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Dynamically generated momentum space shell structure of quarkyonic matter via an excluded volume model

Journal Article · · Physical Review C
 [1];  [2];  [2]
  1. Asia Pacific Center for Theoretical Physics, Pohang (Korea); Univ. of Washington, Seattle, WA (United States); OSTI
  2. Univ. of Washington, Seattle, WA (United States)
+ Show Author Affiliations
The phase-space structure of zero-temperature quarkyonic matter is a Fermi sphere of quark matter surrounded by a shell of nucleonic matter. Here, we construct a quasiparticle 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 $$k_F < k_N < k_F + Δ$$. We first consider the general problem of quarkyonic matter with hard-core nucleon interactions. We then specialize to a quasiparticle 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 semiquantitative behavior needed to describe neutron stars.
Research Organization:
Univ. of Washington, Seattle, WA (United States)
Sponsoring Organization:
Ministry of Science, ICT and Future Planning (MSIT); National Research Foundation of Korea (NRF); Simons Foundation; USDOE; USDOE Office of Science (SC)
Grant/Contract Number:
FG02-00ER41132
OSTI ID:
1799977
Alternate ID(s):
OSTI ID: 1603198
Journal Information:
Physical Review C, Journal Name: Physical Review C Journal Issue: 3 Vol. 101; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (11)

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Neutron stars and stellar mergers as a laboratory for dense QCD matter journal February 2019
Hadron–quark crossover and massive hybrid stars journal July 2013
Van der Waals equation of state with Fermi statistics for nuclear matter journal June 2015
Thermodynamics of the low-density excluded-volume hadron gas journal January 2016
Sound velocity and tidal deformability in compact stars journal December 2019
Phenomenological QCD equation of state for massive neutron stars journal February 2015
Sound Velocity Bound and Neutron Stars journal January 2015
Quarkyonic Matter and Neutron Stars journal March 2019
Constraining the Speed of Sound inside Neutron Stars with Chiral Effective Field Theory Interactions and Observations journal June 2018
Thermodynamics of van der Waals Fluids with Quantum Statistics journal January 2016

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Physics