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arXiv 1102.1537nucl-th
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相对论重子手征微扰理论中的πN散射

πN scattering in relativistic baryon chiral perturbation theory revisited

J. M. Alarcon, J. Martin Camalich, J. A. Oller, L. Alvarez-Ruso

摘要:

我们利用红外正则化的明显相对论协变框架分析了π-核子散射,直到手征展开中的{ \cal O}(q ^3),其中q是一般的小动量。我们描述的低能量相移与以前实现的重重子手征微扰理论,\sqrt{s} \lesssim 1.14 GeV的类似的质量。提供了{ \cal O}(q^2)和{ \cal O}(q^3)低能常数的新值,并与以前的测定结果进行了比较。散射长度和体积也是如此。最后,我们对以前的振幅进行了归一化,结果数据再现的能量范围显着增加。

英文摘要:

We have analyzed pion-nucleon scattering using the manifestly relativistic covariant framework of Infrared Regularization up to {\cal O}(q^3) in the chiral expansion, where q is a generic small momentum. We describe the low-energy phase shifts with a similar quality as previously achieved with Heavy Baryon Chiral Perturbation Theory, \sqrt{s}\lesssim1.14 GeV. New values are provided for the {\cal O}(q^2) and {\cal O}(q^3) low-energy constants, which are compared with previous determinations. This is also the case for the scattering lengths and volumes. Finally, we have unitarized the previous amplitudes and as a result the energy range where data are reproduced increases significantly.

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