Abstract
In Chap. 1, we introduced the concept of EFT, and in Chap. 2 we applied the EFT method to the low-energy sector of QCD. This led us to the framework of chiral EFT and provided us with a description of the interactions between nucleons, which is valid at low energies, as encountered by nucleons in nuclei. In order to use chiral EFT to predict the properties of nuclei and make contact with phenomena of current interest, we need the ability to compute spectra, transitions and other properties of many-body systems (such as nuclei or nuclear matter) starting from the chiral EFT Hamiltonian. Not surprisingly, there are several different choices one can make for the calculational method with which to describe interacting low-energy nucleons. More precisely, there are essentially two pathways to proceed if one wants to base the many-body calculation on the forces discussed in the preceding chapter. One much studied type of approach is to use these chiral continuum forces in combination with a standard and well-developed few- or many-body method, such as the Faddeev-Yakubovsky integral equations for few-nucleon systems or the (no-core) shell model, coupled cluster theory, etc. for larger systems. Such approaches are vigorously pursued by many researchers world-wide.
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Lähde, T.A., Meißner, UG. (2019). Lattice Formulations. In: Nuclear Lattice Effective Field Theory. Lecture Notes in Physics, vol 957. Springer, Cham. https://doi.org/10.1007/978-3-030-14189-9_3
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