Four-nucleon force using the method of unitary transformation

Abstract

We discuss in detail the derivation of the leading four-nucleon force in chiral effective field theory using the method of unitary transformation. The resulting four-nucleon force is given in both momentum and configuration space. It does not contain any unknown parameters and can be used in few- and many-nucleon studies.

22 pages, 13 figures

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• 50 Years of Quantum Chromodynamics
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• Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
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• Chiral thermodynamics of nuclear matter
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• Nuclear matter properties with nucleon-nucleon forces up to fifth order in the chiral expansion
• Historical perspective and future prospects for nuclear interactions
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• Three-nucleon force in chiral EFT with explicit $\Delta (1232)$ degrees of freedom: Longest-range contributions at fourth order
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• Pairing in the Framework of the Unitary Correlation Operator Method (UCOM): Hartree-Fock-Bogoliubov Calculations
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• To which densities is spin-polarized neutron matter a weakly interacting Fermi gas?
• Short-range correlations in isospin symmetric and asymmetric nuclear matter: a microscopic perspective
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• Recent Progress in the Theory of Nuclear Forces
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