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New Members in the $0^+$ ($0^{++})$ Family
High Energy Physics - Phenomenology · Submitted 9 Feb 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find two sets of solutions with X mass predicted to be about 1820 MeV and 1760 MeV, respectively.
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The abstract, sentence by sentence
Recent BES data on $J/\psi \to \phi \pi\pi$ 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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Recent BES data on $J/\psi \to \phi \pi\pi$ indicate that there is a possible new spin-0 state ($f_0(1790)$) with a mass of $m=1790^{+40}_{-30} \mathrm{MeV}/\mathrm{c}^2$. | background 0.93 | 0.09 | 0.08 | hedged possibility 1.00 |
| s1 | 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. | contribution 0.81 | 0.79 | 0.20 | speculative 0.57 |
| s2 | 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 $X$. | contribution 0.34 | 0.57 | 0.19 | asserted 0.98 |
| s3 | Using known data, we estimate the ranges of the mixing parameters. | method 0.94 | 0.92 | 0.03 | asserted 0.89 |
| s4 | We find two sets of solutions with X mass predicted to be about 1820 MeV and 1760 MeV, respectively. | result 1.00 | 0.96 | 0.46 | asserted 0.96 |
| s5 | We also study implications on the decay properties of these new states. | contribution 0.95 | 0.90 | 0.05 | asserted 0.70 |
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The paper
Original abstract
Recent BES data on $J/\psi \to \phi \pi\pi$ 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.
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3 arXiv papers cite this in 4 sentences
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We note that the mixing scheme of Ref. [ref] with the truncated mixing matrix for the glueball and $qq̅$ part gives a similar result as Eq. ([ref]).
\chi_{c0,2} decay into light meson pairs and its implication of the scalar meson structures · $χ_c0,2→SS$ · 0.97
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