1,402 research outputs found
Analysis on Heavy Quarkonia Transitions with Pion Emission in Terms of the QCD Multipole Expansion and Determination of Mass Spectra of Hybrids
One of the most important tasks in high energy physics is search for the
exotic states, such as glueball, hybrid and multi-quark states. The transitions
and attract
great attentions because they may reveal characteristics of hybrids. In this
work, we analyze those transition modes in terms of the theoretical framework
established by Yan and Kuang. It is interesting to notice that the intermediate
states between the two gluon-emissions are hybrids, therefore by fitting the
data, we are able to determine the mass spectra of hybrids. The ground hybrid
states are predicted as 4.23 GeV (for charmonium) and 10.79 GeV (for bottonium)
which do not correspond to any states measured in recent experiments, thus it
may imply that very possibly, hybrids mix with regular quarkonia to constitute
physical states. Comprehensive comparisons of the potentials for hybrids whose
parameters are obtained in this scenario with the lattice results are
presented.Comment: 16 pages, 2 figur
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A regioselectivity switch in Pd-catalyzed hydroallylation of alkynes.
By exploiting the reactivity of a vinyl-Pd species, we control the regioselectivity in hydroallylation of alkynes under Pd-hydride catalysis. A monophosphine ligand and carboxylic acid combination promotes 1,5-dienes through a pathway involving isomerization of alkynes to allenes. In contrast, a bisphosphine ligand and copper cocatalyst favor 1,4-dienes via a mechanism that involves transmetalation. Our study highlights how to access different isomers by diverting a common organometallic intermediate
Electromagnetic counterparts of high-frequency gravitational waves in a rotating laboratory frame system and their detection
We consider the perturbative photon flows (PPFs, i.e., electromagnetic (EM)
counterparts) generated by the EM resonance response to high-frequency
gravitational waves (HFGWs) with additional polarization states in a rotating
laboratory frame system. It is found that when the propagating direction of the
HFGWs and the symmetrical axis of the laboratory frame system are the same, the
PPFs have the maximum value. In this case, using the rotation (the rotation of
azimuth ) of the EM detection system, all six possible polarization
states of the HFGWs can be separated and displayed. For the current
experimental conditions, it is quite prospective to detect the PPFs generated
by the HFGWs predicted in the braneworld models, the primordial black hole
theories and the interaction mechanism between astrophysical plasma and intense
EM radiation, etc., due to the large amplitudes (or high spectral densities)
and spectral characteristics of these HFGWs. Detecting the primordial HFGWs
from inflation faces great challenges at present, but it is not impossible.Comment: 29 pages, 8 figures, 1 table; corrected some minor typos; added
reference
A detail-enhanced sampling strategy in Hadamard single-pixel imaging
Hadamard single-pixel imaging (HSI) is an appealing imaging technique due to
its features of low hardware complexity and industrial cost. To improve imaging
efficiency, many studies have focused on sorting Hadamard patterns to obtain
reliable reconstructed images with very few samples. In this study, we present
an efficient HSI imaging method that employs an exponential probability
function to sample Hadamard spectra along a direction with better energy
concentration for obtaining Hadamard patterns. We also propose an XY order to
further optimize the pattern-selection method with extremely fast Hadamard
order generation while retaining the original performance. We used the
compressed sensing algorithm for image reconstruction. The simulation and
experimental results show that these pattern-selection method reliably
reconstructs objects and preserves the edge and details of images.Comment: 14 pages, 12 figures,1 tabl
Pixel is All You Need: Adversarial Trajectory-Ensemble Active Learning for Salient Object Detection
Although weakly-supervised techniques can reduce the labeling effort, it is
unclear whether a saliency model trained with weakly-supervised data (e.g.,
point annotation) can achieve the equivalent performance of its
fully-supervised version. This paper attempts to answer this unexplored
question by proving a hypothesis: there is a point-labeled dataset where
saliency models trained on it can achieve equivalent performance when trained
on the densely annotated dataset. To prove this conjecture, we proposed a novel
yet effective adversarial trajectory-ensemble active learning (ATAL). Our
contributions are three-fold: 1) Our proposed adversarial attack triggering
uncertainty can conquer the overconfidence of existing active learning methods
and accurately locate these uncertain pixels. {2)} Our proposed
trajectory-ensemble uncertainty estimation method maintains the advantages of
the ensemble networks while significantly reducing the computational cost. {3)}
Our proposed relationship-aware diversity sampling algorithm can conquer
oversampling while boosting performance. Experimental results show that our
ATAL can find such a point-labeled dataset, where a saliency model trained on
it obtained -- performance of its fully-supervised version with
only ten annotated points per image.Comment: 9 pages, 8 figure
A new theorem on quadratic residues modulo primes
Let be a prime, and let be the Legendre symbol. Let and . We mainly prove that
\[ \left|\left\lbrace N_p(a,b):\ 1\lbrace ax^2+b\rbrace _p\lbrace m\rbrace _pm\in \mathbb{Z}mp$
A new theorem on quadratic residues modulo primes
Let be a prime, and let be the Legendre symbol. Let
and . We mainly prove that
where
is the number of positive integers , and
with is the least nonnegative residue of modulo
.Comment: 6 pages. Accepted by C. R. Math. Acad, Sci. Pari
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