Predicting the $\sin\phi_S$ Single-Spin-Asymmetry of $\Lambda$ Production off transversely polarized nucleon in SIDIS

Nanjing); Qingdao); Xiaoyu Wang (Zhengzhou U.; Yongliang Yang (Qingdao U.; Zhengzhou); Zhun Lu (Southeast U.

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Predicting the $\sin\phi_S$ Single-Spin-Asymmetry of $\Lambda$ Production off transversely polarized nucleon in SIDIS

Yongliang Yang (Qingdao U., Qingdao), Xiaoyu Wang (Zhengzhou U., Zhengzhou), Zhun Lu (Southeast U., Nanjing)

High Energy Physics - Phenomenology · Submitted 21 Mar 2021

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The results show that the asymmetries for the $\Lambda$ production SIDIS process is around 0.1 and may be accessible at EIC, EicC and COMPASS.

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arXiv ID2103.11348 (version 1)

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CitationNanjing), Qingdao), Xiaoyu Wang (Zhengzhou U., Yongliang Yang (Qingdao U., Zhengzhou), Zhun Lu (Southeast U.. "Predicting the $\sin\phi_S$ Single-Spin-Asymmetry of $\Lambda$ Production off transversely polarized nucleon in SIDIS." arXiv:2103.11348 (2021). https://pith.science/paper/P6J7BNFN

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We investigate the transverse target spin asymmetry $A^{\sin\phi_{S}}_{UT}$ for the unpolarized $\Lambda$ production in semi-inclusive deep inelastic scattering with the transverse momentum of the final-state lambda hyperon being integrated out. The asymmetry is contributed by the product of the transversity distribution function $h_1(x)$ of the nucleon and the collinear twist-3 fragmentation function $\tilde{H}(z)$ of the $\Lambda$ hyperon. The later one originates from the quark-gluon-quark correlation and is a naive time-reversal-odd function. We calculate $\tilde{H}$ of the $\Lambda$ hyperon by adopt a diquark spectator model. Using the numerical result of $\tilde{H}(z)$ and the available parametrization of $h_1(x)$ from SIDIS data, we predict the $\sin\phi_{S}$ asymmetry in the electroproduction of the $\Lambda$ hyperon in the kinematical region of EIC, EicC and COMPASS. In the phenomenological analysis we include the evolution effect of the distribution functions and the fragmentation functions. The results show that the asymmetries for the $\Lambda$ production SIDIS process is around 0.1 and may be accessible at EIC, EicC and COMPASS. We also find that the evolution of fragmentation function can affect the size of asymmetry.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We investigate the transverse target spin asymmetry $A^{\sin\phi_{S}}_{UT}$ for the unpolarized $\Lambda$ production in semi-inclusive deep inelastic scattering with the transverse momentum of the final-state lambda hyperon being integrated out.	contribution 0.99	0.87	0.04	asserted 0.85
s1	The asymmetry is contributed by the product of the transversity distribution function $h_1(x)$ of the nucleon and the collinear twist-3 fragmentation function $\tilde{H}(z)$ of the $\Lambda$ hyperon.	background 0.64	0.26	0.06	asserted 1.00
s2	The later one originates from the quark-gluon-quark correlation and is a naive time-reversal-odd function.	background 0.96	0.10	0.03	asserted 1.00
s3	We calculate $\tilde{H}$ of the $\Lambda$ hyperon by adopt a diquark spectator model.	method 0.97	0.94	0.03	asserted 1.00
s4	Using the numerical result of $\tilde{H}(z)$ and the available parametrization of $h_1(x)$ from SIDIS data, we predict the $\sin\phi_{S}$ asymmetry in the electroproduction of the $\Lambda$ hyperon in the kinematical region of EIC, EicC and COMPASS.	method 0.55	0.93	0.16	asserted 1.00
s5	In the phenomenological analysis we include the evolution effect of the distribution functions and the fragmentation functions.	method 0.99	0.88	0.03	asserted 0.96
s6	The results show that the asymmetries for the $\Lambda$ production SIDIS process is around 0.1 and may be accessible at EIC, EicC and COMPASS.	result 0.97	0.93	0.84	asserted 0.55
s7	We also find that the evolution of fragmentation function can affect the size of asymmetry.	result 0.97	0.95	0.08	asserted 1.00

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Original abstract

We investigate the transverse target spin asymmetry $A^{\sin\phi_{S}}_{UT}$ for the unpolarized $\Lambda$ production in semi-inclusive deep inelastic scattering with the transverse momentum of the final-state lambda hyperon being integrated out. The asymmetry is contributed by the product of the transversity distribution function $h_1(x)$ of the nucleon and the collinear twist-3 fragmentation function $\tilde{H}(z)$ of the $\Lambda$ hyperon. The later one originates from the quark-gluon-quark correlation and is a naive time-reversal-odd function. We calculate $\tilde{H}$ of the $\Lambda$ hyperon by adopt a diquark spectator model. Using the numerical result of $\tilde{H}(z)$ and the available parametrization of $h_1(x)$ from SIDIS data, we predict the $\sin\phi_{S}$ asymmetry in the electroproduction of the $\Lambda$ hyperon in the kinematical region of EIC, EicC and COMPASS. In the phenomenological analysis we include the evolution effect of the distribution functions and the fragmentation functions. The results show that the asymmetries for the $\Lambda$ production SIDIS process is around 0.1 and may be accessible at EIC, EicC and COMPASS. We also find that the evolution of fragmentation function can affect the size of asymmetry.

