Accurate Nucleon-Nucleon Potential Based upon Chiral Perturbation Theory

Abstract

We present an accurate nucleon-nucleon ($NN$) potential based upon chiral effective Lagrangians. The model includes one- and two-pion exchange contributions up to chiral order three. We show that a quantitative fit of the $NN$ $D$-wave phase shifts requires contact terms (which represent the short range force) of order four. Within this framework, the $NN$ phase shifts below 300 MeV lab. energy and the properties of the deuteron are reproduced with high-precision. This chiral $NN$ potential represents a reliable starting point for testing the chiral effective field theory approach in exact few-nucleon and microscopic nuclear many-body calculations. An important implication of the present work is that the chiral $2\pi$ exchange at order four is of crucial interest for future chiral $NN$ potential development.

7 pages RevTex, 3 figures, 1 table

References in corpus (2)

• Chiral $2\pi$-exchange NN-potentials: Two-loop contributions
• Chiral 3$\pi$-exchange NN-potentials: Results for dominant next-to-leading order contributions

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