Measurements of Transverse Spin Dependent π
+π
β Azimuthal Correlation Asymmetry and Unpolarized2 π
+π
β Cross-Section in π π Collisions at STAR
B.Β Pokhrel* Β on behalf of the STAR collaboration
Published on:
July 30, 2024
Abstract
The transversity distribution function, $h_1^{q}(x)$, encapsulates the transverse spin structure of the proton at the leading twist, where $x$ represents the longitudinal momentum fraction carried by the quark $q$. The extraction of $h_1^{q}(x)$ poses a formidable challenge due to its chiral-odd nature. Measurements of final-state di-hadron pairs in transversely polarized proton-proton ($p^\uparrow p$) collisions directly probe the collinear quark transversity via coupling with a chiral-odd interference fragmentation function, IFF. This coupling results in an experimentally measurable azimuthal correlation asymmetry, $A_{UT}$. The asymmetry originates from the interplay between the spin orientation of the fragmenting quark and the resulting di-hadron in the final state. Thus, precise knowledge of unpolarized di-hadron fragmentation functions (FFs) is necessary to achieve a model-independent extraction of the transversity from these measurements. These FFs can be constrained by measuring the unpolarized di-hadron cross-section in $pp$ collisions. We report the preliminary results on the $A_{UT}$ for $\pi^+\pi^-$ pairs using $p^\uparrow p$ data collected by the STAR experiment at a center-of-mass energy ($\sqrt{s}$) of 200 GeV in 2015. Additionally, we report preliminary results of the unpolarized $\pi^+\pi^-$ cross section using $pp$ data at $\sqrt{s} = 200$ GeV collected in 2012. These datasets probe the valance quark region ($0.1 < x < 0.3$) at $Q^2$ of the order of $\sim 100$ $\rm GeV^2$.
DOI: https://doi.org/10.22323/1.456.0052
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