1,244 research outputs found
Cosmology-Independent Distance Moduli of 42 Gamma-Ray Bursts between Redshift of 1.44 and 6.60
This report is an update and extension of our paper accepted for publication
in ApJ (arXiv:0802.4262). Since objects at the same redshift should have the
same luminosity distance and the distance moduli of type Ia supernovae (SNe Ia)
obtained directly from observations are completely cosmology independent, we
obtain the distance modulus of a gamma-ray burst (GRB) at a given redshift by
interpolating or iterating from the Hubble diagram of SNe Ia. Then we calibrate
five GRB relations without assuming a particular cosmological model, from
different regression methods, and construct the GRB Hubble diagram to constrain
cosmological parameters. Based upon these relations we list the
cosmology-independent distance moduli of 42 GRBs between redshift of 1.44 and
6.60, with the 1- uncertainties of 1-3%.Comment: 6 pages, 2 figures, 3 tables. To appear in the proceedings of "2008
Nanjing GRB conference", Nanjing, 23-27 June 200
The Hawking-Page phase transitions in the extended phase space in the Gauss-Bonnet gravity
In this paper, the Hawking-Page phase transitions between the black holes and
thermal anti-de Sitter (AdS) space are studied with the Gauss-Bonnet term in
the extended phase space, in which the varying cosmological constant plays the
role of an effective thermodynamic pressure. The Gauss-Bonnet term exhibits its
effects via introducing the corrections to the black hole entropy and Gibbs
free energy. The global phase structures, especially the phase transition
temperature and the Gibbs free energy , are systematically
investigated, first for the Schwarzschild-AdS black holes and then for the
charged and rotating AdS black holes in the grand canonical ensembles, with
both analytical and numerical methods. It is found that there are terminal
points in the coexistence lines, and decreases at large electric
potentials and angular velocities and also decreases with the Gauss-Bonnet
coupling constant .Comment: 13 pages, 13 figure
Microscopic description of octupole shape-phase transitions in light actinides and rare-earth nuclei
A systematic analysis of low-lying quadrupole and octupole collective states
is presented, based on the microscopic energy density functional framework. By
mapping the deformation constrained self-consistent axially symmetric
mean-field energy surfaces onto the equivalent Hamiltonian of the
interacting boson model (IBM), that is, onto the energy expectation value in
the boson condensate state, the Hamiltonian parameters are determined. The
study is based on the global relativistic energy density functional DD-PC1. The
resulting IBM Hamiltonian is used to calculate excitation spectra and
transition rates for the positive- and negative-parity collective states in
four isotopic chains characteristic for two regions of octupole deformation and
collectivity: Th, Ra, Sm and Ba. Consistent with the empirical trend, the
microscopic calculation based on the systematics of -
energy maps, the resulting low-lying negative-parity bands and transition rates
show evidence of a shape transition between stable octupole deformation and
octupole vibrations characteristic for -soft potentials.Comment: 18 pages, 18 figures, 1 tabl
Precise determination of lattice phase shifts and mixing angles
We introduce a general and accurate method for determining lattice phase
shifts and mixing angles, which is applicable to arbitrary, non-cubic lattices.
Our method combines angular momentum projection, spherical wall boundaries and
an adjustable auxiliary potential. This allows us to construct radial lattice
wave functions and to determine phase shifts at arbitrary energies. For coupled
partial waves, we use a complex-valued auxiliary potential that breaks
time-reversal invariance. We benchmark our method using a system of two
spin-1/2 particles interacting through a finite-range potential with a strong
tensor component. We are able to extract phase shifts and mixing angles for all
angular momenta and energies, with precision greater than that of extant
methods. We discuss a wide range of applications from nuclear lattice
simulations to optical lattice experiments.Comment: 7 pp, 4 figs, 1 tabl
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