Left Hand Singularities, Hadron Form Factors and the Properties of the Sigma Meson

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dc.creatorXiao, Zhiguang
dc.creatorZheng, H. Q.
dc.date2000-11-21
dc.date2001-04-14
dc.date.accessioned2026-07-07T10:32:46Z
dc.date.available2026-07-07T10:32:46Z
dc.descriptionBy applying analyticity and single channel unitarity we derive a new formula which is useful to analyze the role of the left-hand singularities in hadron form factors and in the determination of the resonance parameters. Chiral perturbation theory is used to estimate the left-hand cut effects in $ππ$ scattering processes. We find that in the IJ=11 channel the left-hand cut effect is negligible and in the IJ=20 channel the phase shift is dominated by the left-hand cut effect. In the IJ=00 channel the left-hand cut contribution to the phase shift has the wrong sign comparing with the experimental data and therefore it necessitates the $σ$ resonance. The new experimental results from the E865 collaboration is crucial in reducing the uncertainty in the determination of the mass and width of the $σ$ resonance within our scheme.
dc.description24 pages, 1 tex file + 7 eps figures; The new experimental result from the E865 Collaboration is incorporated
dc.identifierhttps://arxiv.org/abs/hep-ph/0011260
dc.identifierhttp://arxiv.org/abs/hep-ph/0011260
dc.identifierNucl.Phys.A695:273-294,2001
dc.identifierdoi:10.1016/S0375-9474(01)01100-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/178867
dc.subjectHigh Energy Physics - Phenomenology
dc.titleLeft Hand Singularities, Hadron Form Factors and the Properties of the Sigma Meson
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