Probing Hadronic Structure with The Decay $Δ\rightarrow Nl^+l^-$

Details Probing Hadronic Structure with The Decay $Δ\rightarrow Nl^+l^-$ Probing Hadronic Structure with The Decay $Δ\rightarrow Nl^+l^-$

1993-03-18

arxiv.org/abs/nucl-th/9303015v1

Phys.Rev.C48:917-919,1993

Physics

Nuclear Physics

Nuclear Theory

6 pages, 3 figures, UCSD/PTH 93-06, QUSTH-93-02, Duke-TH-93-48

Scientific paper

10.1103/PhysRevC.48.917

We compute the branching ratio for $\Delta\rightarrow Ne^+e^-$ and $\Delta\rightarrow N\mu^+\mu^-$ in chiral perturbation theory and find that both decays should be observable at CEBAF. With sufficiently low thresholds on the $e^+e^-$ invariant mass a branching ratio of $\sim 10^{-5}$ may be observed for $\Delta\rightarrow Ne^+e^-$. For the $\Delta\rightarrow N\mu^+\mu^-$ decay mode we predict a branching ratio of $3\times 10^{-7}$. The dependence of the M1 and E2 amplitudes on the momentum transfer will provide a useful test of chiral perturbation theory which predicts $\sim 20\%$ variation over the allowed kinematic range.

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