Two photon decay of the glueball and scalar isoscalar mesons in a scaled NJL model |
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| Institution: | 1. Instituto de Fisica Teorica, Universidad Autonoma de Madrid, Spain;2. Université de Liège, Institut de Physique B5, Sart Tilman, B-4000 Liège 1, Belgium;1. Department of Construction and Manufacturing Engineering, University of Oviedo, Asturias, Spain;2. INEGI, Universidade do Porto, Campus FEUP, Rua Dr. Roberto Frias 400, 4200-465 Porto, Portugal;3. Department of Marine Science and Technology, University of Oviedo, Asturias, Spain;4. FEUP, Universidade do Porto, Rua Dr. Roberto Frias s/n, 4200-465 Porto, Portugal;5. Department of Design and Engineering, Bournemouth University, Poole BH12 5BB, UK;1. Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China;2. School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, Hangzhou 310024, China;3. School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, China;4. School of Nuclear Science and Technology, University of Chinese Academy of Sciences, Beijing 100049, China;1. Department of Construction and Manufacturing Engineering, University of Oviedo, Asturias, Spain;2. INEGI, Universidade do Porto, Campus FEUP, Rua Dr. Roberto Frias 400, 4200-465 Porto, Portugal;3. Department of Design and Engineering,Bournemouth University, Poole BH12 5BB,UK;4. FEUP, Universidade do Porto, Rua Dr. Roberto Frias s/n, 4200-465 Porto, Portugal;1. Dept. Matemáticas, Facultad de Ciencias, Univ. of Huelva, Spain;2. Departament de Matemàtica, Inspires Research Centre, Universitat de Lleida, Av. Jaume II, 69, 25001, Lleida, Catalonia, Spain;3. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain |
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| Abstract: | We use a modified version of the Nambu-Jona-Lasinio (NJL) model which implements the QCD trace anomaly to calculate the two photon decay width of the glueball (f0(1500)) and of the two scalar mesons (f0(1370), fJ=0(1710)) to which it is mixed. We investigate the effect of the mixing over the coupling constants of the f0 states to the quarks and over the widths. We show that mass and phase space effects are crucial, at least in the NJL model, in determining the relative strength of the 2γ widths. |
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