Two-body light front wave functions from general AdS/QCD models

Alfredo Vega,Miguel Angel Martin Contreras

doi:10.1103/physrevd.102.036017

Alfredo Vega, Miguel Angel Martin Contreras

Open Access

https://doi.org/10.1103/physrevd.102.036017

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Abstract

In this work, we consider an extension to the matching procedure proposed by Brodsky and de Teramond to obtain the two-body wave functions in the light-front formalism for holographic models. We compute the light-front wave function (LFWF) considering different static dilaton fields and AdS-like geometric deformations. We also prove that this procedure holds for general AdS/QCD models in asymptotically AdS geometries.

Highlights

The hadronic wave function in terms of the quark and gluon degrees of freedom plays an important role in predictions for several QCD phenomena
Connected to form factors, up to now it has not been studied how to establish, in general, the matching procedure that allows one to relate anti–de Sitter (AdS) modes with the lightfront wave functions (LFWFs); as we mentioned above, in all of the extensions done for the holographic LFWF the authors considered the holographic proposal with the AdS metric and quadratic dilaton as an initial ansatz and introduced changes on the QCD side without paying attention to what happens with the holographic model
The relation between AdS modes and the LFWF is an interesting topic that has been restricted to the hard-wall [1] and soft-wall models with a quadratic dilaton [2] or phenomenological modifications on the QCD side [3,15,16]

Summary

INTRODUCTION

The hadronic wave function in terms of the quark and gluon degrees of freedom plays an important role in predictions for several QCD phenomena. [1,2,17,18,19,20,21]), up to now it has not been studied how to establish, in general, the matching procedure that allows one to relate AdS modes with the LFWF; as we mentioned above, in all of the extensions done for the holographic LFWF the authors considered the holographic proposal with the AdS metric and quadratic dilaton as an initial ansatz and introduced changes on the QCD side without paying attention to what happens with the holographic model. We further notice that in this limit we get the same equation as in the traditional quadratic dilaton, which is used for a wide variety of AdS/QCD models This is the key ingredient that opens the door to relate the AdS modes with the two-body LFWF for several holographic models.

TWO-BODY WAVE FUNCTION IN HOLOGRAPHIC MODELS

Example 1

Example 2

GENERAL SOFT-WALL MODEL AT HIGH Q2

EXAMPLES

CONCLUSIONS