Is the $f_0(600)$ meson a dynamically generated resonance? -- a lesson learned from the O(N) model and beyond

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dc.creatorGuo, Zhi-Hui
dc.creatorXiao, L. Y.
dc.creatorZheng, H. Q.
dc.date2006-10-31
dc.date2007-06-11
dc.date.accessioned2026-07-07T11:27:15Z
dc.date.available2026-07-07T11:27:15Z
dc.descriptionO(N) linear $σ$ model is solvable in the large $N$ limit and hence provides a useful theoretical laboratory to test various unitarization approximations. We find that the large $N_c$ limit and the $m_σ\to \infty$ limit do not commute. In order to get the correct large $N_c$ spectrum one has to firstly take the large $N_c$ limit. We argue that the $f_0(600)$ meson may not be described as generated dynamically. On the contrary, it is most appropriately described at the same level as the pions, i.e, both appear explicitly in the effective lagrangian. Actually it is very likely the $σ$ meson responsible for the spontaneous chiral symmetry breaking in a lagrangian with linearly realized chiral symmetry.
dc.description15 pages, 3 figurs; references added; discussions slightly modified; revised version accepted by IJMPA
dc.identifierhttps://arxiv.org/abs/hep-ph/0610434
dc.identifierhttp://arxiv.org/abs/hep-ph/0610434
dc.identifierInt.J.Mod.Phys.A22:4603-4616,2007
dc.identifierdoi:10.1142/S0217751X0703710X
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196089
dc.subjectHigh Energy Physics - Phenomenology
dc.titleIs the $f_0(600)$ meson a dynamically generated resonance? -- a lesson learned from the O(N) model and beyond
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