37,401 research outputs found
Particle-number conserving analysis for the 2-quasiparticle and high- multi-quasiparticle states in doubly-odd Lu
Two-quasiparticle bands and low-lying excited high- four-, six-, and
eight-quasiparticle bands in the doubly-odd Lu are analyzed by
using the cranked shell model (CSM) with the pairing correlations treated by a
particle-number conserving (PNC) method, in which the blocking effects are
taken into account exactly. The proton and neutron Nilsson level schemes for
Lu are taken from the adjacent odd- Lu and Hf isotopes, which
are adopted to reproduce the experimental bandhead energies of the
one-quasiproton and one-quasineutron bands of these odd- Lu and Hf nuclei,
respectively. Once the quasiparticle configurations are determined, the
experimental bandhead energies and the moments of inertia of these two- and
multi-quasiparticle bands are well reproduced by PNC-CSM calculations. The
Coriolis mixing of the low- () two-quasiparticle band
of the Gallagher-Moszkowski doublet with one nucleon in the
orbital is analyzed.Comment: 8 pages, 5 figures, 2 tables, to be published at Chinese Physics
Charmless Decays in Factorization-Assisted Topological-Amplitude Approach
Within the factorization-assisted topological-amplitude approach, we studied
the 33 charmless decays, where stands for a light vector
meson. According to the flavor flows, the amplitude of each process can be
decomposed into 8 different topologies. In contrast to the conventional flavor
diagrammatic approach, we further factorize each topological amplitude into
decay constant, form factors and unknown universal parameters. By
fitting 46 experimental observables, we extracted 10 theoretical parameters
with per degree of freedom around 2. Using the fitted parameters, we
calculated the branching fractions, polarization fractions, CP asymmetries and
relative phases between polarization amplitudes of each decay mode. The decay
channels dominated by tree diagram have large branching fractions and large
longitudinal polarization fraction. The branching fractions and longitudinal
polarization fractions of color-suppressed decays become smaller. Current
experimental data of large transverse polarization fractions in the penguin
dominant decay channels can be explained by only one transverse amplitude of
penguin annihilation diagram. Our predictions of those not yet measured
channels can be tested in the ongoing LHCb experiment and the Belle-II
experiment in future.Comment: 22 pages, 2 figure
Optimal Posted Prices for Online Cloud Resource Allocation
We study online resource allocation in a cloud computing platform, through a
posted pricing mechanism: The cloud provider publishes a unit price for each
resource type, which may vary over time; upon arrival at the cloud system, a
cloud user either takes the current prices, renting resources to execute its
job, or refuses the prices without running its job there. We design pricing
functions based on the current resource utilization ratios, in a wide array of
demand-supply relationships and resource occupation durations, and prove
worst-case competitive ratios of the pricing functions in terms of social
welfare. In the basic case of a single-type, non-recycled resource (i.e.,
allocated resources are not later released for reuse), we prove that our
pricing function design is optimal, in that any other pricing function can only
lead to a worse competitive ratio. Insights obtained from the basic cases are
then used to generalize the pricing functions to more realistic cloud systems
with multiple types of resources, where a job occupies allocated resources for
a number of time slots till completion, upon which time the resources are
returned back to the cloud resource pool
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