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arXiv 2102.00658hep-ph
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碎裂函数的同位旋对称性

Isospin Symmetry of Fragmentation Functions

Kai-bao Chen, Zuo-tang Liang, Yan-lei Pan, Yu-kun Song, Shu-yi Wei

摘要:

我们通过考虑衰变贡献,对碎裂函数的同位旋对称性进行了系统的研究。我们假设强相互作用中的同位旋对称性,并指出在非极化情况下,对于$Λ$的碎裂函数,同位旋对称性是成立的,而对于其他强子,如核子和π介子,由于弱衰变的贡献,只允许有微小的破坏.我们提出了一个粗略的估计,这种侵犯的程度。在极化的情况下,我们证明了$Λ$产生的同位旋对称性破坏应该是很小的,并且如果相应的极化碎裂函数中保持同位旋对称性,那么最近关于$Λ$横向极化的Belle数据可以重现。

英文摘要:

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 $Λ$ 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 $Λ$ production should be tiny and the recent Belle data on the transverse polarization of $Λ$ can be reproduced if the isospin symmetry is kept in the corresponding polarized fragmentation functions.

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