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Dynamical Derivation of the Momentum Space Shell Structure for Quarkyonic Matter
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The phase space structure of zero temperature Quarkyonic Matter is a Fermi sphere of Quark Matter, surrounded by a shell of Nucleonic Matter. We construct a quasi particle model of Quarkyonic Matter based on the constituent quark model, where the quark and nucleon masses are related by m_Q = m_N/N_c, and N_c is the number of quark colors. The region of occupied states is for quarks k_Q < k_F/N_c, and for nucleons k_F < k_N < k_F + \Delta. We first consider the general problem of Quarkyonic Matter with hard core nucleon interactions. We then specialize to a quasi-particle model where the hard core nucleon interactions are accounted for by an excluded volume. In this model, we show that the nucleonic shell forms past some critical density related to the hard core size, and for large densities becomes a thin shell. We explore the basic features of such a model, and argue this model has the semi-quantitative behaviour needed to describe neutron stars.
Forward citations
Cited by 4 Pith papers
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Quarkyonic Stars with Strangeness
A three-flavor quarkyonic model with octet baryons yields stiffer neutron-star EOS and raises maximum masses, potentially resolving the hyperon puzzle.
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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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Ferromagnetic instabilities in quarkyonic matter
Quarkyonic neutron matter can turn ferromagnetic below about 5.5 n0, but only with a hand-chosen negative spin-spin interaction constant.
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Quark Phase Space Distributions in Nuclei
Using Wigner distributions, the authors find that the fraction of baryons with quark phase-space occupancy above the Pauli bound tends to a constant for heavy nuclei, supporting the plausibility of low-momentum suppression.
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