Practical Calculational Scheme Implementing the Wilsonian RG Results for Nuclear Effective Field Theory Including Pions
Practical Calculational Scheme Implementing the Wilsonian RG Results for Nuclear Effective Field Theory Including Pions
复制标题
实施包括介子在内的核有效场论的威尔逊 RG 结果的实用计算方案
DOI：
10.1007/s00601-012-0349-7
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发表时间：
2013
期刊：
影响因子：
1.6
通讯作者：
and Y. Yamamoto
中科院分区：
文献类型：
--
作者：
H.Kubo;H. Harada;T. Sakaeda;and Y. Yamamoto
在包含π子的核有效场论（NEFT）的威尔逊重整化群（WRG）分析的基础上，提出了一种实用的计算方案，其中去掉了一π子交换（S-OPE）的短程部分并表示为接触项。一π交换（L-OPE）的长距离部分被视为微扰。对于仅由接触相互作用组成的图，使用维数正则化（DR）大大简化了散射振幅和重整化群方程的计算。得到了S波中核子-核子弹性散射的非线性光学结果，并与实验进行了比较。对NNLO计算作了简要评述。
On the basis of the Wilsonian renormalization group (WRG) analysis of nuclear effective field theory (NEFT) including pions, we propose a practical calculational scheme in which the short-distance part of one-pion exchange (S-OPE) is removed and represented as contact terms. The long-distance part of one-pion exchange (L-OPE) is treated as perturbation. The use of dimensional regularization (DR) for diagrams consisting only of contact interactions considerably simplifies the calculation of scattering amplitude and the renormalization group equations. NLO results for nucleon-nucleon elastic scattering in the S-waves are obtained and compared with experiments. A brief comment on NNLO calculations is given.