A Novel Algorithm for Extracting the Parton Distribution Amplitude from the Euclidean Bethe-Salpeter Wave Function
Nuclear Theory
2017-06-07 v1 High Energy Physics - Phenomenology
Abstract
We propose a new numerical method to compute parton distribution amplitude(PDA) from the Euclidean Bethe-Salpeter wave function. The essential step is to extract the weight function in the Nakanishi representation of the Bethe-Salpeter wave function in Euclidean space, which is an ill-posed inversion problem, via the maximum entropy method(MEM). The Nakanishi weight function as well as the corresponding light-front PDA can be well determined. We confirm the previous works on PDA computation therein the different method has been performed.
Cite
@article{arxiv.1611.03560,
title = {A Novel Algorithm for Extracting the Parton Distribution Amplitude from the Euclidean Bethe-Salpeter Wave Function},
author = {Fei Gao and Lei Chang and Yu-xin Liu},
journal= {arXiv preprint arXiv:1611.03560},
year = {2017}
}