TY - JOUR
T1 - Bayesian extraction of the parton distribution amplitude from the Bethe–Salpeter wave function
AU - Gao, Fei
AU - Chang, Lei
AU - Liu, Yu xin
N1 - Publisher Copyright:
© 2017 The Authors
PY - 2017/7/10
Y1 - 2017/7/10
N2 - We propose a new numerical method to compute the 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 parton distribution amplitude (PDA) can be well determined. We confirm prior work on PDA computations, which was based on different methods.
AB - We propose a new numerical method to compute the 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 parton distribution amplitude (PDA) can be well determined. We confirm prior work on PDA computations, which was based on different methods.
KW - Bethe–Salpeter amplitude
KW - Light-front wave function
KW - Maximum entropy method
KW - Nakanishi representation
KW - Parton distribution function
UR - http://www.scopus.com/inward/record.url?scp=85033237724&partnerID=8YFLogxK
U2 - 10.1016/j.physletb.2017.04.077
DO - 10.1016/j.physletb.2017.04.077
M3 - Article
AN - SCOPUS:85033237724
SN - 0370-2693
VL - 770
SP - 551
EP - 555
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
ER -