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(d¯)-(u¯) asymmetry in the proton in chiral effective theory
Yusupujiang Salamu1, Chueng-Ryong Ji2, W Melnitchouk3
1Institute of High Energy Physics, CAS, Beijing 100049, China.
Abstract:
We compute the d[over ¯]-u[over ¯] asymmetry in the proton in chiral effective theory, including both nucleon and Δ degrees of freedom, within the relativistic and heavy baryon frameworks. In addition to the distribution at x>0, we compute the corrections to the asymmetry from zero momentum contributions from pion rainbow and bubble diagrams at x=0, which have not been accounted for in previous analyses. We find that the empirical x dependence of d[over ¯]-u[over ¯] as well as the integrated asymmetry can be well reproduced in terms of a transverse momentum cutoff parameter.
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