2015
DOI: 10.1140/epjc/s10052-015-3282-3
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$$B-S$$ B - S transition form-factors with the light-cone QCD sum rules

Abstract: In the article, we assume the two scalar nonet mesons below and above 1 GeV are allqq states, in case I, the scalar mesons below 1 GeV are the ground states, in case II, the scalar mesons above 1 GeV are the ground states. We calculate the B − S form-factors by taking into account the perturbative O(α s ) corrections to the twist-2 terms using the light-cone QCD sum rules and fit the numerical values of the form-factors into the single-pole forms, which have many phenomenological applications.

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Cited by 44 publications
(53 citation statements)
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“…To explore the link between the non-Gaussian behavior and the breakdown of the rotational inverse proportionality between diffusion coefficient and relaxation time shown in Fig. 4, we consider that for small angular displacements the P DF (∆θ) is well approximated by a Gaussian function [56], as we verified by checking the existence of a linear relation between log(P DF (∆θ)/P DF (0)) and ∆θ 2 . A Gaussian fit restricted to the range of ∆θ where this linear relationship holds allows to extract characteristic diffusion coefficients for the slow particles, D R,slow and D R,slow CR , which are also plotted as a function of the relaxation time in Figs.…”
Section: E Heterogeneities and Displacement Distribution Functionsmentioning
confidence: 99%
“…To explore the link between the non-Gaussian behavior and the breakdown of the rotational inverse proportionality between diffusion coefficient and relaxation time shown in Fig. 4, we consider that for small angular displacements the P DF (∆θ) is well approximated by a Gaussian function [56], as we verified by checking the existence of a linear relation between log(P DF (∆θ)/P DF (0)) and ∆θ 2 . A Gaussian fit restricted to the range of ∆θ where this linear relationship holds allows to extract characteristic diffusion coefficients for the slow particles, D R,slow and D R,slow CR , which are also plotted as a function of the relaxation time in Figs.…”
Section: E Heterogeneities and Displacement Distribution Functionsmentioning
confidence: 99%
“…However, in several very surprising cases, diffusion has been observed to be Fickian, that is the MSD remains linear in time, but counter-intuitively G(∆x) is non-Gaussian. This peculiar behavior has been referred to as 'Anomalous, yet Brownian' or 'Fickian yet non-Gaussian' diffusion (FNG), and has been observed in a wide variety of systems ranging from tracer colloids diffusing in suspensions of swimming microorganisms [14], colloidal particles diffusing on phospholipid tubules and entangled actin filaments [10], liposomes diffusing in nematic solutions of F-actin filaments [15], peptide coated gold nanoparticles weakly interacting with peptide coated sur-faces [16], polymer chains diffusing on a surface [17,18], colloidal particles diffusing among swimming cells [19], colloidal spheres in a matrix of larger colloidal spheres [20] and quasi 2D colloidal hard sphere fluids [21]. Several theories have been put forward to explain such behavior which include the diffusing diffusivity model [22][23][24][25] that considers dynamic heterogeneities experienced by each colloidal particle in a changing environment.…”
mentioning
confidence: 99%
“…This unexpected observation raises awareness in the field of understanding of the material and physical properties of biological systems at the cellular level. As many current studies on the mechanical properties of bacterial and cellular cytoplasm are based on monitoring the motion and diffusion of tracers (proteins or other molecules/particles) in the organisms of interest [70][71][72][73][74][75][76][77][78][79][80][81] , it is important to pay close attention to the function of these tracer molecules/particles. As evidenced in the literature, molecules with different functions display different diffusive behaviors in E. coli bacteria [32,[70][71][72][73][74][75][76][77][78][79] , which would be translated to the differences in the material properties of the bacterial cytoplasm experienced by the molecules.…”
Section: Discussionmentioning
confidence: 99%