Quark States Near a Threshold

dc.creatorBashinsky, S. V.
dc.creatorJaffe, R. L.
dc.date1996-10-17
dc.date.accessioned2026-07-07T04:00:33Z
dc.date.available2026-07-07T04:00:33Z
dc.descriptionWe reduce the problem of many-channel hadron scattering at nonrelativistic energies to calculations on the scale of a few fermis. Having thus disentangled kinematics from interior quark dynamics, we study their interplay when a quark state occurs near a hadronic threshold. Characteristic parameters, such as the observed peak width, the decay width, and the shape of a cross-section itself are highly affected by the threshold. A general pole-form expression for the S-matrix in an arbitrary background is given, and the pole structure of S is examined. We show that at a hadronic threshold two poles in S are generally important. We also classify the S-matrix pole structure considering an example where nonsingular coupled channels are closed at the threshold. The framework of our paper is the P-matrix formalism, which is reviewed and extended for use together with conventional methods of computing quark-gluon dynamics. Results and applications are illustrated for the doubly strange two-baryon system, the detailed analysis of which we postpone till our forthcoming paper.
dc.description18 pages, 4 figures, RevTeX, uses aps.sty, fps.sty, see also the publication Nucl.Phys.A625:167-191,1997
dc.identifierhttps://arxiv.org/abs/hep-ph/9610395
dc.identifierhttp://arxiv.org/abs/hep-ph/9610395
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/46583
dc.subjectHigh Energy Physics - Phenomenology
dc.titleQuark States Near a Threshold
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