Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-10-21
Phys.Lett. B554 (2003) 28-32
Physics
High Energy Physics
High Energy Physics - Phenomenology
Four pages
Scientific paper
10.1016/S0370-2693(02)03274-4
Relations between nucleon, $\Delta$ and nucleon-$\Delta$ electromagnetic properties associated with chiral physics which have been derived in a pure large-$N_c$ limit are greatly modified in a combined large $N_c$ and chiral limits; the large $N_c$ relations are valid for $(M_\Delta-M_N)/m_\pi <<1$. The E2/M1 ratio for the nucleon-$\Delta$ transition is shown to scale as $\epsilon^{-1}$ (with $\epsilon\sim 1/N_c$, $\epsilon \sim m_\pi/\Lambda $ with $\Lambda$ a typical hadronic scale) in the combined large $N_c$ and chiral expansions as opposed to $N_c^{-2}$ in the pure large $N_c$ expansion.
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