4,096 research outputs found
Self-consistent parametrization of the two-flavor isotropic color-superconducting ground state
Lack of Lorentz invariance of QCD at finite quark chemical potential in
general implies the need of Lorentz non-invariant condensates for the
self-consistent description of the color-superconducting ground state.
Moreover, the spontaneous breakdown of color SU(3) in this state naturally
leads to the existence of SU(3) non-invariant non-superconducting expectation
values. We illustrate these observations by analyzing the properties of an
effective 2-flavor Nambu-Jona-Lasinio type Lagrangian and discuss the
possibility of color-superconducting states with effectively gapless fermionic
excitations. It turns out that the effect of condensates so far neglected can
yield new interesting phenomena.Comment: 16 pages, 3 figure
Dense quark matter in compact stars
The densest predicted state of matter is colour-superconducting quark matter,
in which quarks near the Fermi surface form a condensate of Cooper pairs. This
form of matter may well exist in the core of compact stars, and the search for
signatures of its presence is an ongoing enterprise. Using a bag model of quark
matter, I discuss the effects of colour superconductivity on the mass-radius
relationship of compact stars, showing that colour superconducting quark matter
can occur in compact stars at values of the bag constant where ordinary quark
matter would not be allowed. The resultant ``hybrid'' stars with colour
superconducting quark matter interior and nuclear matter surface have masses in
the range 1.3-1.6 Msolar and radii 8-11 km. Once perturbative corrections are
included, quark matter can show a mass-radius relationship very similar to that
of nuclear matter, and the mass of a hybrid star can reach 1.8 \Msolar.Comment: 11 pages, for proceedings of SQM 2003 conference; references added,
abstract reworde
Colour superconductivity in finite systems
In this paper we study the effect of finite size on the two-flavour colour
superconducting state. As well as restricting the quarks to a box, we project
onto states of good baryon number and onto colour singlets, these being
necessary restrictions on any observable ``quark nuggets''. We find that
whereas finite size alone has a significant effect for very small boxes, with
the superconducting state often being destroyed, the effect of projection is to
restore it again. The infinite-volume limit is a good approximation even for
quite small systems.Comment: 14 pages RevTeX4, 12 eps figure
Color-flavor locked strangelets in a quark mass density-dependent model
The color-flavor locked (CFL) phase of strangelets is investigated in a quark
mass density-dependent model. Parameters are determined by stability arguments.
It is concluded that three solutions to the system equations can be found,
corresponding, respectively, to positively charged, negatively charged, and
nearly neutral CFL strangelets. The charge to baryon number of the positively
charged strangelets is smaller than the previous result, while the charge of
the negatively charged strangelets is nearly proportional in magnitude to the
cubic-root of the baryon number. However, the positively charged strangelets
are more stable compared to the other two solutions.Comment: 11 pages,7 figures, Accepted for publication in Int. J. Mod. Phys.
Viscous damping of r-modes: Large amplitude saturation
We analyze the viscous damping of r-mode oscillations of compact stars,
taking into account non-linear viscous effects in the large-amplitude regime.
The qualitatively different cases of hadronic stars, strange quark stars, and
hybrid stars are studied. We calculate the viscous damping times of r-modes,
obtaining numerical results and also general approximate analytic expressions
that explicitly exhibit the dependence on the parameters that are relevant for
a future spindown evolution calculation. The strongly enhanced damping of large
amplitude oscillations leads to damping times that are considerably lower than
those obtained when the amplitude dependence of the viscosity is neglected.
Consequently, large-amplitude viscous damping competes with the gravitational
instability at all physical frequencies and could stop the r-mode growth in
case this is not done before by non-linear hydrodynamic mechanisms.Comment: 18 pages, 17 figures, changed convention for the r-mode amplitude,
version to be published in PR
Quark matter in compact stars?
Ozel, in a recent reanalysis of EXO 0748-676 observational data
(astro-ph/0605106), concluded that quark matter probably does not exist in the
center of compact stars. We show that the data is actually consistent with the
presence of quark matter in compact stars.Comment: 4 pages, LaTeX; New title and overall rewrite to reflect version
published in Nature. Conclusions unchange
Breached Pairing Superfluidity at Finite Temperature and Density
A general analysis on Fermion pairing at finite temperature and density
between different species with mismatched Fermi surfaces is presented. Very
different from the temperature effect of BCS phase, the recently found breached
pairing phase resulted from density difference of the two species lies in a
region with calabash-like shape in the plane, and the most probable
temperature for the new phase's creation is finite but not zero.Comment: 5 papes, 5 figures. Comments are welcome to
[email protected]
Color-Neutral Superconducting Quark Matter
We investigate the consequences of enforcing local color neutrality on the
color superconducting phases of quark matter by utilizing the
Nambu-Jona-Lasinio model supplemented by diquark and the t'Hooft six-fermion
interactions. In neutrino free matter at zero temperature, color neutrality
guarantees that the number densities of u, d, and s quarks in the
Color-Flavor-Locked (CFL) phase will be equal even with physical current quark
masses. Electric charge neutrality follows as a consequence and without the
presence of electrons. In contrast, electric charge neutrality in the less
symmetric 2-flavor superconducting (2SC) phase with ud pairing requires more
electrons than the normal quark phase. The free energy density cost of
enforcing color and electric charge neutrality in the CFL phase is lower than
that in the 2SC phase, which favors the formation of the CFL phase. With
increasing temperature and neutrino content, an unlocking transition occurs
from the CFL phase to the 2SC phase with the order of the transition depending
on the temperature, the quark and lepton number chemical potentials. The
astrophysical implications of this rich structure in the phase diagram,
including estimates of the effects from Goldstone bosons in the CFL phase, are
discussed.Comment: 20 pages, 4 figures; version to appear in Phys. Rev.
Preparing Aspiring Superintendents to Lead School Improvement: Perceptions of Graduates for Program Development
Changes in the design and delivery of educational leadership preparation programs are advocated in order to meet the needs of leadership for 21st century schools (Byrd, 2001; Cox, 2002; McKerrow, 1998; Smylie & Bennett, 2005). The changing needs of the 21st century, coupled with accountability standards and more diverse populations of students within school districts, create challenges for leaders who are attempting to increase student achievement (Firestone & Shipps, 2005; Schlechty, 2008). Further, student performance demands have increased at the state and national level because of the No Child Left Behind Act (Wong & Nicotera, 2007). These standards have thus increased the emphasis of the administrator\u27s responsibility to positively impact student achievement (Taylor, 2001). With the graying of the profession and the need for exemplary school superintendents, the preparation of school superintendents who can successfully lead school improvement is vitally important (Lashway, 2006). According to the National Council for the Accreditation of Teacher Education (NCATE, 2002), university preparation programs should seek current leaders\u27 perspectives of critical content components and the processes to be used in the preparation of educational leaders who can lead school improvement practices and processes
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