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电子-质子的深度非弹性散射(Ⅱ)

DEEP INELASTIC ELECTRON-PROTON SCATTERING (Ⅱ)

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【作者】 曹昌祺秦旦华

【Author】 CAO CHANG-QI QIN DAN-HUA (Department of Physics, Beijing University)

【机构】 北京大学物理系北京大学物理系

【摘要】 本文应用戴逊表示来研究层子的一般图形,以考察不依赖击出图形是否也能得到无标度性。结果表明,只要流对易子矩阵元的戴逊表示中的谱函数在m2大时具有合适的行为,在ν大时就可以得到无标度性。至于q2的值,则并无限制。q2很小甚至趋于零都是允许的。此特点似与实验相符合。另外,对于一定的ν,结构张量Wμv只决定于谱函数在m2Mpν范围内的值,而与真正的m2→∞时的渐近行为并无关系。因此,目前所观测到的无标度性也许只是一定范围内的现象,当ν更大时,很可能会出现质的变化。

【Abstract】 Dyson representation is applied to find out whether the scaling property can be derived without reliance on the knocked-out mechanism. It is shown that, provided the spectral function in the Dyson represention of the matrix element of the current operators commutator has the proper behavior for large m2, the scaling property then follows for large v. No restriction whatever is required for q2, which may be very small even approaching zero. This characteristic seems to be consistent with the experiments. Furthermore, for a given v, the structure tensor Wμv is only determined by the spectral function inside the region m2<MPv, with no dependence on the true asymptotic behavior at m2→∞. Therefore the present observed scaling may only be a phenomena within a certain range. As v becomes still larger, the situation will probably change qualitatively.

  • 【文献出处】 物理学报 ,Acta Physica Sinica , 编辑部邮箱 ,1976年04期
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