Scaling Violation as a Threshold Effect of Charm Particle Production

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概要

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• An investigation is made of the Q^2-dependence of the nucleon structure functions in the quark-gluon system by introducing a cutoff on transverse momentum for the scattered quark, (-k_c^2). Predictions for the scaling deviations are compared with the recent SLAC and Fermilab data on deep-inelastic electroproduction. In our scheme the rising behavior with Q^2 at ω<sime>10 is interpreted as a threshold effect of charmed quark production. It is shown that finite (-k_c^2) leads to a weak Q^2-dependence such as (Q^2)^<-(1-ζ)> whereas for (-k_c^2)→∞ a strong Q^2-dependence such as (Q^2)^ζ follows (here ζ is an effective coupling constant which is assumed to be in the range 0<ζlt:1). The off shell scattering amplitude between con-stituents is represented in configuration space, and the short distance behavior, i.e., ∣x∣→0, is examined in order to study connections with scaling violation~. The results are : For finite (-k_c^2) the amplitude is non-singular as ∣x∣→0 and for (-k_c^2)→∞, the amplitude is singular and behaves as ∣x∣^<-2ζ> at ∣x∣→0.

• 一般社団法人日本物理学会の論文
• 1978-02-25

著者

• Hayashi Ryosei

  Department Of Physics Faculty Of Science Nagoya University

• HAYASHI Ryoko

  School of Information Science, Japan Advanced Institute of Science and Technology

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• Analysis of Soliton Bag Model : Correction to MIT Bag Model : Particles and Fields
• Scaling Violation as a Threshold Effect of Charm Particle Production

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