$γ^\ast N \to N(1710)$ transition at high momentum transfer

Abstract

In a relativistic quark model we study the structure of the $N(1710)$ resonance, and the $γ^\ast N \to N(1710)$ reaction focusing on the high momentum transfer region, where the valence quark degrees of freedom are expected to be dominant. The $N(1710)$ resonance, a state with spin 1/2 and positive parity ($J^P = \frac{1}{2}^+$), can possibly be interpreted as the second radial excitation of the nucleon, after the Roper, $N(1440)$. We calculate the $γ^\ast N \to N(1710)$ helicity amplitudes, and predict that they are almost identical to those of the $γ^\ast N \to N(1440)$ reaction in the high momentum transfer region. Thus, future measurement of the helicity amplitudes for the $γ^\ast N \to N(1710)$ reaction can give a significant hint on the internal structure of the $N(1710)$ state.

Version acepted for publication at PRD. Small changes. 10 pages, 2 figures