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Light and Medium-Mass Nuclei on the Lattice

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Nuclear Lattice Effective Field Theory

Part of the book series: Lecture Notes in Physics ((LNP,volume 957))

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Abstract

The success of the NLEFT description of light and medium-mass nuclei (with A ≥ 4) is dependent on the theoretical formalism and Monte Carlo (MC) techniques developed in the previous chapters. First and foremost, these include the EFT description of the nuclear force in terms of nucleons and pions (rather than quarks and gluons), and the expression of the transfer matrix formalism in terms of a path integral over auxiliary fields. The application of this theoretical framework to nuclei requires accurate computations of scattering phase shifts using the spherical wall method, and the use of an efficient Hybrid Monte Carlo (HMC) algorithm with favorable computational scaling in A. Observables are then computed by means of Euclidean time projection and effective cluster Hamiltonians. As we have shown in Chaps. 5 and 6, these methods overcome significant obstacles to a successful a priori treatment of multi-nucleon systems on the lattice. In this chapter, we will show how these components of NLEFT, when taken together, allow some of the key problems in nuclear theory to be addressed. It should be clear from our earlier presentation of the EFT framework and computational methods that NLEFT is a vigorously developing field of study where theory as well as algorithms are subject to continuous refinement. In this chapter, we shall therefore avoid putting focus on any given version of the NLEFT action and results, but rather focus on the general methods with which NLEFT can be applied to systems with A ≥ 4, and on the issues and problems encountered along the way.

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Authors and Affiliations

  1. Institute for Advanced Simulation and Institute of Nuclear Physics, Forschungszentrum Jülich, Jülich, Germany

    Timo A. Lähde & Ulf-G. Meißner

  2. Helmholtz-Institut für Strahlen-und Kernphysik (Theorie), University of Bonn, Bonn, Germany

    Ulf-G. Meißner

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  1. Timo A. Lähde
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  2. Ulf-G. Meißner
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Lähde, T.A., Meißner, UG. (2019). Light and Medium-Mass Nuclei on the Lattice. In: Nuclear Lattice Effective Field Theory. Lecture Notes in Physics, vol 957. Springer, Cham. https://doi.org/10.1007/978-3-030-14189-9_7

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