Chiral symmetry and the Delta-Nucleon transition form factors

Details Chiral symmetry and the Delta-Nucleon transition form factors Chiral symmetry and the Delta-Nucleon transition form factors

1998-10-21

arxiv.org/abs/hep-ph/9810426v3

Phys.Rev. D60 (1999) 054022

Physics

High Energy Physics

High Energy Physics - Phenomenology

37 pages, 12 figures

Scientific paper

10.1103/PhysRevD.60.054022

The three complex form factors entering the $\Delta\to N\gamma^\ast$ vertex are calculated to ${\cal O}(\epsilon^3)$ in the framework of a chiral effective theory with explicit \Delta(1232) degrees of freedom included. It is shown that the low q^2 behavior of the form factors is governed by $\pi N$, $\pi\Delta$ loop effects. Predictions are given for the q^2-dependence of the three transition-multipoles $M1(q^2), E2(q^2), C2(q^2)$. Furthermore, the role of presently unknown low energy constants that affect the values of the multipole ratios EMR(q^2) and CMR(q^2) is elucidated.

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