14,954 research outputs found
Semiparametric inference in mixture models with predictive recursion marginal likelihood
Predictive recursion is an accurate and computationally efficient algorithm
for nonparametric estimation of mixing densities in mixture models. In
semiparametric mixture models, however, the algorithm fails to account for any
uncertainty in the additional unknown structural parameter. As an alternative
to existing profile likelihood methods, we treat predictive recursion as a
filter approximation to fitting a fully Bayes model, whereby an approximate
marginal likelihood of the structural parameter emerges and can be used for
inference. We call this the predictive recursion marginal likelihood.
Convergence properties of predictive recursion under model mis-specification
also lead to an attractive construction of this new procedure. We show
pointwise convergence of a normalized version of this marginal likelihood
function. Simulations compare the performance of this new marginal likelihood
approach that of existing profile likelihood methods as well as Dirichlet
process mixtures in density estimation. Mixed-effects models and an empirical
Bayes multiple testing application in time series analysis are also considered
Deconstructing triplet nucleon-nucleon scattering
Nucleon-nucleon scattering in spin-triplet channels is analysed within an
effective field theory where one-pion exchange is treated nonperturbatively.
Justifying this requires the identification of an additional low-energy scale
in the strength of that potential. Short-range interactions are organised
according to the resulting power counting, in which the leading term is
promoted to significantly lower order than in the usual perturbative counting.
In each channel there is a critical momentum above which the waves probe the
singular core of the tensor potential and the new counting is necessary. When
the effects of one- and two-pion exchange have been removed using a
distorted-wave Born approximation, the residual scattering in waves with L<=2
is well described by the first three terms in the new counting. In contrast,
the scattering in waves with L>=3 is consistent with the perturbative counting,
at least for energies up to 300 MeV. This pattern is in agreement with
estimates of the critical momenta in these channels.Comment: 13 pages, RevTeX, 8 figures, minor clarifications adde
Signatures of S-wave bound-state formation in finite volume
We discuss formation of an S-wave bound-state in finite volume on the basis
of L\"uscher's phase-shift formula.It is found that although a bound-state pole
condition is fulfilled only in the infinite volume limit, its modification by
the finite size corrections is exponentially suppressed by the spatial extent
in a finite box . We also confirm that the appearance of the S-wave
bound state is accompanied by an abrupt sign change of the S-wave scattering
length even in finite volume through numerical simulations. This distinctive
behavior may help us to discriminate the loosely bound state from the lowest
energy level of the scattering state in finite volume simulations.Comment: 25 pages, 30 figures; v2: typos corrected and two references added,
v3: final version to appear in PR
Levinson's Theorem for Non-local Interactions in Two Dimensions
In the light of the Sturm-Liouville theorem, the Levinson theorem for the
Schr\"{o}dinger equation with both local and non-local cylindrically symmetric
potentials is studied. It is proved that the two-dimensional Levinson theorem
holds for the case with both local and non-local cylindrically symmetric cutoff
potentials, which is not necessarily separable. In addition, the problems
related to the positive-energy bound states and the physically redundant state
are also discussed in this paper.Comment: Latex 11 pages, no figure, submitted to J. Phys. A Email:
[email protected], [email protected]
New varieties could extend the peach canning season
THE peach canning industry in Western Australia at present has only a limited period of operation, coinciding with the harvest time of the major variety, Golden Queen.
New canning peach varieties tested at Stoneville Research Station could be used to extend the harvest period of canning peaches beyond that of the present standard variety, Golden Queen.
This would have obvious advantages for growers and a canning industry.
The South African variety Keimoes was the most promising canning peach tested. Tests on other varieties are continuing
The cork oak
The oak or Querus genus embraces about 450 species which are generally restricted to the cool temperate regions of the Northern Hemisphere. Commercial cork is the over-abundant suberous tissue or bark from two rather unique members of the Querus genus, namely Q. suber and Q. occidentalis.
