2025/07/22 by G. R. Boroun, Boroun, G. R.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Stochastic processes and statistical mechanics #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.2507.16487
openalex publication_date 2025/07/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The longitudinal structure function for nucleons and nuclei is considered at fixed √(s) and Q2 to the minimum value of x given by Q2/s. This is done using the expansion method and color dipole model in the next-to-leading order approximation. The extracted longitudinal structure functions were consistent with HERA hepdata [ https://www.hepdata.net/record/ins1377206] and the determination of FL at x=Q2/s [Frank E.Taylor, Phys. Rev. D \bf111, 052001 (2025)] at moderate and large Q2 values. The results, consistent with the dipole picture at low Q2 values, show that the longitudinal structure function is small as expected due to the transverse polarization of the exchanged photon and the strong suppression of the dominant gluon component. Nonlinear corrections to the nuclear longitudinal structure function at low values of x and Q2 are also considered. These results may enhance the deep inelastic scattering neutral current data in future colliders at low x and low Q2. The longitudinal structure functions for deuterium at low four-momentum transfer squared, Q2<1~GeV2 at the LO and NLO approximations are determined and compared with the JLab E00-002 data.