scholarly journals Quark-Antiquark Potential from a Deformed AdS/QCD

2019 ◽  
Vol 2019 ◽  
pp. 1-6 ◽  
Author(s):  
Rodrigo C. L. Bruni ◽  
Eduardo Folco Capossoli ◽  
Henrique Boschi-Filho
Keyword(s):  
Warp Factor ◽  
Zero Energy ◽  
Static Limit ◽  
Cornell Potential ◽  
Holographic Approach ◽  
Potential Parameters ◽  
Range Of Values ◽  
Goto Action

In this work we calculate the static limit of the energy for a quark-antiquark pair from the Nambu-Goto action using a holographic approach with a deformed AdS space, with warp factor exp⁡{(κz)n/n}. From this energy we derive the Cornell potential for the quark-antiquark interaction. We also find a range of values for our parameters which fits exactly the Cornell potential parameters. In particular, setting the zero energy of the Cornell potential at 0.33 fermi, we find that κ=0.56 GeV and n=1.3.

scholarly journals Dirac Equation under Scalar and Vector Generalized Isotonic Oscillators and Cornell Tensor Interaction

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
H. Hassanabadi ◽  
E. Maghsoodi ◽  
Akpan N. Ikot ◽  
S. Zarrinkamar
Keyword(s):  
Dirac Equation ◽  
Quantum Number ◽  
Tensor Interaction ◽  
Cornell Potential ◽  
Ansatz Approach ◽  
Potential Parameters ◽  
Arbitrary Quantum

Spin and pseudospin symmetries of Dirac equation are solved under scalar and vector generalized isotonic oscillators and Cornell potential as a tensor interaction for arbitrary quantum number via the analytical ansatz approach. The spectrum of the system is numerically reported for typical values of the potential parameters.

scholarly journals Parametric Study of Rupture Analysis for the Optimization of Stable Emulsion Liquid Membrane using DOE Approach

2020 ◽  
Vol 39 (3) ◽  
pp. 524-531 ◽  
Author(s):  
Raja Fahad Qureshi ◽  
Inamullah Bhatti ◽  
Khadija Qureshi ◽  
Sanam Irum Memon
Keyword(s):  
Correlation Coefficient ◽  
Aqueous Phase ◽  
Liquid Membrane ◽  
Velocity Ratio ◽  
Emulsion Liquid Membrane ◽  
Statistical Tool ◽  
Pareto Chart ◽  
Positive Effects ◽  
Potential Parameters ◽  
Range Of Values

Rupture of the membrane is considered as one of the most critical characteristics while working on wastewater treatment via emulsion liquid membrane. This paper presents a decisive study of different parameters affecting the rupture of membrane. The potential parameters which are investigated in this study include, surfactant dosage, surfactant concentration, concentration of aqueous phase, emulsification velocity, ratio of organic to aqueous phases and ratio of membrane to feed phases. The Design of Experiment (DOE) approach was used to design the experiments and the results were analyzed statistically through a software Minitab-18. The study revealed that amongst all these parameters, two are the highly significant playing a crucial role in rupture of the membrane. These significant parameters are emulsification velocity and ratio of the organic to aqueous phase. Pareto chart being used as an effective statistical tool implied that the emulsification velocity and ratio of the organic to aqueous phase have negative and positive effects on the response respectively. Using the Response Optimizer tool, the optimum levels of all the potential parameters were statistically calculated followed by an experimental verification resulting a least minimum rupture of 36%. A statistical model was developed in this study and the values of predicted rupture were compared with the experimental results. The calculated correlation coefficient R2 of the developed model was 0.998 and the accuracy of correlation coefficient deduced that the developed model of rupture will precisely calculate the rupture over the range of values.

Study of the Dirac oscillator in the presence of vector and scalar potentials in the cosmic string space-time

2020 ◽  
Vol 35 (21) ◽  
pp. 2050179
Author(s):  
Hao Chen ◽  
Zheng-Wen Long ◽  
Yi Yang ◽  
Chao-Yun Long
Keyword(s):  
Cosmic String ◽  
Topological Defect ◽  
Energy Levels ◽  
Bound State ◽  
Space Time ◽  
Dirac Oscillator ◽  
Ansatz Method ◽  
Cornell Potential ◽  
Scalar Potentials ◽  
Potential Parameters

In this paper, we use the functional Bethe ansatz method to solve the radial problem of the Dirac oscillator in cosmic string space-time, and its general solution under the Killingbeck potential plus isotonic oscillator potential in the limit of the spin and the pseudo-spin symmetries are further presented. Corresponding to the expressions of energies and wave function of bound state and first excited state are given. Furthermore, some particular cases including the Cornell potential, the Kratzer potential, the Killingbeck potential and the isotonic oscillator potentials are also addressed. It shows that the energy levels of the systems depend explicitly on the potential parameters [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and the angular deficit parameter [Formula: see text] which characterize topological defect.

scholarly journals Mobility and Diffusion. II. Dependence on Experimental Variables and Interaction Potential for Alkali Ions in Rare Gases

1973 ◽  
Vol 26 (2) ◽  
pp. 187 ◽  
Author(s):  
RE Robson ◽  
Kailash Kumar
Keyword(s):  
Interaction Potential ◽  
Diffusion Coefficients ◽  
Close Agreement ◽  
Rare Gases ◽  
Alkali Ions ◽  
Potential Parameters ◽  
And Diffusion ◽  
Range Of Values

