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Fluctuations near the liquid-gas and chiral phase transitions in hadronic matter
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Fluctuations near the liquid-gas and chiral phase transitions in hadronic matter
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We investigate the fluctuations of the net-baryon number density in dense hadronic matter. Chiral dynamics is modeled via the parity doublet Lagrangian, and the mean-field approximation is employed to account for chiral criticality. We focus on the qualitative properties and systematics of the second-order susceptibility of the net-baryon number density for individual positive- and negative-parity nucleons whose masses become degenerate at the chiral restoration. It is shown that the second-order susceptibility of the positive-parity state can become negative when the chiral symmetry is restored, as a natural consequence of the unique relationship of the mass to the order parameter. Moreover, we find that such negative fluctuations are indicative of approaching the critical point on the chiral phase boundary. Our results may have consequences for the interpretation of the experimental data on net-proton fluctuations in heavy-ion collisions.
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Cited by 1 Pith paper
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Suppression of dynamical momentum-space shell by chiral symmetry
In a parity doublet model, self-consistent minimization keeps the quark fraction at zero up to about 8n0, showing quark onset and chiral restoration need not coincide.
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