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Many-body approaches for atomic nuclei generally rely on a basis expansion ofthe nuclear states, interactions, and current operators. In this work, wederive the representation of the magnetic dipole operator in plane-wave andharmonic-oscillator basis states, as needed for Faddeev calculations offew-body systems or many-body calculations within, e.g., the no-core shellmodel, the in-medium renormalization group, coupled-cluster theory, or thenuclear shell model. We focus in particular on the next-to-leading-ordertwo-body contributions derived from chiral effective field theory. We providedetailed benchmarks and also comparisons with quantum Monte Carlo results forthree-body systems. The derived operator matrix elements represent the basicinput for studying magnetic properties of atomic nuclei based on chiraleffective field theory.

Magnetic dipole operator from chiral effective field theory for many-body expansion methods