再论高能核子-核子散射的海森堡模型
More on Heisenberg's model for high energy nucleon-nucleon scattering
摘要：
我们重新海森堡模型的核子核子散射，承认饱和的弗鲁瓦萨尔约束。我们检查它的唯一性，并发现，某些自然的推广，这是唯一的行动，饱和的约束。我们发现，我们也可以提取子领先的行为$σ_{\rm tot}(s)$从它，虽然这需要一个知识的波函数的解决方案是很难获得的，和一个黑色的磁盘模型允许计算$σ_{elastic}(s)$以及。对波函数解进行了微扰分析，并解释了其来源。我们讨论了Heisenberg模型与全息模型之间的关系，这些全息模型与类QCD理论是对偶的。
英文摘要：
We revisit Heisenberg's model for nucleon-nucleon scattering which admits a saturation of the Froissart bound. We examine its uniqueness, and find that up to certain natural generalizations, it is the only action that saturates the bound. We find that we can extract also sub-leading behaviour for $σ_{\rm tot}(s)$ from it, though that requires a knowledge of the wavefunction solution that is hard to obtain, and a black-disk model allows the calculation of $σ_{elastic}(s)$ as well. The wavefunction solution is analyzed perturbatively, and its source is interpreted. Generalizations to several mesons, addition of vector mesons, and curved space regimes are also found. We discuss the relations between Heisenberg's model and holographic models that are dual to QCD-like theories.
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