Interaction energy in infinite nuclear matter in the hybrid soliton model

Hahn, Dietger

doi:10.1103/physrevc.36.1181

Cited by 14 publications

(29 citation statements)

References 32 publications

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“…In [15] it has been suggested that deconfinement takes place when the upper band, which corresponds to Grand Spin G = 1, merges with the lower band. In the case with vector mesons this occurs roughly at densities slightly larger than the saturation density.…”

Section: Results: Solitons At Finite Densitymentioning

confidence: 99%

“…Similar approaches to a finite density system have been investigated in the past [13][14][15][16][17][18][19]. A problem of those works is that the solitonic solutions are unstable and disappear already at moderate densities when e.g.…”

Section: Introductionmentioning

confidence: 99%

“…This approach is very common and it has already been widely applied to both non-linear [14,15,19] and linear-σ models [18]. Specifically, the Wigner-Seitz approximation consists of replacing the cubic lattice by a spherical symmetric one where each soliton sits on a spherical cell of radius R with specific boundary conditions imposed on fields at the surface of the sphere.…”

Section: Wigner-seitz Approximation To Nuclear Mattermentioning

confidence: 99%

“…Here we adopt two much simpler procedures. The first method is taken from [15], where the authors estimates the band width as:…”

Section: B Band Widthmentioning

confidence: 99%

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A chiral quark-soliton model with broken scale invariance for nuclear matter

Sarti

Drago

2012

AIP Conference Proceedings

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We present a model for describing nuclear matter at finite density based on quarks interacting with chiral fields, σ and π and with vector mesons introduced as massive gauge fields. The chiral Lagrangian includes a logarithmic potential, associated with the breaking of scale invariance. We provide results for the soliton in vacuum and at finite density, using the Wigner-Seitz approximation. We show that the model can reach higher densities respect to the linear-σ model and that the introduction of vector mesons allows to obtain saturation. This result was never obtained before in similar approaches.

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Section: Results: Solitons At Finite Densitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Wigner-seitz Approximation To Nuclear Mattermentioning

confidence: 99%

“…Here we adopt two much simpler procedures. The first method is taken from [15], where the authors estimates the band width as:…”

Section: B Band Widthmentioning

confidence: 99%

See 2 more Smart Citations

A chiral quark-soliton model with broken scale invariance for nuclear matter

Sarti

Drago

2012

AIP Conference Proceedings

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“…In [20] the authors used this model interpreting the fermions not as nucleons, but as quarks and applying the Wigner-Seitz approach [21], they showed that the new potential allows to reach densities higher than the ones obtained in the linear σ-model. The Wigner-Seitz approximation [21], coming from solid state physics, has been used as a useful tool to mimic a dense system for both non-topological soliton models [22][23][24], chiral soliton models [24][25][26][27] and also the Skyrme model [28,29]. The work in the Skyrme model reported above when compared with that of the Wigner-Seitz approximation shows the limitations of the latter, e.g., long range correlations, implementation of isospin rotations, etc... We would like ultimately to implement, using the CDM, the dense matter description in a real volume to understand the role played by the quarks in the phase transitions.…”

Section: Introductionmentioning

confidence: 99%

The Soliton–soliton Interaction in the Chiral Dilaton Model

Sarti

Park

Vento

2013

Int. J. Mod. Phys. A

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We study the interaction between two B = 1 states in the Chiral Dilaton Model where baryons are described as non-topological solitons arising from the interaction of chiral mesons and quarks. By using the hedgehog solution for the B = 1 states we construct, via a product ansatz, three possible B = 2 configurations to analyse the role of the relative orientation of the hedgehog quills in the dynamics of the soliton-soliton interaction and investigate the behaviour of these solutions in the range of long/intermediate distance. One of the solutions is quite binding due to the dynamics of the π and σ fields at intermediate distance and should be used for nuclear matter studies. Since the product ansatz breaks down as the two solitons get close, we explore the short range distance regime with a model that describes the interaction via a six-quark bag ansatz. We calculate the interaction energy as a function of the inter-soliton distance and show that for small separations the six quarks bag, assuming a hedgehog structure, provides a stable bound state that at large separations connects with a special configuration coming from the product ansatz.

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The Baryon Number Two System in the Chiral Soliton Model

et al. 2012

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We study the interaction between two B = 1 states in a Chiral Soliton Model where baryons are described as non-topological solitons. By using the hedgehog solution for the B = 1 states we construct three possible B = 2 configurations to analyze the role of the relative orientation of the hedgehog quills in the dynamics. The strong dependence of the intersoliton interaction on these relative orientations reveals that studies of dense hadronic matter using this model should take into account their implications.Keywords non-topological soliton · nucleon-nucleon interaction One important issue in the hadron physics is to understand the properties of hadronic matter under extreme conditions, e.g., at high temperature as in relativistic heavy-ion physics and/or at high density as in compact stars. The phase diagram of hadronic matter turns out richer than what has been predicted by perturbative Quantum Chromodynamics (QCD) [1]. Because of the well-known "sign problem" in Lattice QCD [2] one cannot explore the whole phase space by the direct calculations from the fundamental theory with quark and gluon degrees of freedom. Thus, we must rely on effective field theories which are defined in terms of hadronic fields [3] .The Skyrme model [4] is an effective low energy meson theory rooted in large N c QCD, where a baryon is described by a topological soliton [5]. This model has been shown to be successful in describing not only single baryons but even heavy baryons and multi-baryon systems [6]. Furthermore, this model has been applied to study dense and hot baryonic matter and the consequent modifications of meson properties in such a medium have been obtained [7,8]. Since this model does not contain explicit quark and gluon degrees of freedom, the main interest of these studies has been the phase transition associated with the chiral symmetry restoration.

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Interaction energy in infinite nuclear matter in the hybrid soliton model

Cited by 14 publications

References 32 publications

A chiral quark-soliton model with broken scale invariance for nuclear matter

A chiral quark-soliton model with broken scale invariance for nuclear matter

The Soliton–soliton Interaction in the Chiral Dilaton Model

The Baryon Number Two System in the Chiral Soliton Model

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