Nucleon and nuclear structure functions with nonperturbative and higher order perturbative QCD effects

2019/03/20 by F. Zaidi, H. Haider, M. Sajjad Athar +3
Physics and Astronomy · #Energy (signal processing) #High-Energy Particle Collisions Research #Mathematical physics #Nuclear matter #Nuclear physics #Nuclear structure #Nucleon #Order (exchange) #Parametrization (atmospheric modeling) #Particle physics #Particle physics theoretical and experimental studies #Parton #Perturbative QCD #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Renormalon #Twist #hep-ph

paper · pdf · doi:10.1103/physrevd.99.093011

published as Phys. Rev. D 99, 093011 (2019) · arXiv admin note: text overlap with arXiv:1705.09903

arxiv created 2019/03/20 · openalex publication_date 2019/05/28 · arxiv updated 2019/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We have studied the nucleon structure functions F_iN^EM(x,Q²), i=1, 2, by including contributions due to the higher order perturbative QCD effect up to next-to-next-to-leading order (NNLO) and the nonperturbative effects due to the kinematical and dynamical higher twist (HT) effects. The numerical results for F_iN^EM(x,Q²) are obtained using Martin, Motylinski, Harland-Lang, Thorne 2014 NLO and NNLO nucleon parton distribution functions (PDFs). The dynamical HT correction has been included following the renormalon approach as well as the phenomenological approach, and the kinematical HT effect is incorporated using the works of Schienbein et al. These nucleon structure functions have been used as an input to calculate the nuclear structure functions F_iA^EM(x,Q²). In a nucleus, the nuclear corrections arise because of the Fermi motion, binding energy, nucleon correlations, mesonic contribution, and shadowing and antishadowing effects. These nuclear corrections are taken into account in the numerical calculations to obtain the nuclear structure functions F_iA^EM(x,Q²), for the various nuclear targets such as ¹²C, ²⁷Al, ⁵⁶Fe, ⁶⁴Cu, ¹¹⁸Sn, ¹⁹⁷Au, and ²⁰⁸Pb which are of experimental interest. The effect of isoscalarity correction for nonisoscalar nuclear targets has also been studied. The results for the F_iA^EM(x,Q²) are compared with nCTEQ nuclear PDFs parametrization as well as with the experimental results from JLab, SLAC, and NMC in the kinematic region of 0.1\ensuremath≤x\ensuremath≤0.8 for several nuclei. We have also calculated the ratio R_A(x,Q²)=\fracF_2A(x,Q²)2xF_1A(x,Q²) in the moderate Q² region for various nuclei and compared the results with the available experimental data from JLab to examine the validity of the Callan-Gross relation in the nuclei. We also make predictions for the nuclear structure functions in ¹²C, ⁶⁴Cu, and ¹⁹⁷Au in the kinematic region of the proposed experiment at JLab.

Citations

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