scholarly journals Decay properties of the $X(3872)$ through the Fierz rearrangement

2021 ◽  
Author(s):  
Hua-Xing Chen
Keyword(s):  
Decay Properties ◽  
Color Indices

Abstract We systematically construct all the tetraquark currents of J(PC)=1(++) with the quark configurations [c q][cbar qbar], [cbar q][qbar c], and [cbar c][qbar q] (q=u/d). Their relations are derived using the Fierz rearrangement of the Dirac and color indices, through which we study decay properties of the X(3872) under both the compact tetraquark and hadronic molecule interpretations. We propose to search for the X(3872) -> χc0-π, ηc-π-π, and χc1-π-π decay processes in particle experiments.

scholarly journals Decay properties of $$P_c$$ states through the Fierz rearrangement

2020 ◽  
Vol 80 (10) ◽  
Author(s):  
Hua-Xing Chen
Keyword(s):  
Branching Ratios ◽  
Strong Decay ◽  
Decay Channels ◽  
Decay Properties ◽  
Color Indices

AbstractWe systematically study hidden-charm pentaquark currents with the quark configurations $$[\bar{c} u][u d c]$$ [ c ¯ u ] [ u d c ] , $$[\bar{c} d][u u c]$$ [ c ¯ d ] [ u u c ] , and $$[\bar{c} c][u u d]$$ [ c ¯ c ] [ u u d ] . Some of their relations are derived using the Fierz rearrangement of the Dirac and color indices, and the obtained results are used to study strong decay properties of $$P_c$$ P c states as $$\bar{D}^{(*)} \varSigma _c$$ D ¯ ( ∗ ) Σ c hadronic molecules. We calculate their relative branching ratios for the $$J/\psi p$$ J / ψ p , $$\eta _c p$$ η c p , $$\chi _{c0} p$$ χ c 0 p , $$\chi _{c1} p$$ χ c 1 p , $$\bar{D}^{(*)0} \varLambda _c^+$$ D ¯ ( ∗ ) 0 Λ c + , $$\bar{D}^{0} \varSigma _c^{+}$$ D ¯ 0 Σ c + , and $$\bar{D}^{-} \varSigma _c^{++}$$ D ¯ - Σ c + + decay channels. We propose to search for the $$P_c(4312)$$ P c ( 4312 ) in the $$\eta _c p$$ η c p channel and the $$P_c(4440)/P_c(4457)$$ P c ( 4440 ) / P c ( 4457 ) in the $$\bar{D}^{0} \varLambda _c^+$$ D ¯ 0 Λ c + channel.

A Critical, Event-Related Appraisal of Denoising in Resting-State fMRI Studies

2020 ◽  
Vol 30 (10) ◽  
pp. 5544-5559 ◽  
Author(s):  
Jonathan D Power ◽  
Charles J Lynch ◽  
Babatunde Adeyemo ◽  
Steven E Petersen
Keyword(s):  
Resting State ◽  
Resting State Fmri ◽  
Critical Event ◽  
Head Motion ◽  
Functional Magnetic Resonance ◽  
Resonance Imaging ◽  
Decay Properties ◽  
Signal Decay ◽  
Biological Variables ◽  
Related Approach

Abstract This article advances two parallel lines of argument about resting-state functional magnetic resonance imaging (fMRI) signals, one empirical and one conceptual. The empirical line creates a four-part organization of the text: (1) head motion and respiration commonly cause distinct, major, unwanted influences (artifacts) in fMRI signals; (2) head motion and respiratory changes are, confoundingly, both related to psychological and clinical and biological variables of interest; (3) many fMRI denoising strategies fail to identify and remove one or the other kind of artifact; and (4) unremoved artifact, due to correlations of artifacts with variables of interest, renders studies susceptible to identifying variance of noninterest as variance of interest. Arising from these empirical observations is a conceptual argument: that an event-related approach to task-free scans, targeting common behaviors during scanning, enables fundamental distinctions among the kinds of signals present in the data, information which is vital to understanding the effects of denoising procedures. This event-related perspective permits statements like “Event X is associated with signals A, B, and C, each with particular spatial, temporal, and signal decay properties”. Denoising approaches can then be tailored, via performance in known events, to permit or suppress certain kinds of signals based on their desirability.

scholarly journals THE SMOOTHNESS OF ORBITAL MEASURES ON NONCOMPACT SYMMETRIC SPACES

