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Meson loop effect on high density chiral phase transition

100%

Sakaguchi T., Kashiwa K., Matsuzaki M., Kouno H., Yahiro M.

We test the stability of the mean field solution in the Nambu-Jona-Lasinio model in a semi-quantitative manner. For stable solutions with respect to both the σ and π directions, we investigate effects of the mesonic loop corrections of 1/N c, which correspond to the next-to-leading order in the 1/N c expansion, on the high density chiral phase transition. The corrections weaken the first order phase transition and shift the critical chemical potential to a lower value. At N c = 3, however, instability of the mean field effective potential prevents us from determining the minimum of the corrected one.

Radiative decays of scalar mesons σ(600), f 0(980) and a 0(980) in the local Nambu-Jona-Lasinio model

76%

Volkov M., Kuraev E., Bystritskiy Y.

Open Physics

2010

vol. 8

issue 4

580-586

The two-photon decay widths of scalar mesons σ(600), f 0(980) and a 0(980) as well a 0 → ju(ω)γ and f 0 → ju(ω)γ are calculated in the framework of the local Nambu-Jona-Lasinio model. The contributions of the quark loops (Hartree-Fock approximation) and the meson loops (next 1/N c-approximation where N c is the number of colors) are taken into account. The values of these contributions, as we show, are of the same order of magnitude. For the f 0 decay the K-loop contribution plays the dominant role. The results for two-gamma decays are in satisfactory agreement with modern experimental data. The predictions for a 0 → ju(ω)γ and f 0 → ju(ω)γ widths are given.

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2 Open Physics

1 2010

1 2008

1 Bystritskiy Y.

1 Kashiwa K.

1 Kouno H.

1 Kuraev E.

1 Matsuzaki M.

1 Sakaguchi T.

1 Volkov M.

1 Yahiro M.

Search results

Meson loop effect on high density chiral phase transition

Radiative decays of scalar mesons σ(600), f 0(980) and a 0(980) in the local Nambu-Jona-Lasinio model