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arXiv 1111.7160hep-ph
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π π散射振幅的Regge分析

Regge analysis of the pi pi scattering amplitude

Irinel Caprini, Gilberto Colangelo, Heinrich Leutwyler

摘要:

减法常数的理论预测导致一个非常准确的色散表示的π π散射振幅低于0.8 GeV。这种表示的扩展到最大能量的有效性的罗伊方程(1.15 GeV)需要一个更精确的输入在高能量。在本文中,我们确定的轨道和残留物的领先Regge贡献的π π振幅(Pomeron,f和ρ),使用因式分解,唯象参数化的π N和NN总截面在高能量和一组求和规则连接的高,低能量的π π散射的属性。我们发现,非领先的Regge条款是必要的,以实现平稳过渡,从部分波的Regge表示或低于2 GeV。这样我们得到了一个与高能实验信息和Roy方程相一致的Regge表示。在我们的结果的Regge参数的不确定性是相当大的,但在罗伊方程的解决方案,这些只表现出自己高于K-Kbar阈值。

英文摘要:

The theoretical predictions for the subtraction constants lead to a very accurate dispersive representation of the pi pi scattering amplitude below 0.8 GeV. The extension of this representation up to the maximum energy of validity of the Roy equations (1.15 GeV) requires a more precise input at high energies. In this paper we determine the trajectories and residues of the leading Regge contributions to the pi pi amplitude (Pomeron, f and rho), using factorization, phenomenological parametrizations of the pi N and NN total cross sections at high energy and a set of sum rules which connect the high and low energy properties of pi pi scattering. We find that nonleading Regge terms are necessary in order to achieve a smooth transition from the partial waves to the Regge representation at or below 2 GeV. We obtain thus a Regge representation consistent both with the experimental information at high energies and the Roy equations for the partial waves with l =< 4. The uncertainties in our result for the Regge parameters are sizable but in the solutions of the Roy equations, these only manifest themselves above K-Kbar threshold.

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