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arXiv 1202.4053nucl-th
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单线态通道中的短程核力

Short-range nuclear forces in singlet channels

Bingwei Long, C. -J. Yang

摘要:

在建立手征核有效场论(EFT)的一致功率计数的基础上,以重整化群不变性为约束条件,讨论了核子-核子散射单重态通道中的次主导接触相互作用,即反项.我们认为,相当大的截止误差的领先幅度要求O(Q)的EFT扩展是非零的,相反,温伯格的原始功率计数。这一点,再加上扭曲波膨胀中两π介子交换的紫外发散,导致1 S 0反项的增强,并导致单重态通道的无π介子理论般的功率计数。

英文摘要:

Continuing our effort to build a consistent power counting for chiral nuclear effective field theory (EFT), we discuss the subleading contact interactions, or counterterms, in the singlet channels of nucleon-nucleon scattering, with renormalization group invariance as the constraint. We argue that the rather large cutoff error of the leading amplitude requires O(Q) of the EFT expansion to be nonvanishing, contrary to Weinberg's original power counting. This, together with the ultraviolet divergences of two-pion exchanges in the distorted-wave expansion, leads to enhancement of the 1S0 counterterms and results in a pionless-theory-like power counting for the singlet channels.

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