Sivers and Boer-Mulders TMDs of proton in a light-front quark-diquark model

Gurjar, Bheemsehan; Chakrabarti, Dipankar; Mondal, Chandan Kumar

doi:10.48550/arxiv.2207.11527

Cited by 5 publications

(5 citation statements)

References 75 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Moreover, Ref. [99] highlights the concordance between the SIDIS spin asymmetries predicted by the LFQDM and the experimental results from HERMES and COMPASS. Quark's orbital angular momentum and the GPD-TMD relations have been calculated, and the results have been contrasted with those of other models that share the same properties [100].…”

Section: Introductionsupporting

confidence: 59%

Twist-4 T-even proton TMDs in the light-front quark–diquark model

Sharma

Dahiya

2022

Int. J. Mod. Phys. A

View full text Add to dashboard Cite

We have dealt with the twist-4 T-even transverse momentum dependent parton distributions (TMDs) for the case of proton in the light-front quark–diquark model (LFQDM). By decoding the unintegrated quark–quark correlator for the semi-inclusive deep inelastic scattering (SIDIS), we have specifically obtained the overlap form for the unpolarized [Formula: see text], longitudinally polarized [Formula: see text] and transversely polarized ([Formula: see text] and [Formula: see text]) proton TMDs. We have provided the explicit expressions for both the cases of the diquark being a scalar or a vector. Average transverse momenta and the average square transverse momenta for the TMDs have been calculated and the results have been tabulated with corresponding leading twist TMDs. In addition, the value of average transverse momentum and average square transverse momentum for TMD [Formula: see text] has been compared with the available light-front constituent quark model (LFCQM) results. From TMDs, we have also obtained and discussed the transverse momentum-dependent parton distribution functions (TMDPDFs). The model relations of the twist-4 T-even TMDs with the available leading twist T-even TMDs have also been obtained.

show abstract

Section: Introductionsupporting

confidence: 59%

Twist-4 T-even proton TMDs in the light-front quark–diquark model

Sharma

Dahiya

2022

Int. J. Mod. Phys. A

View full text Add to dashboard Cite

show abstract

“…The parallels of SIDIS spin asymmetries in the LFQDM with HERMES and COM-PASS findings have been shown in Ref. [92]. In the LFQDM, twist-2 T-even TMDs have been studied where the inequalities customary of diquark models have been shown to be fulfilled [91].…”

Section: Introductionmentioning

confidence: 87%

Twist-4 proton GTMDs in the light-front quark–diquark model

Sharma,

Dahiya

2023

Eur. Phys. J. A

View full text Add to dashboard Cite

By integrating across the light-cone energy, totally unintegrated, off-diagonal quark-quark generalized parton correlation functions (GPCFs) can yield generalized transverse-momentum dependent parton distributions (GTMDs). We have obtained the twist-4 GTMDs for the case of proton in the light-front quarkdiquark model (LFQDM). We have decoded the quark-quark GTMD correlator for proton and solved the parametrization equations for Dirac matrix structure at twist-4. We have derived the explicit equations of GTMDs for the diquark being scalar or vector leading to the results for the struck quark being a u or d quark.Being a multidimensional function, the dependence is studied with two variables at a time, keeping the others fixed. Transverse-momentum dependent form factors (TMFFs) have been obtained from GTMDs via integration over the longitudinal momentum fraction x of the quark. We have debated over the possibility to specify the initial and final state polarizations of the smacked quark and the nucleon in twist-4 GTMDs as well as the Wigner distributions. Additionally, from twist-4 GTMDs, we have deduced the twist-4 T-even TMDs and found its synchronization with the already published results.

show abstract

“…Leading twist T-odd quark TMDs of the proton have also been obtained, specifically the Sivers function f ⊥q 1T (x, p 2 ⊥ ) and the Boer-Mulders function h ⊥q 1 (x, p 2 ⊥ ) [160]. The generalized Sivers and Boer-Mulders shifts have also been compared to the known lattice QCD simulations and it has been proved that the SIDIS spin asymmetries associated with these T-odd TMDs are consistent with HERMES and COMPASS findings [160]. Leading twist T-even TMDs have been discussed in this model including both scalar and vector diquark [116].…”

Section: Introductionmentioning

confidence: 99%

Twist-4 T-even proton TMDs in the light-front quark-diquark model

Sharma,

Dahiya

2023

Preprint

View full text Add to dashboard Cite

We have dealt with the twist-4 T-even transverse momentum dependent parton distributions (TMDs) for the case of proton in the light-front quark-diquark model (LFQDM). By decoding the unintegrated quarkquark correlator for the semi-inclusive deep inelastic scattering (SIDIS), we have specifically obtained the overlap form for the unpolarized f ν 3 (x, p 2 ⊥ ) , longitudinally polarized g ν 3L (x, p 2 ⊥ ), h ⊥ν 3L (x, p 2 ⊥ ) and transversely polarized g ν 3T (x, p 2 ⊥ ), h ν 3T (x, p 2 ⊥ ) and h ν⊥ 3T (x, p 2 ⊥ ) proton TMDs. We have provided the explicit expressions for both the cases of the diquark being a scalar or a vector. Average transverse momenta and the average square transverse momenta for the TMDs have been calculated and the results have been tabulated with corresponding leading twist TMDs. In addition, the value of average transverse momentum and average square transverse momentum for TMD f ν 3 (x, p 2 ⊥ ) has been compared with the available light-front constituent quark model (LFCQM) results. From TMDs, we have also obtained and discussed the transverse momentum dependent parton distribution functions (TMDPDFs). The model relations of the twist-4 T-evenTMDs with the available leading twist T-even TMDs have also been obtained.

show abstract

Sivers and Boer-Mulders TMDs of proton in a light-front quark-diquark model

Cited by 5 publications

References 75 publications

Twist-4 T-even proton TMDs in the light-front quark–diquark model

Twist-4 T-even proton TMDs in the light-front quark–diquark model

Twist-4 proton GTMDs in the light-front quark–diquark model

Twist-4 T-even proton TMDs in the light-front quark-diquark model

Contact Info

Product

Resources

About