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arXiv · 0803.3020

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

Huey-Wen Lin·Saul D. Cohen·Robert G. Edwards·David G. Richards
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Abstract

Experiments at Jefferson Laboratory, MIT-Bates, LEGS, Mainz, Bonn, GRAAL, and Spring-8 offer new opportunities to understand in detail how nucleon resonance ($N^*$) 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.

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Huey-Wen Lin, Saul D. Cohen, Robert G. Edwards, David G. Richards. 2008-03-20. First Lattice Study of the $N$-$P_{11}(1440)$ Transition Form Factors. https://doi.org/10.1103/physrevd.78.114508

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