Publications
Publication Information
| Title | Detailed Study of Quark-Hadron Duality in Spin Structure Functions of the Proton and Neutron |
| Authors | N. Sato, Victoria Lagerquist, Sebastian Kuhn |
| JLAB number | JLAB-THY-22-3610 |
| LANL number | arXiv:2205.01218 |
| Other number | DOE/OR/23177-5483 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
|
Journal Compiled for Physical Review C Page(s) 045201 | |
| Publication Abstract: | Background: The response of hadrons, the bound states of the strong force (QCD), to external probes can be described in two different, complementary frameworks: As direct interactions with their fundamental constituents, quarks and gluons, or alternatively as elastic or inelastic coherent scattering that leaves the hadrons in their ground state or in one of their excited (resonance) states. The former picture emerges most clearly in hard processes with high momentum transfer, where the hadron response can be described by the perturbative expansion of QCD, while at lower energy and momentum transfers, the resonant excitations of the hadrons dominate the cross section. The overlap region between these two pictures, where both yield similar predictions, is referred to as quark-hadron duality and has been extensively studied in reactions involving unpolarized hadrons. Some limited information on this phenomenon also exists for polarized protons, deuterons and 3He nuclei. Purpose: In this paper, we present for the first time comprehensive and detailed results on the correspondence between the extrapolated deep inelastic structure function g1 of both the proton and the neutron with the same quantity measured in the nucleon resonance region. Method: We use a QCD parameterization of the world data on DIS spin structure functions, extrapolated into the nucleon resonance region and averaged over various intervals in the scaling variable x. We compare the results with the large data set collected in the quark-hadron transition region by the CLAS collaboration, averaged over the same intervals. We present this comparison as a function of the momentum transfer Q2. Results: We find that, depending on the averaging interval and the minimum momentum transfer chosen, a clear transition to quark-hadron duality can be observed in both nucleon species. Furthermore, we show, for the first time, the scaling behaviour of g1 measured in the resonance region at sufficiently high momentum transfer. Conclusions: Our results can be used to quantify the deviations from the applicability of pQCD for data taken at moderate energies, and help with extraction of quark distribution functions from such data. |
| Experiment Numbers: | |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevC.107.045201 |
| Accepted Manuscript: | 2205.01218.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |