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arXiv 1703.09802hep-phnucl-th
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矢量介子的吸收修正。与复杂质量方案和纵向修正的匹配

Absorptive corrections for vector mesons. Matching to complex mass scheme and longitudinal corrections

L. A. Jiménez Pérez, G. Toledo Sánchez

摘要:

通过对电磁顶点和传播子的吸收修正,在不破坏电磁规范不变性的情况下,适当地描述了不稳定的自旋1粒子。我们表明,修改后的传播子可以设置成一个复杂的质量形式,提供的质量和宽度参数,这是适当定义在极点位置,被替换为能量相关的功能,满足相同的要求在极点。对于$K^*(892)$矢量介子,质量函数从$Kπ$阈值到极点位置偏离约2 MeV。吸收校正取决于环中粒子的质量。对于主要衰变为两个赝标介子($PP'$)的矢量介子,味对称性破缺引起传播子纵向部分的修正。考虑到$τ^- \to K_Sπ^-ν_τ$的衰减,我们说明这些修正获得修改后的矢量和标量形状因子。考虑$K^*(892)$和$K^{'*}(1410)$矢量和一个标量粒子描述$K_Sπ^-$谱。尽管如此,对于这种情况,发现对标量形状因子的校正是可忽略的。

英文摘要:

Unstable spin-1 particles are properly described by including absorptive corrections to the electromagnetic vertex and propagator, without breaking the electromagnetic gauge invariance. We show that the modified propagator can be set into a complex mass form, provided the mass and the width parameters, which are properly defined at the pole position, are replaced by energy dependent functions fulfilling the same requirements at the pole. We exemplify the case for the $K^*(892)$ vector meson, where the mass function deviates around 2 MeV from the $Kπ$ threshold to the pole position. The absorptive correction depends on the mass of the particles in the loop. For vector mesons, whose main decay is into two pseudoscalar mesons ($PP'$), the flavor symmetry breaking induces a correction to the longitudinal part of the propagator. Considering the $τ^- \to K_Sπ^-ν_τ$ decay, we illustrate these corrections by obtaining the modified vector and scalar form factors. The $K_Sπ^-$ spectrum is described considering the $K^*(892)$ and $K^{'*}(1410)$ vectors and one scalar particle. Nonetheless, for this case, the correction to the scalar form factor is found to be negligible.

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