Comments on the Quark Content of the Scalar Meson $f_0(1370)$

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dc.creatorCheng, Hai-Yang
dc.date2002-12-25
dc.date.accessioned2026-07-07T10:33:13Z
dc.date.available2026-07-07T10:33:13Z
dc.descriptionBased on the measurements of $(D_s^+,D^+)\to f_0(1370)π^+$ we determine, in a model independent way, the allowed $s\bar s$ content in the scalar meson $f_0(1370)$. We find that, on the one hand, if this isoscalar resonance is a pure $n\bar n$ state [ $n\bar n\equiv(u\bar u+d\bar d)/\sqrt{2} ]$, a very large $W$-annihilation term will be needed to accommodate $D_s^+\to f_0(1370)π^+$. On the other hand, the $s\bar s$ component of $f_0(1370)$ should be small enough to avoid excessive $D_s^+\to f_0(1370)π^+$ induced from the external $W$-emission. Measurement of $f_0(1370)$ production in the decay $D_s^+\to K^+K^-π^+$ will be useful to test the above picture. For the decay $D^0\to f_0(1370)\bar K^0$ which is kinematically barely or even not allowed, depending on the mass of $f_0(1370)$, we find that the finite width effect of $f_0(1370)$ plays a crucial role on the resonant three-body decay $D^0\to f_0(1370)\bar K^0\toπ^+π^-\bar K^0$.
dc.description12 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/hep-ph/0212361
dc.identifierhttp://arxiv.org/abs/hep-ph/0212361
dc.identifierPhys.Rev.D67:054021,2003
dc.identifierdoi:10.1103/PhysRevD.67.054021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179034
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Experiment
dc.titleComments on the Quark Content of the Scalar Meson $f_0(1370)$
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