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中国物理学会期刊

低能π介子—核子散射

CSTR: 32037.14.aps.20.207

LOW-ENERGY PION-NUCLEON SCATTERING

CSTR: 32037.14.aps.20.207
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  • 本文应用向前方向附近的定角色散关系推出了π介子-核子散射的s波和p波振幅的积分方程。方程中包含湮没过程的贡献,其中主要贡献来自二π介子中间态,为了检验ππ作用在π介子-核子散射过程中的效应,将散射相移观察值代入方程中作了数值计算。利用了核子电磁结构形式因子的实验知識,取共振能量平方tr=20,得到了I=J=1ππ散射共振宽度参数r≌0.1。此结果可同时符合三个低角动量分波振幅的实验材料,但共振宽度要比观察值小。

     

    The fixed angle dispersion relations near forward direction are applied to the derivation of the integral equations of s-wave and p-wave pion-nucleon scattering amplitudes. The equations involve the contribution of annihilation process, in which the main contribution comes from the two pions intermediate state. In order to examine the effect of ππ interaction on pion-nucleon scattering, the observed values of scattering phase shifts are substituted into the equations, and the numerical calculation is given. Using the experimental informations of the form factors of the electro-magnetic structure of nucleon, and taking the square resonance energy tr=20, we obtain the I=I=1ππ scattering resonance width parameter γ=0.1. This result is consistent with the experimental data of the all three low angular momentum partial wave amplitudes, but the resonance width is small compared with the observed value.

     

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