Estimation of the double-helicity-flip deuteron structure function

Nzar, Mohammad; Hoodbhoy, Pervez

doi:10.1103/physrevd.45.2264

Cited by 11 publications

(9 citation statements)

References 10 publications

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“…( [25]) ). In the nucleon, the off-forward helicity-flip gluon distributions can be as large as other gluon distributions for a reasonable size of x.…”

Section: Helicity-flip Parton Distributions: Counting and Definitmentioning

confidence: 99%

Helicity-flip off-forward parton distributions of the nucleon

1998

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We identify quark and gluon helicity-flip distributions defined between nucleon states of unequal momenta. The evolution of these distributions with change of renormalization scale is calculated in the leading-logarithmic approximation. The helicity-flip gluon distributions do not mix with any quark distribution and are thus a unique signature of gluons in the nucleon. Their contribution to the generalized virtual Compton process is obtained both in the form of a factorization theorem and an operator product expansion. In deeply virtual Compton scattering, they can be probed through distinct angular dependence of the cross section.

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“…( [25]) ). In the nucleon, the off-forward helicity-flip gluon distributions can be as large as other gluon distributions for a reasonable size of x.…”

Section: Helicity-flip Parton Distributions: Counting and Definitmentioning

confidence: 99%

Helicity-flip off-forward parton distributions of the nucleon

1998

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“…This quantity is particularly interesting since, unlike the unpolarised and helicity gluon distributions, the doublehelicity-flip density is a clean measure of gluonic degrees of freedom as it only mixes with quark distributions at higher twist. The only existing information on ∆(x, Q 2 ) comes from a rudimentary bag model calculation of its first moment in the spin-3 2 ∆ baryon [8], and a related model of its x-dependence in the deuteron [9]. We also study the gluonic analogue of the Soffer bound for transversity for the first time, showing that the first moment of this bound in a φ meson (at the unphysical light quark masses used in this work and subject to caveats regarding renormalisation and the continuum limit) is saturated to approximately the same extent as the first moment of the quark Soffer bound for the nucleon as determined in a previous lattice simulation [10,11].…”

Section: Introductionmentioning

confidence: 99%

Gluonic transversity from lattice QCD

Detmold

Shanahan

2016

Phys. Rev. D

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We present an exploratory study of the gluonic structure of the φ meson using lattice QCD (LQCD). This includes the first investigation of gluonic transversity via the leading moment of the twist-two double-helicity-flip gluonic structure function ∆(x, Q 2 ). This structure function only exists for targets of spin J ≥ 1 and does not mix with quark distributions at leading twist, thereby providing a particularly clean probe of gluonic degrees of freedom. We also explore the gluonic analogue of the Soffer bound which relates the helicity flip and non-flip gluonic distributions, finding it to be saturated at the level of 80%. This work sets the stage for more complex LQCD studies of gluonic structure in the nucleon and in light nuclei where ∆(x, Q 2 ) is an 'exotic glue' observable probing gluons in a nucleus not associated with individual nucleons.

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“…In addition, since the Nuclotronbased Ion Collider fAcility (NICA) will have a polarized-deuteron beam, the tensorpolarized structure functions and the gluon transversity will be investigated, for example, by observing J/ψ production [21,22]. These structure functions are interesting for investigating especially exotic aspects of hadron physics, such as hidden color [23] and non-nucleonic component [24] in the deuteron.…”

Section: Jhep09(2021)141mentioning

confidence: 99%

Twist-2 relation and sum rule for tensor-polarized parton distribution functions of spin-1 hadrons

Kumano

Song

2021

J. High Energ. Phys.

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Sum rules for structure functions and their twist-2 relations have important roles in constraining their magnitudes and x dependencies and in studying higher-twist effects. The Wandzura-Wilczek (WW) relation and the Burkhardt-Cottingham (BC) sum rule are such examples for the polarized structure functions g1 and g2. Recently, new twist-3 and twist-4 parton distribution functions were proposed for spin-1 hadrons, so that it became possible to investigate spin-1 structure functions including higher-twist ones. We show in this work that an analogous twist-2 relation and a sum rule exist for the tensor-polarized parton distribution functions f1LL and fLT, where f1LL is a twist-2 function and fLT is a twist-3 one. Namely, the twist-2 part of fLT is expressed by an integral of f1LL (or b1) and the integral of the function f2LT = (2/3)fLT− f1LL over x vanishes. If the parton-model sum rule for f1LL (b1) is applied by assuming vanishing tensor-polarized antiquark distributions, another sum rule also exists for fLT itself. These relations should be valuable for studying tensor-polarized distribution functions of spin-1 hadrons and for separating twist-2 components from higher-twist terms, as the WW relation and BC sum rule have been used for investigating x dependence and higher-twist effects in g2. In deriving these relations, we indicate that four twist-3 multiparton distribution functions FLT, GLT, $$ {H}_{LL}^{\perp } $$ H LL ⊥ , and HTT exist for tensor-polarized spin-1 hadrons. These multiparton distribution functions are also interesting to probe multiparton correlations in spin-1 hadrons. In the near future, we expect that physics of spin-1 hadrons will become a popular topic, since there are experimental projects to investigate spin structure of the spin-1 deuteron at the Jefferson Laboratory, the Fermilab, the nuclotron-based ion collider facility, the electron-ion colliders in US and China in 2020’s and 2030’s.

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Estimation of the double-helicity-flip deuteron structure function

Cited by 11 publications

References 10 publications

Helicity-flip off-forward parton distributions of the nucleon

Helicity-flip off-forward parton distributions of the nucleon

Gluonic transversity from lattice QCD

Twist-2 relation and sum rule for tensor-polarized parton distribution functions of spin-1 hadrons

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