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T Umeda - One of the best experts on this subject based on the ideXlab platform.
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charmonium spectral functions with the Variational Method in zero and finite temperature lattice qcd
Physical Review D, 2011Co-Authors: H Ohno, S Aoki, Shinji Ejiri, K Kanaya, Yu Maezawa, H Saito, T UmedaAbstract:We propose a Method to evaluate spectral functions on the lattice based on a Variational Method. On a lattice with a finite spatial extent, spectral functions consist of discrete spectra only. Adopting a Variational Method, we calculate the locations and the heights of spectral functions at low-lying discrete spectra. We first test the Method in the case of analytically solvable free Wilson quarks at zero and finite temperatures and confirm that the Method well reproduces the analytic results for low-lying spectra. We find that we can systematically improve the results by increasing the number of trial states. We then apply the Method to calculate the charmonium spectral functions for S and P-wave states at zero-temperature in quenched QCD and compare the results with those obtained using the conventional maximum entropy Method (MEM). The results for the ground state are consistent with the location and the area of the first peak in spectral functions from the MEM, while the Variational Method leads to a mass which is closer to the experimental value for the first excited state. We also investigate the temperature dependence of the spectral functions for S-wave states below and above T{sub c}. We obtain no clear evidences formore » dissociation of J/{psi} and {eta}{sub c} up to 1.4T{sub c}.« less
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charmonium spectral functions with the Variational Method in zero and finite temperature lattice qcd
Physical Review D, 2011Co-Authors: H Ohno, S Aoki, Shinji Ejiri, K Kanaya, Yu Maezawa, H Saito, T UmedaAbstract:We propose a Method to evaluate spectral functions on the lattice based on a Variational Method. On a lattice with a finite spatial extent, spectral functions consist of discrete spectra only. Adopting a Variational Method, we calculate the locations and the heights of spectral functions at low-lying discrete spectra. We first test the Method in the case of analytically solvable free Wilson quarks at zero and finite temperatures and confirm that the Method well reproduces the analytic results for low-lying spectra. We find that we can systematically improve the results by increasing the number of trial states. We then apply the Method to calculate the charmonium spectral functions for $S$ and $P$-wave states at zero-temperature in quenched QCD and compare the results with those obtained using the conventional maximum entropy Method (MEM). The results for the ground state are consistent with the location and the area of the first peak in spectral functions from the MEM, while the Variational Method leads to a mass which is closer to the experimental value for the first excited state. We also investigate the temperature dependence of the spectral functions for $S$-wave states below and above ${T}_{c}$. We obtain no clear evidences for dissociation of $J/\ensuremath{\psi}$ and ${\ensuremath{\eta}}_{c}$ up to $1.4{T}_{c}$.
Y.z. Chen - One of the best experts on this subject based on the ideXlab platform.
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evaluation of the t stress and stress intensity factor for a cracked plate in general case using eigenfunction expansion Variational Method
Fatigue & Fracture of Engineering Materials & Structures, 2008Co-Authors: Y.z. Chen, X.y. Lin, Z. X. WangAbstract:This paper investigates the T-stress and stress intensity factor for a cracked plate in general case. In the general case, the shape of boundary and the applied loading are arbitrary. The eigenfunction expansion Variational Method (EEVM) is developed to evaluate the T-stress and stress intensity factor. For the traction boundary value problem, the EEVM is equivalent to the theorem of least potential energy in elasticity. Therefore, the EEVM possesses a clear physical meaning and it does not depend on any boundary collocation scheme. Several numerical examples are presented, which include: (1) a line crack in circular plate and (2) a line crack in rectangular plate. Numerical examination for convergence in an example is carried out.
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Eigenfunction expansion Variational Method for stress intensity factor and T-stress evaluation of a circular cracked plate
Acta Mechanica, 2007Co-Authors: Y.z. Chen, X.y. LinAbstract:In this paper, the eigenfunction expansion Variational Method (Abbreviated as EEVM) is developed to solve the T-stress problem of the circular cracked plate. In the traction boundary value problem, EEVM is equivalent to the theorem of least potential energy in elasticity. Therefore, EEVM possesses a clear physical meaning. EEVM does not need any boundary collocation scheme. For the circular cracked plate, the following boundary value problems are solved: (a) with a uniform normal loading on the boundary, (b) with a partial loading on the boundary, (c) under mixed boundary condition. For the circular cracked plate with applied concentrated forces, after using the superposition principle and EEVM, the boundary value problem is solved. In the numerical examples, many computed results for stress intensity factor (SIF) and T-stress are presented. Some of computed results for T-stress are first presented in this paper.
