Magnetic field induced corrections to the NJL model coupling constant from vacuum polarization

Moreira, Thiago H.; Braghin, Fábio L.

doi:10.1103/physrevd.105.114009

Cited by 5 publications

(1 citation statement)

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“…It is interesting to note that the opposite behavior was found for strong magnetic fields, where the scalar G ij is more suitable. In this case, the pseudoscalar coupling constants produce the wrong behavior of the neutral pion and kaon masses as functions of the magnetic field [62]. The following important properties, due to CP and electromagnetic U(1) invariances, hold:…”

Section: Flavor-dependent Njl and Quantum Mixingmentioning

confidence: 99%

Quark-antiquark states of the lightest scalar mesons within the Nambu-Jona-Lasinio model with flavor-dependent coupling constants

Braghin

2023

J. Phys. G: Nucl. Part. Phys.

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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 $\sigma(500)$, $f_0(980)$ 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. Besides that, for some particular values of $M_s^*$, the masses of $\sigma(500)$ 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 $\sigma (500) -f_0 (980)$ mass difference. Two different estimates for the strengths of the mixings $A_0^0 \to f_0$ and $f_0 \to A_0^0$ are proposed, leading to somewhat different behaviors. Firstly, by assuming leading transitions to intermediary flavor eigenstates and secondly by considering a dynamical evolution. Results may be in good agreement with experimental values from BESS-III depending on the value of the strange quark effective mass.

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Section: Flavor-dependent Njl and Quantum Mixingmentioning

confidence: 99%