Chiral Lagrangian for strange hadronic matter

Papazoglou, P.; Schramm, Stefan; Schaffner-Bielich, J.; Stöcker, H.; Greiner, Walter

doi:10.1103/physrevc.57.2576

Cited by 171 publications

(216 citation statements)

References 43 publications

(95 reference statements)

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“…In the following we will shortly describe the different components of the model, for a more detailed discussion we refer to [30]. The hadronic part is described by a flavor-SU(3) model, which is an extension of a non-linear representation of a σ-ω model including the pseudo-scalar and vector nonets of mesons and the baryonic octet [31,32,33]. Besides the kinetic energy term for hadrons and quarks, the terms:…”

Section: The Qh Modelmentioning

confidence: 99%

The problem of repulsive quark interactions – Lattice versus mean field models

Steinheimer

Schramm

2011

Physics Letters B

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We calculate the 2nd and 4th order quark number susceptibilities at zero baryochemical potential, using a PNJL approach and an approach which includes, in a single model, quark and hadronic degrees of freedom. We observe that the susceptibilities are very sensitive to possible quark-quark vector interactions. Compared to lattice data our results suggest that above T c any mean field type of repulsive vector interaction can be excluded from model calculations. Below T c our results show only very weak sensitivity on the strength of the quark and hadronic vector interaction. The best description of lattice data around T c is obtained for a case of coexistence of hadronic and quark degrees of freedom .Many recent experimental programs in heavy ion physics, e.g. at the relativistic heavy ion collider and the planned FAIR facility, are aimed at a better understanding of bulk properties of QCD matter. In particular the experimental confirmation of the deconfinement and chiral phase transitions as well as the search for the critical end point (CeP) are of great interest to the community. Lattice results at µ B = 0 suggest that both phase transitions exhibit a smooth crossover. Suffering from the so called sign problem at finite baryo chemical potential, lattice studies have so far not been able to constitute a consistent picture of the phase diagram and the existence of the CeP [1,2]. While a Taylor expansion of lattice results at µ b = 0 predict the existence of a critical end point these results may strongly depend on the order to which the Taylor coefficients can be evaluated [3]. Lattice calculations at imaginary chemical potential on the other hand show no indication for a CeP, though these calculations are done on on a coarse lattice with a fermion action that is known to have large discretization errors. Other studies trying to locate the CeP often rely on the applicability of various effective models where CeP's existence and location seems very sensitive on the vector coupling strength at and below T c [4]. The PNJL modelThe PNJL model was introduced in [5,6] as an effective chiral quasi-quark model that incorporates a mean field like coupling to a color background field. It has often been shown to reproduce many general features of lattice results at µ B = 0 [7,

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Section: The Qh Modelmentioning

confidence: 99%

The problem of repulsive quark interactions – Lattice versus mean field models

Steinheimer

Schramm

2011

Physics Letters B

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“…This strategy has been followed, e.g. in [14], and is adopted also here. The transformation properties of the hadrons in the non-linear representation can be derived if the 'old' quarks q are related to the 'new quarks g of the nonlinear representation.…”

Section: )mentioning

confidence: 99%

“…for I III, scalar (X), vector (VP = 1, + rp), axial vector (.A,, = I,, -7.p) ~iitl hryoii (B, 9 matrices one has X' = hXh+, V, ' = 1zV&+,Al,= hAphi,B' = hBh+. D' = 1,hhD (20) The present, non-linearly transforming, haclronic fields can br ol)tainl,cl from the linearly transforming ones described in [14] by multiplying thcnl with u(r(x)) and its conjugate (see also [22] Here, M = C + i17 and its conjugate contains the non&s of the linearly transforming scalar (C) and pseudoscalar (n) mesons, whereas i,, , ? ',,, PI,, PI/H : AT, and An are the left-and right-handed parts of the spin-l mcsous, spin-I/:!…”

Section: Lumentioning

confidence: 99%

Chiral symmetries in nuclear physics

Zschiesche¹,

Papazoglou²,

Schramm³

et al.

Springer Tracts in Modern Physics

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“…A detailed description of this general ansatz can be found in [12,13]. Restricting the discussion to the time-independent mean-field approximation the interaction of the baryons with the scalar and vector mesons reads…”

Section: The Quark-hadron (Qh) Modelmentioning

confidence: 99%

Structure and Cooling of Neutron and Hybrid Stars

Schramm

Dexheimer

Negreiros

et al. 2013

Exciting Interdisciplinary Physics

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The study of neutron stars is a topic of central interest in the investigation of the properties of strongly compressed hadronic matter. Whereas in heavy-ion collisions the fireball, created in the collision zone, contains very hot matter, with varying density depending on the beam energy, neutron stars largely sample the region of cold and dense matter with the exception of the very short time period of the existence of the proto-neutron star. Therefore, neutron star physics, in addition to its general importance in astrophysics, is a crucial complement to heavy-ion physics in the study of strongly interacting matter. In the following, model approaches will be introduced to calculate properties of neutron stars that incorporate baryons and quarks. These approaches are also able to describe the state of matter over a wide range of temperatures and densities, which is essential if one wants to connect and correlate star observables and results from heavy-ion collisions. The effect of exotic particles and quark cores on neutron star properties will be considered. In addition to the gross properties of the stars like their masses and radii their expected inner composition is quite sensitive to the models used. The effect of the composition can be studied through the analysis of the cooling curve of the star. In addition, we consider the effect of rotation, as in this case the particle composition of the star can be modified quite drastically.

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Chiral Lagrangian for strange hadronic matter

Cited by 171 publications

References 43 publications

The problem of repulsive quark interactions – Lattice versus mean field models

The problem of repulsive quark interactions – Lattice versus mean field models

Chiral symmetries in nuclear physics

Structure and Cooling of Neutron and Hybrid Stars

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