Tracing the evolution of nuclear forces under the similarity renormalization group

Journal Article · Wed Nov 01 00:00:00 EDT 2017 · Physics Letters B

DOI:https://doi.org/10.1016/j.physletb.2017.10.011· OSTI ID:1437745

Johnson, Calvin W.

I examine the evolution of nuclear forces under the similarity renormalization group (SRG) using traces of the many-body configuration-space Hamiltonian. While SRG is often said to “soften” the nuclear interaction, I provide numerical examples which paint a complementary point of view: the primary effect of SRG, using the kinetic energy as the generator of the evolution, is to shift downward the diagonal matrix elements in the model space, while the off-diagonal elements undergo significantly smaller changes. Furthermore by employing traces, I argue that this is a very natural outcome as one diagonalizes a matrix, and helps one to understand the success of SRG.

• Research Organization: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
• Sponsoring Organization: USDOE Office of Science (SC), Nuclear Physics (NP)
• Grant/Contract Number: FG02-03ER41272; AC02-05CH11231; AC02-06CH11357
• OSTI ID: 1437745
• Alternate ID(s): OSTI ID: 1478752
• Journal Information: Physics Letters B, Journal Name: Physics Letters B Vol. 774 Journal Issue: C; ISSN 0370-2693
• Publisher: Elsevier
• Country of Publication: Netherlands
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS