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arXiv 0706.0984nucl-thhep-ph
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解构三重态核子-核子散射

Deconstructing triplet nucleon-nucleon scattering

Michael C. Birse

摘要:

本文用有效场论分析了自旋三重态通道中的核子-核子散射。要证明这一点,需要在这种潜力的强度中确定一个额外的低能尺度。短程相互作用的组织,根据由此产生的功率计数,其中领先的长期推广到显着较低的顺序比通常的微扰计数。在每一个通道中,都有一个临界动量,超过这个临界动量,波就会探测到张量势的奇异核,因此需要新的计数。当使用扭曲波玻恩近似去除一π和二π交换的影响时,新计数中的前三项很好地描述了L<=2的波中的剩余散射。相比之下,散射波与L>=3是一致的微扰计数,至少在能量高达300兆电子伏。这种模式是在这些渠道的临界动量的估计。

英文摘要:

Nucleon-nucleon scattering in spin-triplet channels is analysed within an effective field theory where one-pion exchange is treated nonperturbatively. Justifying this requires the identification of an additional low-energy scale in the strength of that potential. Short-range interactions are organised according to the resulting power counting, in which the leading term is promoted to significantly lower order than in the usual perturbative counting. In each channel there is a critical momentum above which the waves probe the singular core of the tensor potential and the new counting is necessary. When the effects of one- and two-pion exchange have been removed using a distorted-wave Born approximation, the residual scattering in waves with L<=2 is well described by the first three terms in the new counting. In contrast, the scattering in waves with L>=3 is consistent with the perturbative counting, at least for energies up to 300 MeV. This pattern is in agreement with estimates of the critical momenta in these channels.

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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