Novel twist-three transverse-spin sum rule for the proton and related generalized parton distributions

Guo, Yuxun; Ji, Xiangdong; Shiells, Kyle

doi:10.1016/j.nuclphysb.2021.115440

Title: Novel twist-three transverse-spin sum rule for the proton and related generalized parton distributions

Journal Article · Sun Aug 01 00:00:00 EDT 2021 · Nuclear Physics. B

DOI:https://doi.org/10.1016/j.nuclphysb.2021.115440· OSTI ID:1785040

Guo, Yuxun; Ji, Xiangdong; Shiells, Kyle

We derive a new twist-3 partonic sum rule for the transverse spin of the proton, which involves the well-know quark spin structure function $$g_T (x) = g_1(x) + g_2(x)$$, the less-studied but known transverse gluon polarization density $$ΔG_T (x)$$, and quark and gluon canonical orbital angular momentum densities associated with transverse polarization. This is the counter part of the sum rule for the longitudinal spin of the proton derived by Jaffe and Manohar previously. We relate the partonic canonical orbital angular momentum densities to a new class of twist-3 generalized parton distribution functions which are potentially measurable in deep-virtual exclusive processes. We also discuss in detail an important technicality related to the transverse polarization in the infinite momentum frame, i.e., separation of intrinsic contributions from the extrinsic ones. We apply our finding to the transverse-space distributions of partons, angular momentum, and magnetic moment, respectively, in a transversely polarized proton.

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Research Organization:: Univ. of Maryland, College Park, MD (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); Southeastern Universities Research Association

Grant/Contract Number:: SC0020682

OSTI ID:: 1785040

Alternate ID(s):: OSTI ID: 1853671

Journal Information:: Nuclear Physics. B, Journal Name: Nuclear Physics. B Vol. 969 Journal Issue: C; ISSN 0550-3213

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

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