Critical spectrum of fluctuations for deconfinement at protoneutron star cores

Journal Article · Sat Oct 15 04:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.84.085003· OSTI ID:21607937

Lugones, G ^[1]; Grunfeld, A G ^[2]

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1. Universidade Federal do ABC, Centro de Ciencias Naturais e Humanas, Rua Santa Adelia, 166, 09210-170, Santo Andre (Brazil)
2. Department of Physics, Sultan Qaboos University, P.O. Box: 36 Al-Khode 123 Muscat, Sultanate of Oman (Oman)

We study the deconfinement of hadronic matter into quark matter in a protoneutron star focusing on the effects of the finite size on the formation of just deconfined color superconducting quark droplets embedded in the hadronic environment. The hadronic phase is modeled by the nonlinear Walecka model at finite temperature including the baryon octet and neutrino trapping. For quark matter we use an SU(3){sub f} Nambu-Jona-Lasinio model including color superconductivity. The finite size effects on the just deconfined droplets are considered in the frame of the multiple reflection expansion. In addition, we consider that just deconfined quark matter is transitorily out of equilibrium respect to weak interaction, and we impose color neutrality and flavor conservation during the transition. We calculate self-consistently the surface tension and curvature energy density of the quark hadron interphase and find that it is larger than the values typically assumed in the literature. The transition density is calculated for drops of different sizes, and at different temperatures and neutrino trapping conditions. Then, we show that energy density fluctuations are much more relevant for deconfinement than temperature and neutrino density fluctuations. We calculate the critical size spectrum of energy density fluctuations that allows deconfinement as well as the nucleation rate of each critical bubble. We find that drops with any radii smaller than 800 fm can be formed at a huge rate when matter achieves the bulk transition limit of 5-6 times the nuclear saturation density.

• OSTI ID: 21607937
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 84; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
BASIC INTERACTIONS
COLOR MODEL
COMPOSITE MODELS
DENSITY
ELEMENTARY PARTICLES
ENERGY DENSITY
EQUILIBRIUM
FERMIONS
FLAVOR MODEL
FLUCTUATIONS
HADRONS
INTERACTIONS
LIE GROUPS
MATHEMATICAL MODELS
MATTER
NEUTRON STARS
NEUTRONS
NUCLEAR MODELS
NUCLEONS
PARTICLE MODELS
PHOTONEUTRONS
PHOTONUCLEONS
PHYSICAL PROPERTIES
QUARK MATTER
QUARK MODEL
QUARKS
REFLECTION
SATURATION
SPECTRA
STARS
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
TRAPPING
VARIATIONS
WALECKA MODEL
WEAK INTERACTIONS