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2016 ; 76
(ä): 307
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Properties of mesons in a strong magnetic field
#MMPMID27330406
Zhang R
; Fu WJ
; Liu YX
Eur Phys J C Part Fields
2016[]; 76
(ä): 307
PMID27330406
show ga
By extending the [Formula: see text]-derivable approach in the Nambu-Jona-Lasinio
model to a finite magnetic field we calculate the properties of pion, [Formula:
see text], and [Formula: see text] mesons in a magnetic field at finite
temperature not only in the quark-antiquark bound state scheme but also in the
pion-pion scattering resonant state scenario. Our calculation as a result makes
manifest that the masses of [Formula: see text] and [Formula: see text] meson can
be nearly degenerate at the pseudo-critical temperature which increases with
increasing magnetic field strength, and the [Formula: see text] mass ascends
suddenly at almost the same critical temperature. Meanwhile the [Formula: see
text] mesons' masses decrease with the temperature but increase with the magnetic
field strength. We also check the Gell-Mann-Oakes-Renner relation and find that
the relation can be violated clearly with increasing temperature, and the effect
of the magnetic field becomes pronounced around the critical temperature. With
different criteria, we analyze the effect of the magnetic field on the chiral
phase transition and find that the pseudo-critical temperature of the chiral
phase cross, [Formula: see text], is always enhanced by the magnetic field.
Moreover, our calculations indicate that the [Formula: see text] mesons will get
melted as the chiral symmetry has not yet been restored, but the [Formula: see
text] meson does not disassociate even at very high temperature. Particularly, it
is the first to show that there does not exist a vector meson condensate in the
QCD vacuum in the pion-pion scattering scheme.