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Pion Distribution Functions and Kaon Distribution Amplitude and Functions as a Bound System in 1 + 1 Dimensional QCD

DOI: 10.4236/jmp.2026.171004, PP. 49-81

Keywords: Distribution Amplitude, Distribution Functions, ‘tHooft Model

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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 .

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