Formulae derived in Part I are used here to calculate mobility and diffusion coefficients for K + ions in helium and in neon gases. The formulae are evaluated by inverting truncated matrices, and the effect of using successively larger matrices is investigated numerically. It is found that close agreement with the measurement .of ion mobilities can be obtained over a significant range of values of E/no .and this determines the potential parameters of an assumed 12-6-4 potential within narrow limits. Diffusion coefficients are calculated from the potential so obtained. The sensitivity of the mobility to variations in potential parameters is discussed and some observations of interest for future experiments are made.

scholarly journals Cornell Potential Parameters for S-Wave Heavy Quarkonia

2008 ◽  
Vol 52 (4) ◽  
pp. 1151-1154 ◽  
Author(s):  
Hee Sok Chung ◽  
Jungil Lee ◽  
Daekyoung Kang
Keyword(s):  
Heavy Quarkonia ◽  
S Wave ◽  
Cornell Potential ◽  
Potential Parameters

The study of the generalized boson oscillator in a chiral conical space–time

2020 ◽  
Vol 35 (20) ◽  
pp. 2050107
Author(s):  
Hao Chen ◽  
Zheng-Wen Long ◽  
Yi Yang ◽  
Zi-Long Zhao ◽  
Chao-Yun Long
Keyword(s):  
Wave Function ◽  
Energy Spectrum ◽  
Space Time ◽  
Global Structure ◽  
Rotation Parameter ◽  
Radial Equation ◽  
Cornell Potential ◽  
Uvarov Method ◽  
Potential Parameters ◽  
Negligible Influence

Our work mainly study the relativistic generalized boson oscillator namely generalized Duffin–Kemmer–Petiau (DKP) oscillator with the function [Formula: see text] considered as the Cornell potential under the chiral conical space–time background. We obtain the wave function and energy spectrum of radial equation by using commonly used the Nikiforov–Uvarov method. It is shows that the energy spectrum of the generalized DKP oscillator depend explicitly on the angular deficit [Formula: see text], related rotation parameter [Formula: see text] and torsion parameter [Formula: see text], which characterize the global structure of the metric in the chiral conical space–time. In addition, the Cornell potential parameters [Formula: see text] have non-negligible influence on the energy spectrum of the studied systems.

scholarly journals Cornell Potential: A Neural Network Approach

2019 ◽  
Vol 2019 ◽  
pp. 1-9 ◽  
Author(s):  
Halil Mutuk
Keyword(s):  
Neural Network ◽  
Experimental Data ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Linear Potential ◽  
Network Approach ◽  
Neural Network Approach ◽  
Cornell Potential ◽  
Potential Parameters ◽  
Good Agreement

We solved Schrödinger equation with Cornell potential (Coulomb-plus-linear potential) by using neural network approach. Four different cases of Cornell potential for different potential parameters were used without a physical relevance. Besides that charmonium, bottomonium and bottom-charmed spin-averaged spectra were also calculated. Obtained results are in good agreement with the reference studies and available experimental data.

Assessment of the incorporation of revascularized fibula grafts used for mandibular reconstruction with F-18-PET

2001 ◽  
Vol 40 (02) ◽  
pp. 51-58 ◽  
Author(s):  
H. Schliephake ◽  
van den Hoff ◽  
W. H. Knapp ◽  
G. Berding
Keyword(s):  
Blood Flow ◽  
Regional Blood Flow ◽  
Venous Blood ◽  
Mandibular Reconstruction ◽  
Reference Region ◽  
Osteoblastic Activity ◽  
Non Union ◽  
Range Of Values ◽  
Measured Input

Summary Aim: Determination of the range of regional blood flow and fluoride influx during normal incorporation of revascularized fibula grafts used for mandibular reconstruction. Evaluation, if healing complications are preceded by typical deviations of these parameters from the normal range. Assessment of the potential influence of using “scaled population-derived” instead of “individually measured” input functions in quantitative analysis. Methods: Dynamic F-l 8-PET images and arterialized venous blood samples were obtained in 11 patients early and late after surgery. Based on kinetic modeling regional blood flow (K1) and fluoride influx (Kmlf) were determined. Results: In uncomplicated cases, early postoperative graft K1 - but not Kmlf -exceeded that of vertebrae as reference region. Kmn values obtained in graft necrosis (n = 2) were below the ranges of values observed in uncomplicated healing (0.01 13-0.0745 ml/min/ml) as well as that of the reference region (0.0154-0.0748). Knf values in mobile non-union were in the lower range - and those in rigid non-union in the upper range of values obtained in stable union (0.021 1-0.0694). If scaled population-derived instead of measured input functions were used for quantification, mean deviations of 23 ± 17% in K1 and 12 ± 16% in Kmlf were observed. Conclusions: Normal healing of predominantly cortical bone transplants is characterized by relatively low osteoblastic activity together with increased perfusion. It may be anticipated that transplant necrosis can be identified by showing markedly reduced F− influx. In case that measured input functions are not available, quantification with scaled population-derived input functions is appropriate if expected differences in quantitative parameters exceed 70%.

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