2\le 1.5{GeV}^2$, both the transverse amplitude, $A_{1/2}(Q^2)$, and the longitudinal amplitude, $S_{1/2}(Q^2)$, decrease rapidly. In this work, we attempt to use first-principles lattice QCD (for the first time) to provide a model-independent study of the Roper-nucleon transition form factor.

arXiv comment4 pages, 2 figures, double column

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Cited by in corpus (23)

• Baryons as relativistic three-quark bound states
• First results from 2+1 dynamical quark flavors on an anisotropic lattice: light-hadron spectroscopy and setting the strange-quark mass
• Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction
• Electroexcitation of nucleon resonances
• A study of the $P_{11}(1440)$ and $D_{13}(1520)$ resonances from CLAS data on $ep\to e^{\prime }{\pi }^{+}{\pi }^{-}{p}^{\prime }$
• Electromagnetic Excitation of Nucleon Resonances
• Hybrid Baryons in QCD
• Valence quark contributions for the gamma N -> P11(1440) form factors
• A covariant model for the gamma N -> N(1535) transition at high momentum transfer
• Nucleon matrix elements using the variational method in lattice QCD
• Results from the N* program at JLab
• Nucleon resonances in Compton scattering
• Electromagnetic transition form factors of the Roper resonance in effective field theory
• Strange magnetic form factor of nucleon in heavy baryon chiral effective approach at next to leading order
• Transition form factors and helicity amplitudes for electroexcitation of negative- and positive parity nucleon resonances in a light-front quark model
• Constraining beyond the Standard Model nucleon isovector charges
• Global Data-Driven Determination of Baryon Transition Form Factors
• Investigations of hadron structure on the lattice
• Octet negative parity to octet positive parity electromagnetic transitions in light cone QCD
• Study of excited nucleon states at EBAC: status and plans
• Odd-Parity Nucleon Electromagnetic Transitions in Lattice QCD
• Meson Production and Baryon Resonances at CLAS
• $N^{\ast }$ Resonances in Lattice QCD from (mostly) Low to (sometimes) High Virtualities