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Title: Computing the gluon Sivers function at small-x

Abstract

We compute the gluon Sivers function f 1 T g ( x , k ) of the transversely polarized nucleon at small-x by exploiting the known connection between the dipole gluon Sivers function and the Odderon. We numerically solve the evolution equation for the Odderon both in the linear and nonlinear regimes. While we find that the x and k dependences of the Sivers function do not factorize as a result of the quantum evolution, factorization breaking is not numerically significant, and is much milder than what one expects in the case of unpolarized TMDs. We also point out the possibility that, due to the presence of a node in the Sivers function, single spin asymmetry for open charm production in semi-inclusive deep inelastic scattering flips signs as the transverse momentum of D-mesons is varied. This can be tested at the future Electron–Ion Collider.

Authors:
ORCiD logo [1];  [2];  [3]
  1. Duke Univ., Durham, NC (United States). Dept. of Physics
  2. Kyoto Univ. (Japan). Dept. of Physics
  3. Brookhaven National Lab. (BNL), Upton, NY (United States). Physics Dept.
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States); Duke Univ., Durham, NC (United States); Kyoto Univ. (Japan)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); BNL Laboratory Directed Research and Development (LDRD) Program; Japan Society for the Promotion of Science (JSPS)
OSTI Identifier:
1547849
Alternate Identifier(s):
OSTI ID: 1503519
Report Number(s):
BNL-211463-2019-JAAM
Journal ID: ISSN 0370-2693
Grant/Contract Number:  
SC0012704; FG02-05ER41367; 17J08072
Resource Type:
Journal Article: Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 790; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Yao, Xiaojun, Hagiwara, Yoshikazu, and Hatta, Yoshitaka. Computing the gluon Sivers function at small-x. United States: N. p., 2019. Web. doi:10.1016/j.physletb.2019.01.029.
Yao, Xiaojun, Hagiwara, Yoshikazu, & Hatta, Yoshitaka. Computing the gluon Sivers function at small-x. United States. doi:10.1016/j.physletb.2019.01.029.
Yao, Xiaojun, Hagiwara, Yoshikazu, and Hatta, Yoshitaka. Mon . "Computing the gluon Sivers function at small-x". United States. doi:10.1016/j.physletb.2019.01.029.
@article{osti_1547849,
title = {Computing the gluon Sivers function at small-x},
author = {Yao, Xiaojun and Hagiwara, Yoshikazu and Hatta, Yoshitaka},
abstractNote = {We compute the gluon Sivers function f1T⊥g(x,k⊥) of the transversely polarized nucleon at small-x by exploiting the known connection between the dipole gluon Sivers function and the Odderon. We numerically solve the evolution equation for the Odderon both in the linear and nonlinear regimes. While we find that the x and k⊥ dependences of the Sivers function do not factorize as a result of the quantum evolution, factorization breaking is not numerically significant, and is much milder than what one expects in the case of unpolarized TMDs. We also point out the possibility that, due to the presence of a node in the Sivers function, single spin asymmetry for open charm production in semi-inclusive deep inelastic scattering flips signs as the transverse momentum of D-mesons is varied. This can be tested at the future Electron–Ion Collider.},
doi = {10.1016/j.physletb.2019.01.029},
journal = {Physics Letters. Section B},
issn = {0370-2693},
number = ,
volume = 790,
place = {United States},
year = {2019},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.physletb.2019.01.029

Citation Metrics:
Cited by: 1 work
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Figures / Tables:

Figure 1 Figure 1: N and O as functions of |r⊥| along the axis of θ = π/2.

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Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.