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Quark-antiquark states of the lightest scalar mesons within the Nambu-Jona-Lasinio model with flavor-dependent coupling constants.
- Source :
-
Journal of Physics G: Nuclear & Particle Physics . Sep2023, Vol. 50 Issue 9, p1-27. 27p. - Publication Year :
- 2023
-
Abstract
- The quark-antiquark components of the U(3) lightest scalar meson nonet are investigated by considering the Nambu-Jona-Lasinio model with flavor-dependent coupling constants that were derived by considering (non-perturbative) gluon exchange. The strange quark effective mass ( M s * ) is varied such that the strangeness content of these scalar mesons can be analyzed further. The neutral states S 0, S 8, and S 3 are adopted as the most relevant quark-antiquark components, respectively, of the σ (500), f 0(980) and A 0 0 (980) mesons. As a result, the mass hierarchy between states S 0 and S 8, and K 0 * (700) − A 0 (980) mesons, can be, respectively, inverted and corrected for quite low values of the strange quark constituent mass. In addition, for some particular values of M s * , the masses of σ (500) and f 0(980) can also be obtained by considering the mixing coupling constant G 08. However, the masses of all the nine mesons are not described simultaneously in a self-consistent procedure and this goes along with the need of non-quark-antiquark states to completely describe their masses. A neutral-meson mixing matrix is defined and the leading mixing angle is found by fitting a correct value of the σ (500) − f 0(980) mass difference. Two different estimates for the strengths of the mixings A 0 0 → f 0 and f 0 → A 0 0 are proposed, leading to somewhat different behaviors. First by assuming leading transitions to intermediary flavor eigenstates and second by considering a dynamical evolution. The results may be in good agreement with experimental values from BESS-III depending on the value of the strange quark effective mass. [ABSTRACT FROM AUTHOR]
- Subjects :
- *COUPLING constants
*NAMBU-Jona-Lasinio model
*QUARK models
*GLUONS
*MESONS
*QUARKS
Subjects
Details
- Language :
- English
- ISSN :
- 09543899
- Volume :
- 50
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Journal of Physics G: Nuclear & Particle Physics
- Publication Type :
- Academic Journal
- Accession number :
- 165109519
- Full Text :
- https://doi.org/10.1088/1361-6471/acdaea