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arXiv 1506.02443hep-ph
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π(-)p-> π(-)π(+)n中ppi相移分析与rho^0(770)-f_0(980)自旋混合的一致性

Consistency of pipi phase shift analyses with rho^0(770)-f_0(980) spin mixing in pi(-)p->pi(-)pi(+)n

Miloslav Svec

摘要:

我们已经进行了两个分析pipi相移分析使用的标准振幅分析的欧洲核子研究中心的数据pi(-)p->pi(-)pi(+)n极化靶在17.2 GeV/c和一个更近的分析相同的数据使用自旋混合机制(SMM)。标准分析中的螺旋度振幅有两种解,分别标为(1,1)和(2,2),SMM分析中的自旋混合和S矩阵与pipi散射振幅有关。我们的第一个相移分析是低于KKbar阈值的弹性散射分析。我们的第二个分析是低于1080 MeV的pi(-)pi(+)和pi(0)pi(0)数据的联合pipi相移分析。我们的弹性解(2,2)1和弹性解自旋混合1与1997年使用相同的CERN极化靶数据的Cracow解Down-flat非常一致。我们的联合解决方案(2,2)和联合解决方案旋转混合也在一个显着的协议与2002年联合克拉科夫解决方案下降单位。弹性解(1,1)和节理解(1,1)与上平坦解一致,被拒绝。对17.2和1.78 GeV/c的pi(-)p->pi(-)pi(+)n以及5.98和11.85 GeV/c的pi(+)n->pi(+)pi(-)p测量值的模型无关振幅分析揭示了S波横向振幅中rho^0(770)-f_0(980)自旋混合的证据。这些横向振幅定义了与pipi散射振幅相关的单翻转螺旋度振幅。我们的主要观察结果是,所提出的解和Cracow解与测量到的横向振幅中rho^0(770)-f_0(980)自旋混合的证据是一致的,所有这些相移最终都是从横向振幅中产生的。

英文摘要:

We have performed two analytical pipi phase shift analyses using a Standard amplitude analysis of the CERN data on pi(-)p->pi(-)pi(+)n on polarized target at 17.2 GeV/c and a more recent analysis of the same data using Spin Mixing Mechanism (SMM). There are two solutions for helicity amplitudes labeled (1,1) and (2,2) in the Standard analysis and SpinMixing and S-Matrix in the SMM analysis which are related to the pipi scattering amplitudes. Our first phase shift analysis is an elastic scattering analysis below KKbar threshold. Our second analysis is a joint pipi phase shift analysis of pi(-)pi(+) and pi(0)pi(0) data below 1080 MeV. Our elastic Solution (2,2)1 and elastic Solution SpinMixing 1 for delta^0_S are in a remarkable agreement with the 1997 Cracow Solution Down-flat using the same CERN data on polarized target. Our joint Solution (2,2) and joint Solution SpinMixing are also in a remarkable agreement with the 2002 joint Cracow Solution Down-flat. Solutions elastic (1,1) and joint (1,1) agree with the Cracow Solutions Up-flat and are rejected. Model independent amplitude analyses of measurements of pi(-)p->pi(-)pi(+)n at 17.2 and 1.78 GeV/c and pi(+)n->pi(+)pi(-)p at 5.98 and 11.85 GeV/c reveal evidence for rho^0(770)-f_0(980) spin mixing in the S-wave transversity amplitudes. These transversity amplitudes define single-flip helicity amplitudes which have been related to pipi scattering amplitudes. Our key observation is that the presented and the Cracow solutions are consistent with the evidence for rho^0(770)-f_0(980) spin mixing in the measured transversity amplitudes from which all these phase shifts ultimately arise.

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