Charged current weak electroproduction of Delta resonance

Abstract

We study the weak production of $\Delta$ (i.e. $e^{-}+p\to {\Delta }^0+{\nu }_e$ and $e^{+}+p\to {\Delta }^{++}+{\bar{\nu }}_e$) in the intermediate energy range corresponding to the Mainz and TJNAF electron accelerators. The differential cross sections $\sigma (\theta )$ are found to be of the order of $10^{-39}$ cm${}^2$/sr, over a range of angles which increases with energy. The possibility of observing these reactions with the high luminosities available at these accelerators, and studying the weak N-$\Delta$ transition form factors through these reactions is discussed. The production cross section of N${}^{\ast }(1440)$ in the kinematic region of $\Delta$ production is also estimated and found to be small.

Comments: 19 pages, REVTEX, 4 figures