HIGH-ENERGY DEUTERON CROSS SECTIONS
HIGH-ENERGY DEUTERON CROSS SECTIONS
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高能氘核截面
DOI：
10.1103/physrev.142.1195
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发表时间：
1966
期刊：
影响因子：
--
通讯作者：
R. Glauber
中科院分区：
文献类型：
--
作者：
V. Franco;R. Glauber
在高能近似下对粒子与氘核的碰撞进行了理论分析。这种近似对应于衍射理论的广义形式，明确考虑了双碰撞过程以及单碰撞过程。它用于根据中子和质子的弹性散射振幅以及氘核波函数来表示氘核的弹性和非弹性散射振幅。所得表达式用于评估弹性散射的微分横截面和非弹性散射的角分布（即，氘核分裂的微分横截面在入射粒子的最终能量上积分）。单独展示了各种单次和双次散射过程对这些横截面的贡献以及代表它们干涉的术语。导出了氘核的总横截面及其弹性和非弹性总散射和吸收横截面的表达式。详细解释了各种类型的氘核截面之间的差异以及自由中子和质子的相应截面的总和。处理自旋相关的相互作用，并且对于自旋 1/2 的入射粒子，根据中子和质子的一般自旋相关散射振幅给出了氘核总横截面的表达式。该理论适用于能量范围为 0.13 至 17.1 BeV 的反质子-氘核碰撞。发现针对各种氘核波函数模型计算的总截面和吸收截面的结果与测量结果非常一致。双散射以及单散射和双散射幅度的干扰等效应的幅度是相当大的。
A theoretical analysis of the collisions of particles with deuterons is carried out in the high-energy approximation. This approximation, which corresponds to a generalized form of diffraction theory, takes explicit account of double collision processes as well as single ones. It is used to express the amplitudes for elastic and inelastic scattering by deuterons in terms of the elastic-scattering amplitudes of the neutron and proton and the deuteron wave functions. The resulting expressions are used to evaluate the differential cross section for elastic scattering, and the angular distribution of inelastic scattering (ie, the differential cross section for deuteron breakup integrated over final energies of the incident particle). The contributions to these cross sections of the various single and double scattering processes and the terms which represent their interference are exhibited individually. Expressions are derived for the total cross section of the deuteron and for its elastic and inelastic total scattering and absorption cross sections. The difference between the various types of deuteron cross sections and the sum of the corresponding cross sections for the free neutron and proton is explained in some detail. Spin-dependent interactions are treated, and for incident particles of spin ½ an expression is given for the deuteron total cross section in terms of the general spin-dependent scattering amplitudes of the neutron and proton. The theory is applied to antiproton-deuteron collisions in the energy range from 0.13 to 17.1 BeV. The results for the total and absorption cross sections which are calculated for a variety of models of the deuteron wave function are found to be in good agreement with the measurements. The magnitudes of such effects as double scattering and the interference of single-and double-scattering amplitudes are seen to be appreciable.