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arXiv 1107.2845hep-ph
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单π介子的中微子产生:偶极描述

Neutrino-production of single pions: dipole description

B. Z. Kopeliovich, Ivan Schmidt, M. Siddikov

摘要:

轴向电流的光锥分布幅度内的瞬子真空模型(IVM),其中包括非微扰效应,包括自发的手征对称性破缺。这允许扩展的偶极子方法的适用性,通常用于微扰域,下降到$Q^{2}\to0$,其中部分守恒轴向电流(PCAC)施加中微子生产截面和一个诱导的π介子之间的关系。最近在arXiv:1105.1711中揭示了由吸收修正引起的π介子衍射中微子产生的阿德勒关系(AR)的戏剧性崩溃。事实上,与质子靶上$Q^{2}\to0$的偶极现象预测的横截面相比,我们证实了与AR给出的值的相当大的偏差,正如arXiv:1105.1711中在简化的双通道模型中估计的那样。偶极子的方法也证实,在黑色光盘的限制,其中的吸收校正最大化,衍射截面停止,与基于PCAC的预期相反。

英文摘要:

The light-cone distribution amplitudes for the axial current are derived within the instanton vacuum model (IVM), which incorporates nonperturbative effects including spontaneous chiral symmetry breaking. This allows to extend applicability of the dipole approach, usually used in the perturbative domain, down to $Q^{2}\to0$, where partially conserved axial current (PCAC) imposes a relation between the neutrino-production cross section and the one induced by pions. A dramatic breakdown of the Adler relation (AR) for diffractive neutrino-production of pions, caused by absorptive corrections, was revealed recently in arXiv:1105.1711. Indeed, comparing with the cross section predicted by the dipole phenomenology at $Q^{2}\to0$ on a proton target we confirmed the sizable deviation from the value given by the AR, as was estimated in arXiv:1105.1711 within a simplified two-channel model. The dipole approach also confirms that in the black-disc limit, where the absorptive corrections maximize, the diffractive cross section ceases, on the contrary to the expectation based on PCAC.

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