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arXiv 1602.00408nucl-thhep-phnucl-ex
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团簇有效场论中低能$α$ - $^{12}$ C弹性散射

Elastic $α$-$^{12}$C scattering at low energies in cluster effective field theory

Shung-Ichi Ando

摘要:

本文采用有效场论,将$α$和$^{12}$ C态作为类元场处理,研究了低能弹性$α$-$^{12}$ C散射。讨论了${}^{12}$ C($α$,$γ$)$^{16}$ O过程在恒星能区的理论尺度,得到了弹性散射振幅的有效射程参数表达式.使用实验数据的相移$l=0,1,2$通道在低能量,其中的共振区域是避免的,我们固定的参数值,并发现,在低能量的相移是很好地再现通过使用三个有效范围参数为每个通道。此外,我们讨论了目前的方法的问题和不确定性时,振幅外推到恒星的能量区域。

英文摘要:

The elastic $α$-$^{12}$C scattering at low energies is studied employing an effective field theory in which the $α$ and $^{12}$C states are treated as elementary-like fields. We discuss scales of the theory at stellar energy region that the ${}^{12}$C($α$, $γ$)$^{16}$O process occurs, and then obtain an expression of the elastic scattering amplitudes in terms of effective range parameters. Using experimental data of the phase shifts for $l=0,1,2$ channels at low energies, for which the resonance regions are avoided, we fix values of the parameters and find that the phase shifts at the low energies are well reproduced by using three effective range parameters for each channel. Furthermore, we discuss problems and uncertainties of the present approach when the amplitudes are extrapolated to the stellar energy region.

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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