Operator evolution from the similarity renormalization group and the Magnus expansion

Tropiano, A. J.; Bogner, S. K.; Furnstahl, R. J.

doi:10.1103/physrevc.102.034005

Title: Operator evolution from the similarity renormalization group and the Magnus expansion

Journal Article · Fri Sep 18 00:00:00 EDT 2020 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.102.034005· OSTI ID:1803235

^[1]; Bogner, S. K. ^[2];

^[1]

The Ohio State Univ., Columbus, OH (United States)
Michigan State Univ., East Lansing, MI (United States)

The Magnus expansion is an efficient alternative to solving similarity renormalization group (SRG) flow equations with high-order, memory-intensive ordinary differential equation solvers. The numerical simplifications it offers for operator evolution are particularly valuable for in-medium SRG calculations, though challenges remain for difficult problems involving intruder states. Here we test the Magnus approach in an analogous but more accessible situation, which is the free-space SRG treatment of the spurious bound states arising from a leading-order chiral effective field theory (EFT) potential with very high cutoffs. In this work, we show that the Magnus expansion passes these tests and then use the investigations as a springboard to address various aspects of operator evolution that have renewed relevance in the context of the scale and scheme dependence of nuclear processes. These aspects include SRG operator flow with band- versus block-diagonal generators, universality for chiral EFT Hamiltonians and associated operators with different regularization schemes, and the impact of factorization arising from scale separation. Implications for short-range correlations physics and the possibilities for reconciling high- and low-resolution treatments of nuclear structure and reactions are discussed.

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Research Organization:: Michigan State Univ., East Lansing, MI (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0018083; PHY-1614460; PHY-1913069; RC107839-OSU; PHY-1713901

OSTI ID:: 1803235

Journal Information:: Physical Review. C, Vol. 102, Issue 3; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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