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Evolving Nuclear Many-Body Forces with the Similarity Renormalization Group

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arxiv 1011.4085 v1 pith:JQJMAF3G submitted 2010-11-17 nucl-th

classification nucl-th
keywords forcesinducedmany-bodynuclearcalculationsconsistentgrouphierarchy
verification ladder T0 review T1 audit T2 compute T3 formal
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In recent years, the Similarity Renormalization Group has provided a powerful and versatile means to soften interactions for ab initio nuclear calculations. The substantial contribution of both induced and initial three-body forces to the nuclear interaction has required the consistent evolution of free-space Hamiltonians in the three-particle space. We present the most recent progress on this work, extending the calculational capability to the p-shell nuclei and showing that the hierarchy of induced many-body forces is consistent with previous estimates. Calculations over a range of the flow parameter for 6Li, including fully evolved NN+3N interactions, show moderate contributions due to induced four-body forces and display the same improved convergence properties as in lighter nuclei. A systematic analysis provides further evidence that the hierarchy of many-body forces is preserved.

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  1. Systematic study of large-momentum distribution in nuclei with the operator product expansion

    nucl-th 2024-12 conditional novelty 6.0 of 10

    Using OPE matched to Pionless EFT, the authors reproduce the deuteron's high-momentum nucleon distribution from scattering-state inputs, validating the method against the AV18 potential.

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