Isospin symmetry of fragmentation functions

Longitudinal and transverse polarizations of $Λ$ hyperon in unpolarized SIDIS and $e^+e^-$ annihilation

“…Though both of them can also describe the Belle data [26], these two parameterizations include a significant isospin violation in D ⊥Λ 1T , in contrast to the CLPSW parametrization presented in Ref. [29]. Although it is very unlike that such significant isospin violation can exist in FFs [29], it can be tested in future EIC experiments.…”

“…[29]. Although it is very unlike that such significant isospin violation can exist in FFs [29], it can be tested in future EIC experiments. The EIC experiments can change the target nucleon and/or nucleus so that contributions from u and d may change drastically.…”

“…[47][48][49]. We use the Chen-Liang-Pan-Song-Wei (CLPSW) parametrization [29] extracted from the Belle data to make predictions for SIDIS. The results are shown in Fig.…”

“…Therefore, they have attracted much attentions from both theory and experiment communities. Recently, Belle collaboration has measured the transverse polarization of Λ hyperons produced in e + e − annihilation [26] and has inspired immediate parameterizations [27][28][29] and model calculations [30] of the D ⊥Λ 1T q (z Λ , p T ). Efforts have also been made towards predicting the transverse polarization of Λ hyperon in SIDIS [31][32][33][34].…”

“…Efforts have also been made towards predicting the transverse polarization of Λ hyperon in SIDIS [31][32][33][34]. We note in particular that the parameterization in [29] emphasizes on the isospin symmetry while those in [27,28] include quite significant isospin symmetry violations. Because isospin symmetry is a fundamental property of strong interaction, it should be very important to make further tests using similar measurements in other processes.…”