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

Haifa I Alrebdi,Thabit Barakat

doi:10.3390/universe7080255

Haifa I Alrebdi, Thabit Barakat

Open Access

https://doi.org/10.3390/universe7080255

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Abstract

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.

Highlights

Today, more than twenty excited baryonic states have been classified within octet and decuplet sectors
The electromagnetic transitions within given multiplets provide a possible source of information on the long-range interaction in the domain of quark confinement and represent a possible test for the quantum chromodynamics (QCD) in the low-energy regime
In the framework of the light-cone QCD sum rules (LCSR) strategy discussed in the previous section, the numerical values of the multipole moments of Equation (19) can be obtained via Equation (18)

Summary

Introduction

More than twenty excited baryonic states have been classified within octet and decuplet sectors. The correlation function Πμν(p, q) of Equation (1) is to be recalculated at the deep Euclidean region, where p2 0 and (p + q) 0 by using the OPE in terms of the photon DAs with an increasing twist For this purpose, we use the explicit expressions of the interpolating currents for both baryons with the spin J = 3/2 and J = 1/2. U) is the leading photon wave function, χ(μ) is the magnetic susceptibility of the quark condensate, and the expressions for I1 and I2 and the numerical values of the relevant parameters are given in [23] After calculating both sides of the correlation function, hadronic and QCD, at this point, we matched the coefficients of the chosen structures from both sides of Equations (12) and (13).

Numerical Analysis

Findings

Conclusions