论文标题

Pion-Nucleon散射以订购$ p^4 $ in SU(3)重型bary手性扰动理论

Pion-nucleon scattering to order $p^4$ in SU(3) heavy baryon chiral perturbation theory

论文作者

Huang, Bo-Lin

论文摘要

我们计算了弹性锥形 - 核子($πn$)的$ t $ - matrices,在SU中散射高达第四阶(3)重的Baryon手性扰动理论。相关的低能常数是通过将$πn$相位移动拟合到200 meV pion实验室动量的$πn$确定。从手性振幅中提取散射长度和散射量,并与其他方法和可用的实验值非常吻合。我们还讨论了子阈值参数和相关问题。根据各个相移,阈值参数和子阈值参数,详细分析了手性膨胀的收敛性。该计算提供了考虑涉及陌生性的更复杂的过程的可能性。

We calculate the $T$-matrices of elastic pion-nucleon ($πN$) scattering up to fourth order in SU(3) heavy baryon chiral perturbation theory. The pertinent low-energy constants are determined by fitting to $πN$ phase shifts below 200 MeV pion laboratory momentum in the physical region. The scattering lengths and scattering volumes are extracted from the chiral amplitudes, and turn out to be in good agreement with those of other approaches and the available experimental values. We also discuss the subthreshold parameters and the related issues. On the basis of the various phase shifts, the threshold parameters and the subthreshold parameters, the convergence of the chiral expansion is analyzed in detail. The calculation provides the possibility to consider explicitly more complex processes involving strangeness.

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