2021 ◽  
pp. 1-20
Author(s):  
SANJIV KUMAR GUPTA ◽  
KATHRYN E. HARE
Keyword(s):  
Symmetric Space ◽  
Symmetric Spaces ◽  
Continuous Measure ◽  
Convolution Product ◽  
Absolutely Continuous ◽  
Regular Elements ◽  
Connected Subgroup ◽  
Decay Properties ◽  
Absolutely Continuous Measure ◽  
Special Case

Abstract Let $G/K$ be an irreducible symmetric space, where G is a noncompact, connected Lie group and K is a compact, connected subgroup. We use decay properties of the spherical functions to show that the convolution product of any $r=r(G/K)$ continuous orbital measures has its density function in $L^{2}(G)$ and hence is an absolutely continuous measure with respect to the Haar measure. The number r is approximately the rank of $G/K$ . For the special case of the orbital measures, $\nu _{a_{i}}$ , supported on the double cosets $Ka_{i}K$ , where $a_{i}$ belongs to the dense set of regular elements, we prove the sharp result that $\nu _{a_{1}}\ast \nu _{a_{2}}\in L^{2},$ except for the symmetric space of Cartan class $AI$ when the convolution of three orbital measures is needed (even though $\nu _{a_{1}}\ast \nu _{a_{2}}$ is absolutely continuous).

Comparison of the activity, selectivity and decay properties of lay and hyultrastable zeolites during the cracking of alkanes

1984 ◽  
Vol 12 (1) ◽  
pp. 105-116 ◽  
Author(s):  
A. Corma ◽  
V. Fornés ◽  
J.B. Monton ◽  
A.V. Orchilles
Keyword(s):  
Decay Properties

scholarly journals Large Time Decay of Solutions to a Linear Nonautonomous System in Exterior Domains

Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 841
Author(s):  
Toshiaki Hishida
Keyword(s):  
Evolution Operator ◽  
Large Time ◽  
Rigid Motion ◽  
Time Dependent ◽  
Energy Relation ◽  
Exterior Domains ◽  
Decay Properties ◽  
Decay Of Solutions ◽  
Whole Space ◽  
Expository Paper

In this expository paper, we study Lq-Lr decay estimates of the evolution operator generated by a perturbed Stokes system in n-dimensional exterior domains when the coefficients are time-dependent and can be unbounded at spatial infinity. By following the approach developed by the present author for the physically relevant case where the rigid motion of the obstacle is time-dependent, we clarify that some decay properties of solutions to the same system in whole space Rn together with the energy relation imply the desired estimates in exterior domains provided n≥3.

scholarly journals Prediction of Ratoon Sugarcane Family Yield and Selection Using Remote Imagery

Agronomy ◽  
2021 ◽  
Vol 11 (7) ◽  
pp. 1273
Author(s):  
James Todd ◽  
Richard Johnson
Keyword(s):  
Remote Sensing ◽  
Regression Model ◽  
Block Design ◽  
Color Space ◽  
Multiple Linear Regression Model ◽  
Cane Yield ◽  
Unmanned Aerial Systems ◽  
Family Selection ◽  
Ratoon Crop ◽  
Color Indices

Remote sensing techniques and the use of Unmanned Aerial Systems (UAS) have simplified the estimation of yield and plant health in many crops. Family selection in sugarcane breeding programs relies on weighed plots at harvest, which is a labor-intensive process. In this study, we utilized UAS-based remote sensing imagery of plant-cane and first ratoon crops to estimate family yields for a second ratoon crop. Multiple families from the commercial breeding program were planted in a randomized complete block design by family. Standard red, green, and blue imagery was acquired with a commercially available UAS equipped with a Red–Green–Blue (RGB) camera. Color indices using the CIELab color space model were estimated from the imagery for each plot. The cane was mechanically harvested with a sugarcane combine harvester and plot weights were obtained (kg) with a field wagon equipped with load cells. Stepwise regression, correlations, and variance inflation factors were used to identify the best multiple linear regression model to estimate the second ratoon cane yield (kg). A multiple regression model, which included family, and five different color indices produced a significant R2 of 0.88. This indicates that it is possible to make family selection predictions of cane weight without collecting plot weights. The adoption of this technology has the potential to decrease labor requirements and increase breeding efficiency.

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