TITLE:
Pion Distribution Functions and Kaon Distribution Amplitude and Functions as a Bound System in 1 + 1 Dimensional QCD
AUTHORS:
Teruo Kurai
KEYWORDS:
Distribution Amplitude, Distribution Functions, ‘tHooft Model
JOURNAL NAME:
Journal of Modern Physics,
Vol.17 No.1,
January
16,
2026
ABSTRACT: We obtain pion distribution functions and kaon distribution amplitude and functions based on a bound system in 1 + 1 dimensional QCD. Our pion valence quark distribution functions are comparable to xFitter and JAM, so that behavior of our u-quark distribution functions in the range of medium x to close to x = 1 is close to original E615 results. As an asymptotic limit, an exponent of
(
1−x
)
of our pion distribution functions is 1. In the case of kaon, the ratio of s-quark distribution functions to u-quark distribution functions behaves within 1σ uncertainty region of the latest JAM results. At the same time, the ratio of kaon u-quark distribution functions to that of pion is comparable to N3 results except the range of
x≥0.9
.