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eigenfunction expansion Variational Method for the solution of a cusp crack problem in a finite plate
Acta Mechanica, 2004Co-Authors: Y.z. ChenAbstract:In this paper, the EEF (eigenfunction expansion form) for the cusp crack in a finite plate is obtained, and the EEVM (eigenfunction expansion Variational Method) is used to solve the cusp crack problem in a finite plate. Each term in the EEF satisfies the governing equation of elasticity and the traction free condition along the cusp crack. As a result of using EEVM, the final solution for complex potentials is obtainable. It is found that the slenderness of the cusp crack has a significant influence to the SIF (stress intensity factor) at the crack tip. Particular attention is paid to a compression loading applied in the direction of the cusp crack axis. This can make an explanation for the rupture of rock with cusp crack under compression. Finally, numerical examples with the calculated results are presented.
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stress analysis of a cylindrical bar with a spherical cavity or rigid inclusion by the eigenfunction expansion Variational Method
International Journal of Engineering Science, 2004Co-Authors: Y.z. ChenAbstract:Axisymmetric tension problem of a round bar containing a spherical cavity or a rigid inclusion is considered in this paper. The bar has a finite length. In order to solve the problem, an eigenfunction expansion form is suggested. The eigenfunction always satisfies the governing equations of elasticity and the traction free condition on the surface of sphere, or the fixed displacement condition on the surface of sphere. The undetermined coefficients in the eigenfunction expansion form are determined by the use of the Variational Method in elasticity. The whole process of solution is called the eigenfunction expansion Variational Method (abbreviated as EEVM) in this paper. The solutions for two cases, one for the bar containing a spherical cavity, other for the bar containing a spherical inclusion, are obtained. Finally, some numerical examples are given and some stress concentration factors for the problem are presented.
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investigation of stress singularity coefficient for a finite plate containing rigid line
Engineering Fracture Mechanics, 1991Co-Authors: Y.z. ChenAbstract:Abstract The eigenfunction expansion Variational Method (abbreviated as EEVM) is proposed to determine the stress singularity coefficients for a finite plate containing the rigid line. In the Method, the undetermined coefficients in the truncated eigenfunction expansion form are determined by using the Variational Method. To explain the use of this Method, several numerical examples are given.
H Ohno - One of the best experts on this subject based on the ideXlab platform.
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charmonium spectral functions with the Variational Method in zero and finite temperature lattice qcd
Physical Review D, 2011Co-Authors: H Ohno, S Aoki, Shinji Ejiri, K Kanaya, Yu Maezawa, H Saito, T UmedaAbstract:We propose a Method to evaluate spectral functions on the lattice based on a Variational Method. On a lattice with a finite spatial extent, spectral functions consist of discrete spectra only. Adopting a Variational Method, we calculate the locations and the heights of spectral functions at low-lying discrete spectra. We first test the Method in the case of analytically solvable free Wilson quarks at zero and finite temperatures and confirm that the Method well reproduces the analytic results for low-lying spectra. We find that we can systematically improve the results by increasing the number of trial states. We then apply the Method to calculate the charmonium spectral functions for S and P-wave states at zero-temperature in quenched QCD and compare the results with those obtained using the conventional maximum entropy Method (MEM). The results for the ground state are consistent with the location and the area of the first peak in spectral functions from the MEM, while the Variational Method leads to a mass which is closer to the experimental value for the first excited state. We also investigate the temperature dependence of the spectral functions for S-wave states below and above T{sub c}. We obtain no clear evidences formore » dissociation of J/{psi} and {eta}{sub c} up to 1.4T{sub c}.« less
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charmonium spectral functions with the Variational Method in zero and finite temperature lattice qcd
Physical Review D, 2011Co-Authors: H Ohno, S Aoki, Shinji Ejiri, K Kanaya, Yu Maezawa, H Saito, T UmedaAbstract:We propose a Method to evaluate spectral functions on the lattice based on a Variational Method. On a lattice with a finite spatial extent, spectral functions consist of discrete spectra only. Adopting a Variational Method, we calculate the locations and the heights of spectral functions at low-lying discrete spectra. We first test the Method in the case of analytically solvable free Wilson quarks at zero and finite temperatures and confirm that the Method well reproduces the analytic results for low-lying spectra. We find that we can systematically improve the results by increasing the number of trial states. We then apply the Method to calculate the charmonium spectral functions for $S$ and $P$-wave states at zero-temperature in quenched QCD and compare the results with those obtained using the conventional maximum entropy Method (MEM). The results for the ground state are consistent with the location and the area of the first peak in spectral functions from the MEM, while the Variational Method leads to a mass which is closer to the experimental value for the first excited state. We also investigate the temperature dependence of the spectral functions for $S$-wave states below and above ${T}_{c}$. We obtain no clear evidences for dissociation of $J/\ensuremath{\psi}$ and ${\ensuremath{\eta}}_{c}$ up to $1.4{T}_{c}$.
K Kanaya - One of the best experts on this subject based on the ideXlab platform.
