An Advanced Course in Computational Nuclear Physics by Morten Hjorth-Jensen Maria Paola Lombardo & Ubirajara van Kolck

Author:Morten Hjorth-Jensen, Maria Paola Lombardo & Ubirajara van Kolck
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

(8.3)

with

where A labels the number of nucleons, C denotes the number of separately connected pieces and L the number of loops in the diagram; d i is the number of derivatives or pion-mass insertions and n i the number of nucleon fields (nucleon legs) involved in vertex i; the sum runs over all vertices contained in the diagram under consideration. Note that Δ i ≥ 0 for all interactions allowed by chiral symmetry. In this work we will focus on the simple Minnesota model discussed above. It is however possible, see also the exercises, to include two- and three-nucleon forces at order NNLO, as indicated in Fig. 8.1.

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