The Relativistic Cornell-type Mechanism of Exotic Scalar Resonances
| Autor: | Yu. A. Simonov, M. S. Lukashov, A. M. Badalian |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
010308 nuclear & particles physics Scalar (mathematics) High Energy Physics - Lattice (hep-lat) Resonance FOS: Physical sciences 01 natural sciences symbols.namesake Formalism (philosophy of mathematics) High Energy Physics - Phenomenology High Energy Physics - Lattice High Energy Physics - Phenomenology (hep-ph) Excited state 0103 physical sciences symbols High Energy Physics::Experiment 010306 general physics Lagrangian Channel coupling Mathematical physics Free parameter |
| Zdroj: | Physical Review |
| DOI: | 10.48550/arxiv.2001.07113 |
| Popis: | The formalism of the coupled $q\bar q$ and the $\varphi\varphi ( \pi-\pi$, $K\bar K, \pi K,...$) scalar channels is formulated, taking into account the ground and radial excited $q\bar q$ poles. The basic role is shown to be played by the transition coefficients $k^{(I)} (q\bar q, |\varphi\varphi)$, which are calculated using the quark-chiral Lagrangian without free parameters. The resulting method, called the pole projection mechanism (PPM), ensures: 1) one resonance for each $\varphi\varphi$ channel from the basic $q\bar q$ pole, e.g. the $f_0 (500)$ resonance in the $\pi\pi$ channel; 2) a possibility to have two $\varphi\varphi$ resonances, coupled to the same $q\bar q$ state, when the channel coupling is taken into account in the meson-meson channels, which yields $f_0 (500)$ and $f_0(980)$ from the same $n\bar n$ pole around 1 GeV; 3) the strong pole shift down for special ($\pi\pi, \pi K)$ channels due to large transition coefficients $k^{(I)}$, computed in this formalism without free parameters. The parameters of calculated complex poles are in reasonable agreement with the experimental data of the resonances $f_0(500)$, $f_0(980)$, $a_0(980)$, $a_0(1450)$, $K^*_0(700)$, $K^*_0(1430)$, $f_0(1370)$ and $f_0(1710)$. Comment: v2: 22 pages, 5 figures; new explanations are added, several important insertions are made, the list of references is enlarged |
| Databáze: | OpenAIRE |
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