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arXiv 1710.07930nucl-thhep-phhep-th
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用于粒子和核物理的纯自旋3/2传播子

Pure spin-3/2 propagator for use in particle and nuclear physics

J. Kristiano, S. Clymton, T. Mart

摘要:

我们提出在粒子和核物理中的$(3/2,0) \oplus (0,3/2)$表示中使用纯自旋3/2传播子。为了制定协变形式的传播,我们使用反对称张量旋量表示,我们认为弹性$πN$散射的$Δ$共振贡献作为一个例子。我们发现,使用传统的规范不变的相互作用拉格朗日导致一个问题,所获得的散射振幅不表现出共振行为。为了克服这个问题,我们通过添加动量依赖性来修改相互作用。与Rarita-Schwinger的情况一样,我们发现只有在相互作用中考虑强子形状因子,才能在纯自旋3/2的表述中得到完美的共振描述。

英文摘要:

We propose the use of pure spin-3/2 propagator in the $(3/2,0) \oplus (0,3/2)$ representation in particle and nuclear physics. To formulate the propagator in a covariant form we use the antisymmetric tensor spinor representation and we consider the $Δ$ resonance contribution to the elastic $πN$ scattering as an example. We find that the use of conventional gauge invariant interaction Lagrangian leads to a problem; the obtained scattering amplitude does not exhibit the resonance behavior. To overcome this problem we modify the interaction by adding a momentum dependence. As in the case of Rarita-Schwinger we find that a perfect resonance description could be obtained in the pure spin-3/2 formulation only if hadronic form factors were considered in the interactions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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