Rotating QCD string and the meson spectrum |
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| Affiliation: | 1. Chemistry Department, Nuclear Research Centre Negev, Beer-Sheva, Israel;2. Chemical Sciences Department, the Center for Radical Reactions and the Schlesinger Family Center for Compact Accelerators, Radiation Sources and Applications, Ariel University, Ariel, Israel;3. Chemistry Department, Ben-Gurion University, Beer-Sheva, Israel;1. Department of Environmental Medicine and Behavioral Science, Kindai University Faculty of Medicine, Osakasayama 589-8511, Japan;2. Sick-house Medical Science Laboratory, Division of Basic Research, Louis Pasteur Center for Medical Research, Kyoto 606-8225, Japan;3. Department of Environmental Health, National Institute of Public Health, Wako 351-0197, Japan |
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| Abstract: | The spectra of light–light and heavy–light mesons are described by spinless Salpeter equation and Dirac equation respectively, which predict linear dependence of the meson mass squared M2 on angular momentum J and number of radial nodes n. Both spectra are computed by the WKB method and shown to agree with exact numerical data within few percent even for the lowest levels. The drawback of Salpeter and Dirac equation is that (inverse) Regge slopes do not coincide with the string ones, 2πσ and πσ respectively, because the string dynamics is not taken into account properly. The lacking string rotation is introduced via effective Hamiltonian derived from QCD which generates linear Regge trajectories for light mesons with the correct string slope. |
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