Mass uncertainties of f 0 (600) and f 0 (1370) and their effects on determination of the quark and glueball admixtures of the I=0 scalar mesons
Mass uncertainties of f 0 (600) and f 0 (1370) and their effects on determination of the quark and glueball admixtures of the I=0 scalar mesons
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f 0 (600) 和 f 0 (1370) 的质量不确定性及其对 I=0 标量介子的夸克和胶球混合物测定的影响
DOI：
10.1103/physrevd.74.054030
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发表时间：
2006
影响因子：
5
通讯作者：
A. Fariborz
中科院分区：
文献类型：
--
作者：
A. Fariborz
Within a nonlinear chiral Lagrangian framework, the correlations between the quark and glueball admixtures of the isosinglet scalar mesons below 2 GeV and the current large uncertainties on the masses of ${f}_{0}(600)$ and ${f}_{0}(1370)$ are studied. The framework is formulated in terms of two scalar meson nonets (a two-quark nonet and a four-quark nonet) together with a scalar glueball. It is shown that, while some properties of these states are sensitive to the masses of ${f}_{0}(600)$ and ${f}_{0}(1370)$, several relatively robust conclusions can be made: ${f}_{0}(600)$, ${f}_{0}(980)$, and ${f}_{0}(1370)$ are admixtures of two- and four-quark components, with ${f}_{0}(600)$ being dominantly a nonstrange four-quark state, and ${f}_{0}(980)$ and ${f}_{0}(1370)$ having a dominant two-quark component. Similarly, ${f}_{0}(1500)$ and ${f}_{0}(1710)$ have considerable two- and four-quark admixtures, but in addition they have a large glueball component. For each state, a detailed analysis providing the numerical estimates of all components is given. It is also shown that this framework clearly favors the experimental values: ${m}^{\mathrm{expt}}[{f}_{0}(600)]l700\text{ }\text{ }\mathrm{MeV}$ and ${m}^{\mathrm{expt}}[{f}_{0}(1370)]=1300\char21{}1450\text{ }\text{ }\mathrm{MeV}$. Moreover, an overall fit to the available data shows a reciprocal substructure for ${f}_{0}(600)$ and ${f}_{0}(1370)$, and a linear correlation between their masses of the form $m[{f}_{0}(1370)]=0.29m[{f}_{0}(600)]+1.22\text{ }\text{ }\mathrm{GeV}$. The scalar glueball mass of 1.5\char21{}1.7 GeV is found in this analysis.
Within a nonlinear chiral Lagrangian framework, the correlations between the quark and glueball admixtures of the isosinglet scalar mesons below 2 GeV and the current large uncertainties on the masses of ${f}_{0}(600)$ and ${f}_{0}(1370)$ are studied. The framework is formulated in terms of two scalar meson nonets (a two-quark nonet and a four-quark nonet) together with a scalar glueball. It is shown that, while some properties of these states are sensitive to the masses of ${f}_{0}(600)$ and ${f}_{0}(1370)$, several relatively robust conclusions can be made: ${f}_{0}(600)$, ${f}_{0}(980)$, and ${f}_{0}(1370)$ are admixtures of two- and four-quark components, with ${f}_{0}(600)$ being dominantly a nonstrange four-quark state, and ${f}_{0}(980)$ and ${f}_{0}(1370)$ having a dominant two-quark component. Similarly, ${f}_{0}(1500)$ and ${f}_{0}(1710)$ have considerable two- and four-quark admixtures, but in addition they have a large glueball component. For each state, a detailed analysis providing the numerical estimates of all components is given. It is also shown that this framework clearly favors the experimental values: ${m}^{\mathrm{expt}}[{f}_{0}(600)]l700\text{ }\text{ }\mathrm{MeV}$ and ${m}^{\mathrm{expt}}[{f}_{0}(1370)]=1300\char21{}1450\text{ }\text{ }\mathrm{MeV}$. Moreover, an overall fit to the available data shows a reciprocal substructure for ${f}_{0}(600)$ and ${f}_{0}(1370)$, and a linear correlation between their masses of the form $m[{f}_{0}(1370)]=0.29m[{f}_{0}(600)]+1.22\text{ }\text{ }\mathrm{GeV}$. The scalar glueball mass of 1.5\char21{}1.7 GeV is found in this analysis.
影响因子：
3.1
作者：
T. Umekawa;K. Naito;M. Oka;M. Takizawa
通讯作者：
T. Umekawa;K. Naito;M. Oka;M. Takizawa