Static and dynamic properties of heavy light mesons in infinite mass limit

We study the transitions between the different color states of a static quark-antiquark pair, singlet and octet, in a thermal medium. This is done non-perturbatively exploiting the infinite mass limit of QCD. This study is interesting because it can be used for future developments within the framework of Effective Field Theories (EFTs) and because it can be combined with other techniques, like lattice QCD or AdS/CFT, to gain non-perturbative information about the evolution of quarkonium in a medium. We also study the obtained expressions in the large Nc limit. This allows us to learn lessons that are useful to simplify phenomenological models of quarkonium in a plasma.

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The use of modelling of impacts exerted by means of transport on the environment for ensuring safety

Scientific Journal of the Military University of Land Forces ◽

10.5604/01.3001.0012.2503 ◽

2018 ◽

Vol 188 (2) ◽

pp. 162-175

Author(s):

Joanna Bril ◽

Edward Rydygier

Keyword(s):

Rigid Body ◽

Half Space ◽

Dynamic Properties ◽

Elastic Half Space ◽

Transport Systems ◽

Concentrated Force ◽

Foundation Soil ◽

Infinite Mass ◽

Model Research ◽

Surface Rayleigh Wave

The article presents the model research on impacts exerted by means of transport on the structures. In modelling the dynamics of transport systems the dynamic properties of the ground forming the foundation soil for tracks or roadways have been taken into account. The ground has been modelled as an elastic half-space. The dynamics of an infinite mass band being in contact with an elastic half-space has been investigated. As part of the research on impacts exerted by means of transport on structures a model of a problem has been examined where an automotive vehicle, representing a concentrated force in motion, is in contact with a roadway described as a rigid body coupled with an elastic half-space. It has been demonstrated that a surface (Rayleigh) wave propagates in the ground, being a continuous (elastic) medium, and acts on a structure modelled as a rigid body. The research results have been presented in the form of vertical and horizontal transmittances of the ground for different frequencies of loading with different unit forces.

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Uraltsev's and other sum rules, theory and phenomenology of D**'s

International Journal of Modern Physics A ◽

10.1142/s0217751x15430095 ◽

2015 ◽

Vol 30 (10) ◽

pp. 1543009 ◽

Cited By ~ 2

Author(s):

Alain Le Yaouanc ◽

Olivier Pène

Keyword(s):

Lattice Qcd ◽

Quark Model ◽

Sum Rules ◽

Experimental Situation ◽

Semileptonic Decays ◽

Physical Situation ◽

Mass Limit ◽

Quark Masses ◽

Infinite Mass ◽

Quark Models

We first discuss Uraltsev's and other sum rules constraining the B → D**(L = 1) weak transitions in the infinite mass limit, and compare them with dynamical approaches in the same limit. After recalling these well established facts, we discuss how to apply infinite mass limit to the physical situation. We provide predictions concerning semileptonic decays and non-leptonic ones, based on quark models. We then present in more detail the dynamical approaches: the relativistic quark model à la Bakamjian–Thomas and lattice QCD. We summarise lattice QCD results in the infinite mass limit and compare them to the quark model predictions. We then present preliminary lattice QCD results with finite b and c quark masses. A systematic comparison between theory and experiment is performed. We show that some large discrepancies exist between different experiments. Altogether the predictions at infinite mass are in fair agreement with experiment for non-leptonic decays contrary to what happens for semileptonic decays. We conclude by considering the prospects to clarify both the experimental situation, the theoretical one and the comparison between both.

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Aspects of massive gauge theories on three sphere in infinite mass limit

Journal of High Energy Physics ◽

10.1007/jhep01(2019)090 ◽

2019 ◽

Vol 2019 (1) ◽

Cited By ~ 1

Author(s):

Kazuma Shimizu

Keyword(s):

Gauge Theories ◽

Mass Limit ◽

Three Sphere ◽

Infinite Mass

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High-energy limit versus infinite-mass limit in the Coulomb problem

Journal of Physics A Mathematical Nuclear and General ◽

10.1088/0305-4470/7/18/007 ◽

1974 ◽

Vol 7 (18) ◽

pp. 2273-2283

Author(s):

W Dittrich

Keyword(s):

High Energy ◽

Mass Limit ◽

Energy Limit ◽

High Energy Limit ◽

Coulomb Problem ◽

Infinite Mass

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Note on an Infinite-Mass Limit of the Higgs Model

Progress of Theoretical Physics ◽

10.1143/ptp.51.628 ◽

1974 ◽

Vol 51 (2) ◽

pp. 628-630

Author(s):

S.-i. Tamura

Keyword(s):

Higgs Model ◽

Mass Limit ◽

Infinite Mass

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Isgur–Wise function and a new approach to potential model

International Journal of Modern Physics A ◽

10.1142/s0217751x1650189x ◽

2016 ◽

Vol 31 (35) ◽

pp. 1650189 ◽

Cited By ~ 4

Author(s):

Tapashi Das ◽

D. K. Choudhury ◽

K. K. Pathak

Keyword(s):

Wave Function ◽

Ground State ◽

Potential Model ◽

Form Factors ◽

Mass Limit ◽

Finite Mass ◽

New Approach ◽

Cornell Potential ◽

Integration Limit ◽

Light Mesons

Considering the Cornell potential [Formula: see text], we have revisited the Dalgarno’s method of perturbation by incorporating two scales [Formula: see text] and [Formula: see text] as integration limit so that the perturbative procedure can be improved in a potential model. With the improved version of the wave function the ground state masses of the heavy–light mesons [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] are computed. The slopes and curvatures of the form factors of semileptonic decays of heavy–light mesons in both HQET limit and finite mass limit are calculated and compared with the available data.

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