Model-independent approach as a tool of studying chiral symmetry
| dc.creator | Surovtsev, Yu. S. | |
| dc.creator | Krupa, D. | |
| dc.creator | Nagy, M. | |
| dc.date | 2001-04-20 | |
| dc.date.accessioned | 2026-07-25T18:20:59Z | |
| dc.description | A simultaneous analysis (in the model-independent approach) of the $ππ$ scattering (from the threshold to 1.9 GeV) and of the $ππ\to K\overline{K}$ process (from the threshold to $\sim$ 1.46 GeV) is carried out in channel with $I^GJ^{PC}=0^+0^{++}$. The existence of the $f_0(665)$ state with properies of the $σ$-meson is proved. An indication for the glueball nature of the $f_0(1500)$ is obtained. A minimum scenario of the simultaneous description of the processes $ππ\toππ,K\overline{K}$ does without the ${f_0}(1370)$ resonance. A version including this state is also considered. In this case the ${f_0}(1370)$ resonance has the dominant $s{\bar s}$ component (the ratio of its coupling constant with the $ππ$ channel to the one with the $K\overline{K}$ channel is 0.12). The coupling constants of the observed states with the $ππ$ and $K\overline{K}$ systems and the $ππ$ and $K\overline{K}$ scattering lengths are obtained. A parameterless description of the $ππ$ background is given by allowance for the left-hand branch-point in the uniformizing variable. On the basis of this and of the fact that all the adjusted parameters for the $ππ$ scattering are only the positions of poles describing resonances, it is concluded that our model-independent approach is a valuable tool for studying the realization schemes of chiral symmetry. The existence of the $f_0(665)$ state and the obtained $ππ$-scattering length ($a_0^0\approx 0.27 m_{π^+}^{-1}$) seem to suggest the linear realization of chiral symmetry. | |
| dc.description | 14 pages, LaTex, 5 figures; Talk given at the Int'l Confefence "Hadron Structure' 2000", Stara Lesná, Slovak Republic, October 2-8, 2000 | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0104206 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0104206 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/54950 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Model-independent approach as a tool of studying chiral symmetry | |
| dc.type | text |