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1 arXiv paper cite this in 1 sentence

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

What it cites · 32 sentences without a confident label

Uses the method or tool of 7 papers

We have calculated the twist-3 T-odd quark-gluon-quark fragmentation function $H̃$ of the $Λ$ hyperon with two different types of diquark spectator model by considering both scalar and axial-vector diquarks [ref] .

Transverse-momentum distributions in a diquark spectator model · Conclusion · 0.87
In the diquark spectator model [ref] , the fragmentation function $H̃$ can be calculated from Fig. [ref], where the contribution to the T-odd fragmentation function also originates from the imaginary part of the one-loop diagram [ref] .

Twist-3 fragmentation functions in a spectator model with gluon rescattering · Model calculation of fragmentation function in qgq correlator · 0.90
In the diquark spectator model [ref] , the fragmentation function $H̃$ can be calculated from Fig. [ref], where the contribution to the T-odd fragmentation function also originates from the imaginary part of the one-loop diagram [ref] .

Twist-3 T-odd fragmentation functions $G^\perp$ and $\tilde{G}^\perp$ in a spectator model · Model calculation of fragmentation function in qgq correlator · 0.90

Uses data or values from 5 papers

In order to estimate the $sinϕ_S$ asymmetry, we need the information of the transversity distribution $h_1^q(x)$, for which we adopt the parametrization from Ref. [ref] : [equation] with [equation] where values of the parameters $N_u^T=0.36, N_d^T=-1.00, α=1.06$, and $β=3.66$ are taken from Ref. [ref] .

Simultaneous extraction of transversity and Collins functions from new SIDIS and e+e- data · Prediction on the $sinϕ_S$ transverse SSAs of $Λ$ hyperon production in SIDIS · 0.97
Neglecting the mass differences between the up, down and strange quarks ($m=0.36$ GeV), we obtain the light flavors fragmentation function $H̃$ as follows [equation] In order to obtain the numerical result for $H̃$, we should choose the values for the parameters as Ref. [ref] [equation] the parameters were obtained by fitting the model result of $D_1^Λ(z)$ in the same model to the deFlorian-Stratmann-Vogelsang (DSV) parametrization [ref] at the model scale $Q^2=0.23 GeV^2$.

Transverse polarization of the $\Lambda$ hyperon from unpolarized quark fragmentation in the diquark model · Model calculation of fragmentation function in qgq correlator · 0.84
Neglecting the mass differences between the up, down and strange quarks ($m=0.36$ GeV), we obtain the light flavors fragmentation function $H̃$ as follows [equation] In order to obtain the numerical result for $H̃$, we should choose the values for the parameters as Ref. [ref] [equation] the parameters were obtained by fitting the model result of $D_1^Λ(z)$ in the same model to the deFlorian-Stratmann-Vogelsang (DSV) parametrization [ref] at the model scale $Q^2=0.23 GeV^2$.

QCD Analysis of Unpolarized and Polarized Lambda - Baryon Production in Leading and Next-to-Leading Order · Model calculation of fragmentation function in qgq correlator · 0.84

Compares with 1 paper

Compared our results with the the same $sinϕ_S$ asymmetry in pion production [ref] , we find that the signs of asymmetry are both are negative; However, the magnitude of the asymmetry in $Λ$ production is several times larger than the one in pion production.

Predicting the $\sin\phi_S$ Transverse Single-spin Asymmetry of Pion Production at an Electron Ion Collider · Prediction on the $sinϕ_S$ transverse SSAs of $Λ$ hyperon production in SIDIS · 1.00

Cites as background 32 papers

There are studies on the evolution of several twist-3 fragmentation functions in the literature [ref] .

Twist-three Fragmentation Function Contribution to the Single Spin Asymmetry in pp Collisions · Model calculation of fragmentation function in qgq correlator · 0.90
There are studies on the evolution of several twist-3 fragmentation functions in the literature [ref] .

Evolution of Chirality-odd Twist-3 Fragmentation Functions · Model calculation of fragmentation function in qgq correlator · 0.90
There are studies on the evolution of several twist-3 fragmentation functions in the literature [ref] .

Nucleon tensor charge from Collins azimuthal asymmetry measurements · Model calculation of fragmentation function in qgq correlator · 0.90

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