Excited $[{\bf 70, \ell^+}]$ baryons in large $N_c$ QCD

Details Excited $[{\bf 70, \ell^+}]$ baryons in large $N_c$ QCD Excited $[{\bf 70, \ell^+}]$ baryons in large $N_c$ QCD

2005-05-13

arxiv.org/abs/hep-ph/0505118v4

Phys.Lett. B631 (2005) 7-15

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 3 figures, LaTeX, uses espcrc1.sty (included), correspond with the published version

Scientific paper

10.1016/j.physletb.2005.09.076

The masses of the positive parity $[{\bf 70},0^+]$ and $[{\bf 70},2^+]$ non-strange baryons are calculated in large $N_c$ QCD by considering the most dominant operators in an $1/N_c$ expansion. The approach is based on the introduction of an excited core, obtained after the last particle (an excited quark) has been removed. Configuration mixing is neglected, for simplicity. Although being a sub-leading $1/N_c$ order, we find that the spin-spin interaction plays a dominant role in describing the data. The role of $N_c^ 0$ operators is also pointed out. We show how the contribution of the linear term in $N_c$, of the spin-spin and spin-orbit terms vary with the excitation energy.

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