In-medium similarity renormalization group with flowing 3-body operators, and approximations thereof
S. R. Stroberg, Titus Morris, B. C. He
Abstract
We explore the impact of retaining three-body operators within the in-medium similarity renormalization group (IMSRG), as well as various approximations schemes. After studying two toy problems, identical fermions with a contact interaction and the Lipkin-Meshkov-Glick model, we employ the valence-space formulation of the IMSRG to investigate the even-$A$ carbon isotopes with a chiral two-body potential. We find that retaining only those commutators expressions that scale as ${N}^{7}$ provides an excellent approximation of the full three-body treatment.
Topics & Concepts
Valence (chemistry)Renormalization groupRenormalizationFermionPhysicsSimilarity (geometry)Mathematical physicsMathematicsTheoretical physicsStatistical physicsQuantum mechanicsComputer scienceImage (mathematics)Artificial intelligenceNuclear physics research studiesQuantum Chromodynamics and Particle InteractionsAtomic and Molecular Physics