New Members in the $0^+$ ($0^{++})$ Family

dc.creatorHe, Xiao-Gang
dc.creatorLi, Xue-Qian
dc.creatorLiu, Xiang
dc.creatorZeng, Xiao-Qiang
dc.date2006-02-09
dc.date2006-02-14
dc.date.accessioned2026-07-07T10:44:44Z
dc.date.available2026-07-07T10:44:44Z
dc.descriptionRecent BES data on $J/ψ\to ϕππ$ indicate that there is a possible new spin-0 state ($f_0(1790)$) with a mass of $m=1790^{+40}_{-30} \mathrm{MeV}/\mathrm{c}^2$. Assuming it to be an iso-singlet $0^+(0^{++})$, we propose a new mixing scheme to describe this and the other three known iso-singlet $f_0(1370)$, $f_0(1500)$, $f_0(1710)$ states by adding iso-singlet hybrid states to the usual basis of two iso-singlet quarkonia and one glueball. Since there are two iso-singlet hybrid states, $(u\bar u+d\bar d)g/\sqrt 2$ and $s\bar sg$, this new basis implies existence of another iso-singlet state $X$. Using known data, we estimate the ranges of the mixing parameters. We find two sets of solutions with X mass predicted to be about 1820 MeV and 1760 MeV, respectively. We also study implications on the decay properties of these new states.
dc.description16 pages, 1 figure, 3 tables. More reference added and text re-arranged
dc.identifierhttps://arxiv.org/abs/hep-ph/0602075
dc.identifierhttp://arxiv.org/abs/hep-ph/0602075
dc.identifierPhys.Rev.D73:051502,2006
dc.identifierdoi:10.1103/PhysRevD.73.051502
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182701
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Experiment
dc.subjectNuclear Experiment
dc.subjectNuclear Theory
dc.titleNew Members in the $0^+$ ($0^{++})$ Family
dc.typetext

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