Abstract

The form-factors for the transition $ N^*(1535)\to N $ induced by isovector and isoscalar axial currents within the framework of light-cone QCD sum rules by using the most general form of the interpolating current are calculated. In numerical calculations, we use two sets of values of input parameters. It is observed that the $ Q^2 $ dependence of the form-factor $ G_A $ can be described by the dipole form. Moreover, the form-factors $ G_P^{(S)} $ are found to be highly sensitive to the variations in the auxiliary parameter $ \beta $.

Highlights

  • Nucleon form-factors are fundamental quantities for understanding the inner structure of hadrons at low energies

  • Motivated by the prospective experiments at Jefferson Laboratory (JLab), MAMI, we aim to study the form-factors for the transition NÃð1535Þ → N induced by isovector and isoscalar axial currents in the framework of the light cone sum rules (LCSR)

  • (v) The moduli of the form factor GP at β > 0 are approximately twice larger for the β < 0 case for both set of parameters. (vi) The values of GT and GST for both set of parameters and any values of β are smaller than the values of the form-factors GðASÞ and GðPSÞ

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Summary

Introduction

Nucleon form-factors are fundamental quantities for understanding the inner structure of hadrons at low energies. The electromagnetic form-factors of nucleons are studied in a wide range of momentum transfer squares (see [1]). The electromagnetic form-factors within the light cone sum rules (LCSR) were comprehensively studied in many works (see, e.g., [2,3,4,5,6]). Unlike the electromagnetic form-factors, those induced by isovector and isoscalar axial currents are not measured. The determination of the axial form-factors can give very useful information on the flavor structure and spin content of nucleon resonances. The study of these form-factors receives special attention for understanding the structure of nucleon resonances

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