Isospin Symmetry of Fragmentation Functions

Abstract

We make a systematic study of the isospin symmetry of fragmentation functions by taking decay contributions into account. We assume the isospin symmetry in strong interactions and show that in the unpolarized case the isospin symmetry is held for fragmentation functions of $\Lambda$ and only tiny violations are allowed for other hadrons such as nucleon and pions due to the contributions from weak decays. We present a rough estimate of the magnitudes of such violations. In the polarized case, we show that the isospin symmetry violation for $\Lambda$ production should be tiny and the recent Belle data on the transverse polarization of $\Lambda$ can be reproduced if the isospin symmetry is kept in the corresponding polarized fragmentation functions.

arXiv comment6 pages, 3 figures

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• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
• Probing the longitudinal spin transfer via dihadron polarization correlations in unpolarized $e^{+}{e}^{-}$ and $pp$ collisions
• Transverse $\Lambda$ polarization in $e^{+}{e}^{-}$ processes within a TMD factorization approach and the polarizing fragmentation function
• Inclusive and semi-inclusive production of spin-3/2 hadrons in $e^{+}{e}^{-}$ annihilation
• Global analysis of fragmentation functions to light neutral hadrons
• Dihadron helicity correlation in photon-nucleus collisions
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• Twist-3 Gluon Fragmentation Contribution to Hyperon Polarization in Semi-Inclusive Deep Inelastic Scattering
• Accessing Polarized Fragmentation Functions at the Unpolarized EIC and BELLE Experiments
• Measurement of transverse polarization of $\Lambda$ and $\bar{\Lambda }$ hyperons inside jets in $pp$ collisions at $\sqrt{s}=200$ GeV