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charmonium spectral functions with the Variational Method in zero and finite temperature lattice qcd
Physical Review D, 2011Co-Authors: H Ohno, S Aoki, Shinji Ejiri, K Kanaya, Yu Maezawa, H Saito, T UmedaAbstract:We propose a Method to evaluate spectral functions on the lattice based on a Variational Method. On a lattice with a finite spatial extent, spectral functions consist of discrete spectra only. Adopting a Variational Method, we calculate the locations and the heights of spectral functions at low-lying discrete spectra. We first test the Method in the case of analytically solvable free Wilson quarks at zero and finite temperatures and confirm that the Method well reproduces the analytic results for low-lying spectra. We find that we can systematically improve the results by increasing the number of trial states. We then apply the Method to calculate the charmonium spectral functions for S and P-wave states at zero-temperature in quenched QCD and compare the results with those obtained using the conventional maximum entropy Method (MEM). The results for the ground state are consistent with the location and the area of the first peak in spectral functions from the MEM, while the Variational Method leads to a mass which is closer to the experimental value for the first excited state. We also investigate the temperature dependence of the spectral functions for S-wave states below and above T{sub c}. We obtain no clear evidences formore » dissociation of J/{psi} and {eta}{sub c} up to 1.4T{sub c}.« less
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charmonium spectral functions with the Variational Method in zero and finite temperature lattice qcd
Physical Review D, 2011Co-Authors: H Ohno, S Aoki, Shinji Ejiri, K Kanaya, Yu Maezawa, H Saito, T UmedaAbstract:We propose a Method to evaluate spectral functions on the lattice based on a Variational Method. On a lattice with a finite spatial extent, spectral functions consist of discrete spectra only. Adopting a Variational Method, we calculate the locations and the heights of spectral functions at low-lying discrete spectra. We first test the Method in the case of analytically solvable free Wilson quarks at zero and finite temperatures and confirm that the Method well reproduces the analytic results for low-lying spectra. We find that we can systematically improve the results by increasing the number of trial states. We then apply the Method to calculate the charmonium spectral functions for $S$ and $P$-wave states at zero-temperature in quenched QCD and compare the results with those obtained using the conventional maximum entropy Method (MEM). The results for the ground state are consistent with the location and the area of the first peak in spectral functions from the MEM, while the Variational Method leads to a mass which is closer to the experimental value for the first excited state. We also investigate the temperature dependence of the spectral functions for $S$-wave states below and above ${T}_{c}$. We obtain no clear evidences for dissociation of $J/\ensuremath{\psi}$ and ${\ensuremath{\eta}}_{c}$ up to $1.4{T}_{c}$.
Shinji Ejiri - One of the best experts on this subject based on the ideXlab platform.
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charmonium spectral functions with the Variational Method in zero and finite temperature lattice qcd
Physical Review D, 2011Co-Authors: H Ohno, S Aoki, Shinji Ejiri, K Kanaya, Yu Maezawa, H Saito, T UmedaAbstract:We propose a Method to evaluate spectral functions on the lattice based on a Variational Method. On a lattice with a finite spatial extent, spectral functions consist of discrete spectra only. Adopting a Variational Method, we calculate the locations and the heights of spectral functions at low-lying discrete spectra. We first test the Method in the case of analytically solvable free Wilson quarks at zero and finite temperatures and confirm that the Method well reproduces the analytic results for low-lying spectra. We find that we can systematically improve the results by increasing the number of trial states. We then apply the Method to calculate the charmonium spectral functions for S and P-wave states at zero-temperature in quenched QCD and compare the results with those obtained using the conventional maximum entropy Method (MEM). The results for the ground state are consistent with the location and the area of the first peak in spectral functions from the MEM, while the Variational Method leads to a mass which is closer to the experimental value for the first excited state. We also investigate the temperature dependence of the spectral functions for S-wave states below and above T{sub c}. We obtain no clear evidences formore » dissociation of J/{psi} and {eta}{sub c} up to 1.4T{sub c}.« less
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charmonium spectral functions with the Variational Method in zero and finite temperature lattice qcd
Physical Review D, 2011Co-Authors: H Ohno, S Aoki, Shinji Ejiri, K Kanaya, Yu Maezawa, H Saito, T UmedaAbstract:We propose a Method to evaluate spectral functions on the lattice based on a Variational Method. On a lattice with a finite spatial extent, spectral functions consist of discrete spectra only. Adopting a Variational Method, we calculate the locations and the heights of spectral functions at low-lying discrete spectra. We first test the Method in the case of analytically solvable free Wilson quarks at zero and finite temperatures and confirm that the Method well reproduces the analytic results for low-lying spectra. We find that we can systematically improve the results by increasing the number of trial states. We then apply the Method to calculate the charmonium spectral functions for $S$ and $P$-wave states at zero-temperature in quenched QCD and compare the results with those obtained using the conventional maximum entropy Method (MEM). The results for the ground state are consistent with the location and the area of the first peak in spectral functions from the MEM, while the Variational Method leads to a mass which is closer to the experimental value for the first excited state. We also investigate the temperature dependence of the spectral functions for $S$-wave states below and above ${T}_{c}$. We obtain no clear evidences for dissociation of $J/\ensuremath{\psi}$ and ${\ensuremath{\eta}}_{c}$ up to $1.4{T}_{c}$.
