5,145 research outputs found
The Minimum Total Mass of MACHOs and Halo Models of the Galaxy
If the density distribution \rho (r) of MACHOs is spherically symmetric with
respect to the Galactic center, it is shown that the minimal total mass
M_{min}^{{ MACHO}} of the MACHOs is 1.7\times 10^{10}\sol \tau_{-6.7}^{{ LMC}}
where \tau_{-6.7}^{{ LMC}} is the optical depth (\tau^{{ LMC}}) toward the
Large Magellanic Cloud (LMC) in the unit of 2\times 10^{-7}. If \rho (r) is a
decreasing function of r, it is proved that M_{min}^{{ MACHO}} is 5.6\times
10^{10}\sol \tau_{-6.7}^{{ LMC}}. Several spherical and axially symmetric halo
models of the Galaxy with a few free parameters are also considered. It is
found that M_{min}^{{ MACHO}} ranges from 5.6\times 10^{10}\sol \tau_{-6.7}^{{
LMC}} to \sim 3 \times 10^{11}\sol \tau_{-6.7}^{{ LMC}}. For general case, the
minimal column density \Sigma_{min}^{{ MACHO}} of MACHOs is obtained as
\Sigma_{min}^{{ MACHO}} =25 \sol { pc}^{-2}\tau_{-6.7}^{{ LMC}}. If the clump
of MACHOs exist only halfway between LMC and the sun, M_{min}^{{ MACHO}} is
1.5\times 10^9\sol. This shows that the total mass of MACHOs is smaller than 5
\times 10^{10}\sol , i.e. \sim 10\% of the mass of the halo inside LMC, either
if the density distribution of MACHOs is unusual or \tau^{{ LMC}}\ll 2\times
10^{-7}.Comment: 5 pages, 5 Encapsulated PostScript figures, Latex, Accepted for
publication in Apj. Letter
Shape of Deconstruction
We construct a six-dimensional Maxwell theory using a latticized extra space,
the continuum limit of which is a shifted torus recently discussed by Dienes.
This toy model exhibits the correspondence between continuum theory and
discrete theory, and give a geometrical insight to theory-space model building.Comment: 10 pages, 2 figures, RevTeX4. a citation adde
Divergences in QED on a Graph
We consider a model of quantum electrodynamics (QED) on a graph. The one-loop
divergences in the model are investigated by use of the background field
method.Comment: 14 pages, no figures, RevTeX4. References and typos adde
Accessing Data: Methods for understanding mobile technology use
Mobile devices, applications and services have become integrated into people’s dailylives on a personal and professional level. Although traditional research methods arebeing used to understand the use of mobile devices and applications, methodologicalchallenges still exist. Researchers have responded to these challenges in a variety ofways, with an emphasis on developing methods that enable new ways of accessing,making available and collecting data about mobile technology use. This paper identifies,defines, describes and presents, a preliminary framework for understanding themethodological responses emerging in current Mobile Human Computer Interaction(Mobile HCI) research
Absence of evidence is not evidence of absence:On the limited use of regression discontinuity analysis in higher education
When higher education students are assessed multiple times, teachers need to consider how these assessments can be combined into a single pass or fail decision. A common question that arises is whether students should be allowed to take a resit. Previous research has found little to no clear learning benefits of resits and therefore suggested they might not be advantangeous as they are costly for both students and institutions. However, we conducted a simulation study that shows such a conclusion to be presumptuous. Absence of evidence is not evidence of absence; our results illustrate that if a resit effect were to exist, the analysis used in these studies (i.e. regression discontinuity analysis; RDA) lacked the power to detect such an effect. Power of RDA was only sufficient under extremely implausible conditions (i.e. large sample, large effect size, high correlation between examinations). To adequately compare the effect of assessment policies, researchers are recommended to use other methods than RDA
Discrete Gravitational Dimensions
We study the physics of a single discrete gravitational extra dimension using
the effective field theory for massive gravitons. We first consider a minimal
discretization with 4D gravitons on the sites and nearest neighbor hopping
terms. At the linear level, 5D continuum physics is recovered correctly, but at
the non-linear level the theory becomes highly non-local in the discrete
dimension. There is a peculiar UV/IR connection, where the scale of strong
interactions at high energies is related to the radius of the dimension. These
new effects formally vanish in the limit of zero lattice spacing, but do not do
so quickly enough to reproduce the continuum physics consistently in an
effective field theory up to the 5D Planck scale. Nevertheless, this model does
make sense as an effective theory up to energies parametrically higher than the
compactification scale. In order to have a discrete theory that appears local
in the continuum limit, the lattice action must have interactions between
distant sites. We speculate on the relevance of these observations to the
construction of finite discrete theories of gravity in four dimensions.Comment: 5 pages, 4 diagrams. Important typos in some equations corrected;
conclusion s unchange
Bulk Fermion Stars with New Dimensions
Many efforts have been devoted to the studies of the phenomenology in
particle physics with extra dimensions. We propose degenerate fermion stars
with extra dimensions and study what features characterized by the size of
extra dimensions should appear in its structure. We find that Kaluza-Klein
excited modes arise for the larger scale of extra dimensions and examine the
conditions on which different layers should be caused in the inside of the
stars. We expound how the extra dimensions affect on physical quantities.Comment: 20 pages, 14 figure
Interparticle Potential up to Next-to-leading Order for Gravitational, Electrical, and Dilatonic Forces
Long-range forces up to next-to-leading order are computed in the framework
of the Einstein-Maxwell-dilaton system by means of a semiclassical approach to
gravity. As has been recently shown, this approach is effective if one of the
masses under consideration is significantly greater than all the energies
involved in the system. Further, we obtain the condition for the equilibrium of
charged masses in the system.Comment: 19 pages, 19 figures, RevTeX4.1. Revised version, Title change
Coexistence of antiferromagnetic order and unconventional superconductivity in heavy fermion compounds CeRh_{1-x}Ir_xIn_5: nuclear quadrupole resonance studies
We present a systematic ^{115}In NQR study on the heavy fermion compounds
CeRh_{1-x}Ir_xIn_5 (x=0.25, 0.35, 0.45, 0.5, 0.55 and 0.75). The results
provide strong evidence for the microscopic coexistence of antiferromagnetic
(AF) order and superconductivity (SC) in the range of 0.35 \leq x \leq 0.55.
Specifically, for x=0.5, T_N is observed at 3 K with a subsequent onset of
superconductivity at T_c=0.9 K. T_c reaches a maximum (0.94 K) at x=0.45 where
T_N is found to be the highest (4.0 K). Detailed analysis of the measured
spectra indicate that the same electrons participate in both SC and AF order.
The nuclear spin-lattice relaxation rate 1/T_1 shows a broad peak at T_N and
follows a T^3 variation below T_c, the latter property indicating
unconventional SC as in CeIrIn_5 (T_c=0.4 K). We further find that, in the
coexistence region, the T^3 dependence of 1/T_1 is replaced by a T-linear
variation below T\sim 0.4 K, with the value \frac{(T_1)_{T_c}}{(T_1)_{low-T}}
increasing with decreasing x, likely due to low-lying magnetic excitations
associated with the coexisting magnetism.Comment: 20 pages, 14 figure
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