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arXiv 1301.5576nucl-thhep-phnucl-ex
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相对论手征微扰理论中的光生$π^0$阈值

Threshold $π^0$ photoproduction in relativistic chiral perturbation theory

Marius Hilt, Stefan Scherer, Lothar Tiator

摘要:

本文在明显洛伦兹不变的重子手征微扰理论中计算了质子的$π^0$光生,直到并包括手征级$q^4$。与结果,我们分析了最新的$π^0$光产生的数据在阈值区域获得的美因茨微波。在观测量的计算和低能常数的拟合中,我们考虑了$S$、$P$和$D$波。我们比较了相应的单能分析的多极子的结果。此外,我们还拟合了$O(q^4)$重子手征微扰理论的计算,并比较了两者的结果。我们为未来的实验提供了几个偏振观测值的预测。最后讨论了与同位旋对称性破缺有关的么正尖的$β$参数。

英文摘要:

We present a calculation of $π^0$ photoproduction on the proton in manifestly Lorentz-invariant baryon chiral perturbation theory up to and including chiral order $q^4$. With the results we analyze the latest $π^0$ photoproduction data in the threshold region obtained at the Mainz Microtron. In the calculation of observables and the fit of the low-energy constants, we take $S$, $P$, and $D$ waves into account. We compare the results for the multipoles with the corresponding single-energy analysis. Furthermore, we also fit the $O(q^4)$ heavy-baryon chiral perturbation theory calculation and compare both results. We provide predictions for several polarization observables for future experiments. Finally, we discuss the $β$ parameter of the unitarity cusp which is related to the breaking of isospin symmetry.

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。

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