Novel twist-three transverse-spin sum rule for the proton and related generalized parton distributions
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 gT(x)=g1(x)+g2(x), the less-studied but known transverse gluon polarization density ΔGT(x), and quark and gluon canonical orbital angular momentum densities ass...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2021-08-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321321001371 |
| _version_ | 1818640703816728576 |
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| author | Yuxun Guo Xiangdong Ji Kyle Shiells |
| author_facet | Yuxun Guo Xiangdong Ji Kyle Shiells |
| author_sort | Yuxun Guo |
| collection | DOAJ |
| description | 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 gT(x)=g1(x)+g2(x), the less-studied but known transverse gluon polarization density ΔGT(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. |
| first_indexed | 2024-12-16T23:15:29Z |
| format | Article |
| id | doaj.art-3239b3bfca8347f38ca32074a5790c54 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-12-16T23:15:29Z |
| publishDate | 2021-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-3239b3bfca8347f38ca32074a5790c542022-12-21T22:12:18ZengElsevierNuclear Physics B0550-32132021-08-01969115440Novel twist-three transverse-spin sum rule for the proton and related generalized parton distributionsYuxun Guo0Xiangdong Ji1Kyle Shiells2University of Maryland, College Park, MD 20742, USAUniversity of Maryland, College Park, MD 20742, USA; Center for Nuclear Femtography, 1201 New York Ave., NW, Washington DC, 20005, USACenter for Nuclear Femtography, 1201 New York Ave., NW, Washington DC, 20005, USA; Corresponding author.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 gT(x)=g1(x)+g2(x), the less-studied but known transverse gluon polarization density ΔGT(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.http://www.sciencedirect.com/science/article/pii/S0550321321001371 |
| spellingShingle | Yuxun Guo Xiangdong Ji Kyle Shiells Novel twist-three transverse-spin sum rule for the proton and related generalized parton distributions Nuclear Physics B |
| title | Novel twist-three transverse-spin sum rule for the proton and related generalized parton distributions |
| title_full | Novel twist-three transverse-spin sum rule for the proton and related generalized parton distributions |
| title_fullStr | Novel twist-three transverse-spin sum rule for the proton and related generalized parton distributions |
| title_full_unstemmed | Novel twist-three transverse-spin sum rule for the proton and related generalized parton distributions |
| title_short | Novel twist-three transverse-spin sum rule for the proton and related generalized parton distributions |
| title_sort | novel twist three transverse spin sum rule for the proton and related generalized parton distributions |
| url | http://www.sciencedirect.com/science/article/pii/S0550321321001371 |
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