A lthough Western Australia has a most suitable climate for growing cork trees the potential of a local cork growing industry is severely limited
Formation spectra of light kaonic nuclei by in-flight () reactions with chiral unitary amplitude
We study theoretically the in-flight () reactions for the formation of
light kaonic nuclear systems to get deeper physical insights on the expected
spectra, and to investigate the experimental feasibility of the reaction at new
facilities like J-PARC. We show the expected spectra for the formation of the
, and -B systems which are accessible by the
() experiments. By considering the conversion part of the Green's
function, we can show the missing mass spectra of the () reactions
coincidence with the particle emissions due to absorption in processes. To calculate the cross sections, we use the so-called
approximation to evaluate the optical potential. As for the amplitude
, we adopt the chiral unitary amplitude of channel in vacuum for
simplicity, and we also check the medium effects by applying the chiral
amplitude at finite density. The effects of the p-wave optical potential of
(1385) channel and the contribution from mixing in
He() reaction are also evaluated numerically. To understand the
meanings of the spectrum shape, we also study the behavior of the poles of kaon
Green's function in nuclear matter. We conclude that He() and
He() reactions coincident with the emission due to
absorption may show the certain structure in the bound region
spectra indicating the existence of the unstable kaonic nuclear bound states.
As for the C() spectra with the emission, we may also
observe the structure in the bound region, however, we need to evaluate the
medium effects carefully for larger nuclei.Comment: 14 pages, 12 figure
Local Projections of Low-Momentum Potentials
Nuclear interactions evolved via renormalization group methods to lower
resolution become increasingly non-local (off-diagonal in coordinate space) as
they are softened. This inhibits both the development of intuition about the
interactions and their use with some methods for solving the quantum many-body
problem. By applying "local projections", a softened interaction can be reduced
to a local effective interaction plus a non-local residual interaction. At the
two-body level, a local projection after similarity renormalization group (SRG)
evolution manifests the elimination of short-range repulsive cores and the flow
toward universal low-momentum interactions. The SRG residual interaction is
found to be relatively weak at low energy, which motivates a perturbative
treatment
Nilsson diagrams for light neutron-rich nuclei with weakly-bound neutrons
Using Woods-Saxon potentials and the eigenphase formalism for one-particle
resonances, one-particle bound and resonant levels for neutrons as a function
of quadrupole deformation are presented, which are supposed to be useful for
the interpretation of spectroscopic properties of some light neutron-rich
nuclei with weakly-bound neutrons. Compared with Nilsson diagrams in text books
which are constructed using modified oscillator potentials, we point out a
systematic change of the shell structure in connection with both weakly-bound
and resonant one-particle levels related to small orbital angular momenta
. Then, it is seen that weakly-bound neutrons in nuclei such as
C and Mg may prefer to being deformed as a result of
Jahn-Teller effect, due to the near degeneracy of the 1d-2s
levels and the 1f-2p levels in the spherical potential,
respectively. Furthermore, the absence of some one-particle resonant levels
compared with the Nilsson diagrams in text books is illustrated.Comment: 12 pages, 5 figure
Similar biodiversity of ectomycorrhizal fungi in set-aside plantations and ancient old-growth broadleaved forests
Setting aside overmature planted forests is currently seen as an option for preserving species associated with old-growth forests, such as those with dispersal limitation. Few data exist, however, on the utility of set-aside plantations for this purpose, or the value of this habitat type for biodiversity relative to old-growth semi-natural ecosystems. Here, we evaluate the contribution of forest type relative to habitat characteristics in determining species richness and composition in seven forest blocks, each containing an ancient old-growth stand (> 1000 yrs) paired with a set-aside even-aged planted stand (ca. 180 yrs). We investigated the functionally important yet relatively neglected ectomycorrhizal fungi (EMF), a group for which the importance of forest age has not been assessed in broadleaved forests. We found that forest type was not an important determinant of EMF species richness or composition, demonstrating that set-aside can be an effective option for conserving ancient EMF communities. Species richness of above-ground EMF fruiting bodies was principally related to the basal area of the stand (a correlate of canopy cover) and tree species diversity, whilst richness of below-ground ectomycorrhizae was driven only by tree diversity. Our results suggest that overmature planted forest stands, particularly those that are mixed-woods with high basal area, are an effective means to connect and expand ecological networks of ancient old-growth forests in historically deforested and fragmented landscapes for ectomycorrhizal fungi
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