scholarly journals Double Pole Method in QCD Sum Rules for Vector Mesons

2021 ◽  
Author(s):  
Mikael Souto Maior de Sousa ◽  
Rômulo Rodrigues da Silva
Keyword(s):  
Excited State ◽  
Spectral Density ◽  
Sum Rules ◽  
Ground States ◽  
Experimental Results ◽  
The Other ◽  
New Method ◽  
Vector Mesons ◽  
Qcd Sum Rules ◽  
Simple Modification

The QCD Sum Rules approach had proposed by Shifman, Vaishtein Zakharov Novikov, Okun and Voloshin (SVZNOV) in 1979 and has been used as a method for extracting useful properties of hadrons having the lowest mass, called as ground states. On the other hand, the most recent experimental results make it clear that the study of the excited states can help to solve many puzzles about the new XYZ mesons structure. In this paper, we propose a new method to study the first excited state of the vector mesons, in particular we focus our attention on the study of the ρ vector mesons, that have been studied previously by SVZNOV method. In principle, the method that we used is a simple modification to the shape of the spectral density of the SVZNOV method, which is written as “pole + continuum”, to a new functional form “pole + pole + continuum”. In this way, We may obtain the ρ and the ρ 2 S masses and also their decay constants.

scholarly journals The Radiative Δ(1600) → γN Decay in the Light-Cone QCD Sum Rules

Universe ◽  
2021 ◽  
Vol 7 (8) ◽  
pp. 255
Author(s):  
Haifa I. Alrebdi ◽  
Thabit Barakat
Keyword(s):  
Decay Rate ◽  
Light Cone ◽  
Magnetic Dipole Moment ◽  
Sum Rules ◽  
Electric Quadrupole ◽  
The Other ◽  
Electric Quadrupole Moment ◽  
Multipole Moments ◽  
Qcd Sum Rules ◽  
Strongly Agree

Within the framework of the light-cone QCD sum rules method (LCSR’s), the radiative Δ(1600)→γN decay is studied. In particular, the magnetic dipole moment GM1(0) and the electric quadrupole moment GE1(0) are estimated. We also calculate the ratio REM=−GE1(0)GM1(0) and the decay rate. The predicted multipole moments and the decay rate strongly agree with the existing experimental results as well as with the other available phenomenological approaches.

A modified Runge-Kutta method

SIMULATION ◽  
1968 ◽  
Vol 10 (5) ◽  
pp. 221-223 ◽  
Author(s):  
A.S. Chai
Keyword(s):  
Error Estimate ◽  
Linear Combination ◽  
Experimental Results ◽  
The Other ◽  
New Method ◽  
Kutta Method ◽  
Starting Values ◽  
Runge Kutta Method ◽  
Runge Kutta ◽  
A Minor

It is possible to replace k2 in a 4th-order Runge-Kutta for mula (also Nth-order 3 ≤ N ≤ 5) by a linear combination of k1 and the ki's in the last step, using the same procedure for computing the other ki's and y as in the standard R-K method. The advantages of the new method are: It re quires one less derivative evaluation, provides an error estimate at each step, gives more accurate results, and needs a minor change to switch to the RK to obtain the starting values. Experimental results are shown in verification of the for mula.

scholarly journals Vector mesons at finite temperature and QCD sum rules

2010 ◽  
Vol 81 (6) ◽  
Author(s):  
Youngshin Kwon ◽  
Chihiro Sasaki ◽  
Wolfram Weise
Keyword(s):  
Finite Temperature ◽  
Sum Rules ◽  
Vector Mesons ◽  
Qcd Sum Rules

scholarly journals Analysis of the DD¯⁎K System with QCD Sum Rules

2019 ◽  
Vol 2019 ◽  
pp. 1-6 ◽  
Author(s):  
Zun-Yan Di ◽  
Zhi-Gang Wang
Keyword(s):  
Spectral Density ◽  
Sum Rules ◽  
Resonance State ◽  
Energy Scale ◽  
Color Singlet ◽  
Qcd Sum Rules ◽  
Optimal Energy ◽  
Numerical Result ◽  
The Future ◽  
Vacuum Condensates

In this article, we construct the color singlet-singlet-singlet interpolating current with IJP=3/21- to study the DD¯⁎K system through QCD sum rules approach. In calculations, we consider the contributions of the vacuum condensates up to dimension-16 and employ the formula μ=MX/Y/Z2-2Mc2 to choose the optimal energy scale of the QCD spectral density. The numerical result MZ=4.71-0.11+0.19 GeV indicates that there exists a resonance state Z lying above the DD¯⁎K threshold to saturate the QCD sum rules. This resonance state Z may be found by focusing on the channel J/ψπK of the decay B→J/ψππK in the future.

scholarly journals Are the new excited Ωc baryons negative parity states?

2019 ◽  
Vol 35 (01) ◽  
pp. 1950344 ◽  
Author(s):  
T. M. Aliev ◽  
S. Bilmis ◽  
M. Savci
Keyword(s):  
Sum Rules ◽  
Negative Parity ◽  
Experimental Results ◽  
Qcd Sum Rules ◽  
Quantum Numbers ◽  
Good Agreement

We calculate the mass and residue of the newly observed [Formula: see text] and [Formula: see text] states with quantum numbers [Formula: see text] and [Formula: see text] within QCD sum rules. The calculation is carried out by using the general form for interpolating current for [Formula: see text] baryon. Our predictions on masses are in good agreement with the experimental results.

scholarly journals Valid QCD sum rules for vector mesons in nuclear matter

1995 ◽  
Vol 52 (6) ◽  
pp. 3344-3352 ◽  
Author(s):  
Xuemin Jin ◽  
Derek B. Leinweber
Keyword(s):  
Nuclear Matter ◽  
Sum Rules ◽  
Vector Mesons ◽  
Qcd Sum Rules

scholarly journals Decay constants of the charmed vector mesons D⁎ and Ds⁎ from QCD sum rules

2014 ◽  
Vol 735 ◽  
pp. 12-18 ◽  
Author(s):  
Wolfgang Lucha ◽  
Dmitri Melikhov ◽  
Silvano Simula
Keyword(s):  
Sum Rules ◽  
Vector Mesons ◽  
Qcd Sum Rules ◽  
Decay Constants

NON-PERTURBATIVE QCD CHARGE ASYMMETRIC CORRECTIONS TO THE NN SCATTERING LENGTHS

1989 ◽  
Vol 04 (08) ◽  
pp. 713-719
Author(s):  
RIAZUDDIN ◽  
FAYYAZUDDIN
Keyword(s):  
Sum Rules ◽  
Experimental Information ◽  
Coupling Constants ◽  
The Other ◽  
Nuclear Forces ◽  
Charge Symmetry Breaking ◽  
Qcd Sum Rules ◽  
Charge Symmetry ◽  
Light Baryon ◽  
Scattering Lengths

The effect of the vacuum asymmetry [Formula: see text] on π0pp and π0nn coupling constants has been estimated in the QCD sum rules approach. This effect can contribute to charge symmetry breaking in nuclear forces (CSB). The experimental information on CSB is used to estimate εd and the other vacuum asymmetry. [Formula: see text]. It is shown that the values of εs larger than 0.3 still allowed by QCD sum rules in light baryon and meson sectors are not possible.

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