Dynamical Derivation of the Momentum Space Shell Structure for Quarkyonic Matter

Understand

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.