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Longitudinal and transverse spin transfer to Λ and Λ¯ hyperons in polarized p+p collisions at s=200GeV

M. I. Abdulhamid et al. (STAR Collaboration)
Phys. Rev. D 109, 012004 – Published 5 January 2024

Abstract

The longitudinal and transverse spin transfers to Λ (Λ¯) hyperons in polarized proton-proton collisions are expected to be sensitive to the helicity and transversity distributions, respectively, of (anti)strange quarks in the proton, and to the corresponding polarized fragmentation functions. We report improved measurements of the longitudinal spin transfer coefficient, DLL, and the transverse spin transfer coefficient, DTT, to Λ and Λ¯ in polarized proton-proton collisions at s=200GeV by the STAR experiment at RHIC. The dataset includes longitudinally polarized proton-proton collisions with an integrated luminosity of 52pb1, and transversely polarized proton-proton collisions with a similar integrated luminosity. Both datasets have about twice the statistics of previous results and cover a kinematic range of |ηΛ(Λ¯)|<1.2 and transverse momentum pT,Λ(Λ¯) up to 8GeV/c. We also report the first measurements of the hyperon spin transfer coefficients DLL and DTT as a function of the fractional jet momentum z carried by the hyperon, which can provide more direct constraints on the polarized fragmentation functions.

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  • Received 27 September 2023
  • Accepted 28 November 2023

DOI:https://doi.org/10.1103/PhysRevD.109.012004

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

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Vol. 109, Iss. 1 — 1 January 2024

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Images

  • Figure 1
    Figure 1

    Illustration of spin vectors for initial (S) and final (S) state quarks during partonic scattering in transversely polarized proton-proton collisions. The corresponding azimuth angles of the spin vectors, ϕS and ϕS, are equal [14].

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  • Figure 2
    Figure 2

    Invariant mass spectra of Λ (closed circles) and Λ¯ (open circles) candidates with 1<pT,Λ(Λ¯)<8GeV/c from (a) longitudinally and (b) transversely polarized proton-proton collisions at s=200GeV.

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  • Figure 3
    Figure 3

    The correlation of jet-momentum fraction z carried by Λ (upper panels) and Λ¯ (lower panels) at particle level and detector level, for jet triggers JP1 (left) and JP2 (right). The red points give the mean values of “detector z” and “particle z” in each bin while the error bars represent the standard derivations. The dashed lines at y=x are for guidance.

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  • Figure 4
    Figure 4

    (a) Longitudinal spin transfer coefficient DLLraw of Λ and Λ¯ as a function of cosθ* for hyperons with 3<pT,Λ(Λ¯)<4GeV/c. (b) Transverse spin transfer coefficient DTTraw of Λ and Λ¯ as a function of cosθ* for hyperons with momentum fraction 0.5<z<0.7.

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  • Figure 5
    Figure 5

    Longitudinal spin transfer coefficient DLL of Λ and Λ¯ as a function of hyperon pT in proton-proton collisions at s=200GeV. The top and bottom panels show the results for positive and negative hyperon η regions, respectively. The vertical bars and boxes indicate the statistical and systematic uncertainties, respectively. The Λ¯ results have been slightly offset horizontally for clarity.

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  • Figure 6
    Figure 6

    (a) Comparison of longitudinal-spin transfer coefficient DLL as a function of the hyperon pT,Λ(Λ¯) for positive η with previously published results [40]. (b) Upper subpanel: combined results of DLL for positive η from current and previous measurements, in comparison with theoretical prediction [23]; Lower subpanel: the Λ+Λ¯ combined results, in comparison with theoretical predictions [24, 62]. (c) Combined results of DLL for negative η from current and previous measurements. The previously published results in panel (a) and the results of Λ¯ in all panels are slightly shifted for clarity.

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  • Figure 7
    Figure 7

    Longitudinal-spin transfer coefficient DLL as a function of the momentum fraction z of the hyperon within a jet in proton-proton collisions at s=200GeV compared with theoretical calculations [33]. Panels (a) and (b) show the results for positive and negative ηjet, respectively. The average jet pT at the particle level in each z bin is shown in panel (c). Here the differences of z value for Λ and Λ¯ along the horizontal axis reflect their average z in that bin after the correction to particle level, not an artificial offset.

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  • Figure 8
    Figure 8

    Transverse-spin transfer coefficient DTT as a function of hyperon pT in proton-proton collisions at s=200GeV at STAR. The top and bottom panels show the results for positive and negative ηΛ(Λ¯), respectively. The Λ¯ results have been slightly offset horizontally for clarity.

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  • Figure 9
    Figure 9

    (a) Comparison of transverse spin transfer coefficient DTT as a function of hyperon pT,Λ(Λ¯) for positive η with previously published results [39]. (b) Combined results of DTT for positive η from current and previous measurements, in comparison with theoretical predictions [21]. (c) Combined results of DTT for negative η from current and previous measurements. The previously published results and the results of Λ¯ are slightly shifted horizontally for clarity.

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  • Figure 10
    Figure 10

    Transverse spin transfer coefficient DTT as a function of the momentum fraction z of the hyperon in a jet in proton-proton collisions at s=200GeV. The panels (a) and (b) show the results for positive and negative ηjet, respectively. The average jet pT at particle level in each z bin is shown in panel (c). Here the differences of z value for Λ and Λ¯ along the horizontal axis reflect their average z in that bin after the correction to particle level, not an artificial offset.

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