Bulletin of the American Physical Society
6th Joint Meeting of the APS Division of Nuclear Physics and the Physical Society of Japan
Sunday–Friday, November 26–December 1 2023; Hawaii, the Big Island
Session C06: Minisymposium: 3D Nucleon Structure I
7:00 PM–9:00 PM,
Tuesday, November 28, 2023
Hilton Waikoloa Village
Room: Queens 5
Chair: Alexei Prokudin, Penn State Berks
Abstract: C06.00004 : TMDs and PDFs for spin-1 hadrons up to twist 4*
8:00 PM–8:15 PM
Presenter:
Shunzo Kumano
(Japan Women's University / KEK)
Authors:
Shunzo Kumano
(Japan Women's University / KEK)
Qin-Tao Song
(Zhengzhou University)
I explain TMDs and PDFs for spin-1 hadrons up to twist 4 [1,2,3]. Decomposing a quark correlation function with the conditions of the Hermiticity and parity invariance, we found 30 new structure functions at twists 3 and 4 [1]. There are also new fragmentation functions in the spin-1 hadrons. Integrating the TMDs over the transverse momentum, we found new collinear PDFs. A twist-2 relation and a sum rule exist for the tensor-polarized PDFs $f_{1LL}$ and $f_{LT}$ [2]. In these studies, we also showed that twist-3 multiparton distribution functions $F_{LT}$, $G_{LT}$, $H_{LL}^perp$, and $H_{TT}$ exist for tensor-polarized spin-1 hadrons. Relations among these collinear parton- and multiparton-distribution functions were derived by using the equation of motion for quarks [3]. Useful relations were obtained (1) for the twist-3 PDF $f_{LT}$, the trasverse-momentum moment PDF $f_{1LT}^{(1)}$, and the multiparton distribution functions $F_{G,LT}$ and $G_{G,LT}$; (2) for the twist-3 PDF $e_{LL}$, the twist-2 PDF $f_{1LL}$, and the multiparton distribution function $H_{G,LL}^perp$. There is also a Lorentz-invariance relation for $f_{1LT}^{(1)}$, $f_{1LL}$, $f_{LT}$, and $F_{G,LT}$. These studies will be useful in future investigations on the spin-1 structure functions.
*S, Kumano was partlally supported by Japan Soclety for the Promotion of Science sps Grants-in-ald for scientific Research (KAKENHI) Grant Number 19K03830.
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