Abstract
We present the first determination of charge symmetry violation (CSV) in the spin-dependent parton distribution functions of the nucleon. This is done by determining the first two Mellin moments of the spin-dependent parton distribution functions of the octet baryons from Nf=2+1 lattice simulations. This exploratory work is performed using a single value of the lattice spacing and volume. The results are compared with predictions from quark models of nucleon structure. We discuss the contribution of partonic spin CSV to the Bjorken sum rule, which is important because the CSV contributions represent the only partonic corrections to the Bjorken sum rule.
Highlights
Charge symmetry refers to the invariance of the strong interaction under a very particular operation in isospin space, namely the interchange of u and d quarks and protons and neutrons
Charge symmetry implies the equality of different parton distribution functions (PDFs), namely u p x, Q 2 = dn x, Q 2, dp x, Q 2 = un x, Q 2, (1)
In this Letter we report the first determination of the charge symmetry violation (CSV) in the spin-dependent parton distributions arising from quark mass differences
Summary
Charge symmetry refers to the invariance of the strong interaction under a very particular operation in isospin space, namely the interchange of u and d quarks and protons and neutrons. In this Letter we report the first determination of the charge symmetry violation (CSV) in the spin-dependent parton distributions arising from quark mass differences. We begin by extracting the zeroth and first moments of the spin-dependent PDFs of the light baryon octet by varying the light (degenerate u, d) and strange quark masses in a N f = 2 + 1 lattice simulation. We compare these results to quark model predictions for the sign and magnitude of these moments. We examine the size of the expected contribution of the spin parton distributions to the Bjorken sum rule
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