5,363 research outputs found

    Partial wave effects in the heavy quarkonium radiative electromagnetic decays

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    In a previous paper \cite{Bc}, it was pointed out that the wave functions of all particles are not pure waves, besides the main partial waves, they all contain {other partial waves}. It is very interesting to know what role these different partial waves play in particle transitions. Therefore, by using the Bethe-Salpeter equation method, we study the radiative electromagnetic decays ψ→γχcJ\psi\rightarrow\gamma\chi_{_{cJ}} and Υ→γχbJ\Upsilon\rightarrow\gamma\chi_{_{bJ}} (J=0,1,2J=0,1,2). We find that for the SS and PP wave dominated states, like the ψ(2S)\psi(2S), Υ(2S)\Upsilon(2S), χcJ(1P)\chi_{_{cJ}}(1P), and χbJ(1P)\chi_{_{bJ}}(1P) etc., the dominant SS and PP waves provide main and nonrelativistic contrition to the decays; other partial waves mainly contribute to the relativistic correction. For the states like the ψ(1D)\psi(1D), Υ(2D)\Upsilon(2D), χc2(1F)\chi_{c2}(1F), and χb2(1F)\chi_{b2}(1F) etc., they are the S−P−DS-P-D mixing state dominated by DD wave or the P−D−FP-D-F mixing state dominated by FF wave. Large decay widths are found in the transitions ψ(2D)→χc2(1F)\psi(2D)\to \chi_{c2}(1F), Υ(1D)→χbJ(1P)\Upsilon(1D)\to \chi_{bJ}(1P), and Υ(2D)→χbJ(2P)\Upsilon(2D)\to \chi_{bJ}(2P) etc., which may be helpful to study the missing states χc2(1F)\chi_{c2}(1F), Υ(1D)\Upsilon(1D), and Υ(2D)\Upsilon(2D).Comment: 31 pages, 19 table

    Effects of pp-wave Interactions on Borromean Efimov Trimers in Heavy-Light Fermi Systems

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    We investigate the effects of pp-wave interactions on Efimov trimers in systems comprising two identical heavy fermions and a light particle, with mass ratios larger than 13.613.6. Our focus lies on the borromean regime where the ground-state trimer exists in the absence of dimers. Using pair-wise Lennard-Jones potentials and concentrating on the Lπ=1−L^{\pi} = 1^{-} symmetry, we explore the critical value of the interspecies ss-wave scattering length aca_{c} at which the borromean state appears in several two-component particle systems. We study the universal properties of aca_{c} and the influence of pp-wave fermion-fermion interactions on its value. Our findings show that, in the absence of pp-wave fermion-fermion interactions, aca_{c} is universally determined by the van der Waals radius and mass ratio. However, when attractive interactions between the two fermions are introduced, the formation of the borromean state becomes favored over the absence of pp-wave fermion-fermion interaction. Furthermore, we demonstrate that the pp-wave Efimov effects persist even when the fermion-fermion interaction is taken to the pp-wave unitary limit

    The Impact of Isolation Kernel on Agglomerative Hierarchical Clustering Algorithms

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    Agglomerative hierarchical clustering (AHC) is one of the popular clustering approaches. Existing AHC methods, which are based on a distance measure, have one key issue: it has difficulty in identifying adjacent clusters with varied densities, regardless of the cluster extraction methods applied on the resultant dendrogram. In this paper, we identify the root cause of this issue and show that the use of a data-dependent kernel (instead of distance or existing kernel) provides an effective means to address it. We analyse the condition under which existing AHC methods fail to extract clusters effectively; and the reason why the data-dependent kernel is an effective remedy. This leads to a new approach to kernerlise existing hierarchical clustering algorithms such as existing traditional AHC algorithms, HDBSCAN, GDL and PHA. In each of these algorithms, our empirical evaluation shows that a recently introduced Isolation Kernel produces a higher quality or purer dendrogram than distance, Gaussian Kernel and adaptive Gaussian Kernel

    Swarm Intelligence Optimization Algorithms and Their Application

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    Swarm intelligence optimization algorithm is an emerging technology tosimulate the evolution of the law of nature and acts of biological communities, it has simple and robust characteristics. The algorithm has been successfully applied in many fields. This paper summarizes the research status of swarm intelligence optimization algorithm and application progress. Elaborate the basic principle of ant colony algorithm and particle swarm algorithm. Carry out a detailed analysis of drosophila algorithm and firefly algorithm developed in recent years, and put forward deficiencies of each algorithm and direction for improvement

    Structural Engineering on Pt-Free Electrocatalysts for Dye-Sensitized Solar Cells

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    In recent decades, plenty of nanomaterials have been investigated as electrocatalysts for the replacement of the expensive platinum (Pt) counter electrode in dye-sensitized solar cells (DSSCs). The key function of the electrocatalyst is to reduce tri-iodide ions to iodide ions at the electrolyte/counter electrode interface. The performance of the electrocatalyst is usually determined by two key factors, i.e., the intrinsic heterogeneous rate constant and the effective electrocatalytic surface area of the electrocatalyst. The intrinsic heterogeneous rate constant of the electrocatalyst varies by different types of materials, which can be roughly divided into five groups: non-Pt metals, carbons, conducting polymers, transition metal compounds, and their composites. The effective electrocatalytic surface area is determined by the nanostructure of the electrocatalyst. In this chapter, the nanostructural design and engineering on different types of Pt-free electrocatalysts will be systematically introduced. Also, the relationship between various nanostructures of electrocatalysts and the pertinent physical/electrochemical properties will be discussed
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