Abstract
In this article I summarize recent progress in the effective field theory approach to low energy nuclear systems, with a focus on the power counting issue. In the pionless sector, where the power counting is quite well understood at the nucleon–nucleon (NN) level, I discuss some recent developments toward few- and many-body calculations. In the pionful sector, I focus on the actively debated issue of power counting in the NN sector and some recent developments toward a model-independent NN interaction. Finally, the scenario that the power counting might depend on the number of particles is discussed.
Highlights
The pursuit towards a truly model-independent description of low-energy (< 1 GeV) nuclear systems have been carried out through Effective field theory (EFT) for several decades
A prerequisite is that physics at the scale of interest can be separated from unimportant details1—which is normally the ultraviolet physics
If this is the case, one has at least two momentum scales in the theory, i.e., the high-energy scale Mhi which characterizes our ignorance of ultraviolet physics, and the low-energy scale Mlo which characterizes the physics
Summary
The pursuit towards a truly model-independent description of low-energy (< 1 GeV) nuclear systems have been carried out through Effective field theory (EFT) for several decades. In this approach, one first builds the inter-nucleon interaction through a Lagrangian which captures important symmetries of QCD at low energy, and carries out ab-initio calculations based on the resulting interaction to predict nuclear properties. The low-energy scale Mlo usually contains the center of mass (c.m.) momentum of the nucleon pcm or some other typical momentum scale ptyp such as the pion mass mπ , i.e., pcm, ptyp ⊂ Mlo. The breakdown scale Mhi depends on the degrees of freedom included in the theory.
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