Asia-Pacific Symposium for Lattice Field Theory (APLAT 2020)

Parton distribution functions of Δ+ on the lattice

7 Aug 2020, 17:40

20m

online

Hadron Structure Hadron Structure

Speaker

Yuan Li (*) (Peking University)

Description

We perform a first calculation for the unpolarized parton distribution function of the ${\mathrm{\Delta }}^{+}$ baryon using lattice QCD simulations within the framework of Large Momentum Effective Theory. Two ensembles of $N_f=2+1+1$ twisted mass fermions are utilized with a pion mass of 270 MeV and 360 MeV, respectively. The baryon, which is treated as a stable single-particle state, is boosted with momentum $P_3$ with values $\{0.42,0.83,1.25\}$ GeV, and we utilize momentum smearing to improve the signal. The unpolarized parton distribution function of ${\mathrm{\Delta }}^{+}$ is obtained using a non-perturbative renormalization and a one-loop formula for the matching, with encouraging precision. In particular, we compute the $\bar{d}(x)-\bar{u}(x)$ asymmetry and compare it with the same quantity in the nucleon, in a first attempt towards resolving the physical mechanism responsible for generating such asymmetry.

Presentation materials

Delta_pdf_yuan_li.pdf