Diquark Bose-Einstein Condensation and Nuclear Matter

Abstract

We study a possible transition between symmetric nuclear matter and the diquark Bose-Einstein condensate (BEC) matter at zero temperature. We find that chiral restoration transition is first order and coincides with deconfinement. We investigate various possible coexistence patterns which may emerge from the first order deconfinement phase transition by assuming different values for the critical deconfinement chemical potential. If deconfinement takes place at higher chemical potential, there exists a mixed phase of nuclear and chirally restored diquark BEC matter. This coexistence region extends over a large density region for a bigger diquark BEC or a weaker diquark-diquark interaction. For model parameters with heavy diquark in vaccum, phase transition to diquark matter becomes of second-order. We also show that in the case of precocious deconfinement, droplets of nucleons and droplets of chirally restored Bose-Einstein condensed diquarks coexist surrounded by non-trivial vacuum. We show that a early deconfinement and a weak repulsive diquark-diquark interaction soften the equation of state. We propose a scenario in which nuclear matter saturates due to the formation of the diquark BEC and deconfinement phenomena. In this picture, instead of repulsive vector-meson exchange the compressibility of the equation of state is related to a repulsive diquark-diquark interaction. In general, we emphasize the importance of a diquark BEC phase at rather low density before quark BCS-pairing transition.

29 pages, 9 figures (eps), references added, Conclusion extended, version to appear in Nucl.Phys. A

References in corpus (23)

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• Determination of the Equation of State of Dense Matter
• NJL-model analysis of dense quark matter
• Color superconducting quark matter
• Quark Mass and Flavour Dependence of the QCD Phase Transition
• The Quark-Gluon Plasma in Equilibrium
• Two lectures on color superconductivity
• Chiral Dynamics and Nuclear Matter
• The Stability of Nuclear Matter in the Nambu-Jona-Lasinio Model
• Kaon Condensation and Goldstone's Theorem
• Finite density QCD with a canonical approach
• Unmasking the nuclear matter equation of state
• Spontaneous Symmetry Breaking with Abnormal Number of Nambu-Goldstone Bosons and Kaon Condensate
• BCS-BEC crossover in a relativistic superfluid and its significance to quark matter
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• Pseudogap of Color Superconductivity in Heated Quark Matter
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• Baryon structure in a quark-confining non-local NJL model
• The Nuclear matter stability in a non-local chiral quark model
• A nucleonic NJL model for finite nuclei: dynamic mass generation and ground-state observables
• Constraints on possible phase transitions above the nuclear saturation density

Cited by in corpus (21)

• Bose-Einstein Condensate general relativistic stars
• BEC-BCS Crossover in the Nambu--Jona-Lasinio Model of QCD
• Hybrid stars within a covariant, nonlocal chiral quark model
• BCS/BEC crossover in Quark Matter and Evolution of its Static and Dynamic properties
• Relativistic BCS-BEC crossover in a boson-fermion model
• Bose-Einstein condensate strings
• Meson Spectral Functions at Finite Temperature and Isospin Density with Functional Renormalization Group
• Thin accretion disks around cold Bose-Einstein Condensate stars
• Neutrino Condensate as Origin of Dark Energy
• BCS BEC crossover and phase structure of relativistic system: a variational approach
• Mesons and diquarks in neutral color superconducting quark matter with $\beta$-equilibrium
• Magnetic Tuning of the Relativistic BCS-BEC Crossover
• Kaon-condensed hypernuclei as highly dense self-bound objects
• Dynamical stabilization of runaway potentials at finite density
• Boundary between Hadron and Quark/Gluon Structure of Nuclei
• Relativistic BCS-BEC crossover of a two-species Fermi gas with number density asymmetry at zero temperature
• Applied High Energy QCD
• Equation of State in a Strongly Interacting Relativistic System
• BCS-BEC Crossover and Stability in a Nambu-Jona-Lasinio Model with Diquark-Diquark Repulsion
• Dynamical stabilization of runaway potentials and landscape of vacua at finite density
• Deconfinement, naturalness and the nuclear-quark equation of state