arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1107.3989nucl-thhep-ph
收藏

πN散射振幅的相对论手征表示

Relativistic chiral representation of the πN scattering amplitude

J. M. Alarcón, J. Martín Camalich, J. A. Oller, L. Alvarez-Ruso

摘要:

我们已经使用红外正则化(IR)和扩展质量壳层(EOMS)的明显相对论协变框架分析了π-核子散射,手征展开中的最大值为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子手征微扰理论的质量相似,EOMS的描述比IR的。Goldberger-Treiman差异是从使用这两种方案的分波分析的数据中提取的,对于IR的情况,由于环路的贡献,获得了不可接受的大值。另一方面,EOMS给出了与其他唯象方法兼容的小值。最后,我们已经unitarized振幅提供的两个方案,以扩大我们的描述范围获得良好的协议与数据的能量为\sqrt{s} \approx 1.3 GeV的EOMS计划,而IR不能超过能量\sqrt{s} \approx 1.25 GeV,由于该计划引入的非物理削减。

英文摘要:

We have analyzed pion-nucleon scattering using the manifestly relativistic covariant frameworks of Infrared Regularization (IR) and Extended-On-Mass-Shell (EOMS) up to 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, being the EOMS description better than the IR one. The Goldberger-Treiman discrepancy is extracted from data of partial wave analyses using both schemes, obtaining an unacceptable large value for the case of IR due to the loop contribution. On the other hand, EOMS gives small values compatible with other phenomenological approaches. Finally, we have unitarized the amplitudes provided by both schemes to extend the range of our description obtaining a good agreement with the data up to energies of \sqrt{s}\approx 1.3 GeV for the EOMS scheme while IR can not go beyond energies of \sqrt{s}\approx 1.25 GeV due to the unphysical cut that this scheme introduces.

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。

↑