Tracing the evolution of nuclear forces under the similarity renormalization group

Johnson, Calvin W.

doi:10.1016/j.physletb.2017.10.011

Title: Tracing the evolution of nuclear forces under the similarity renormalization group

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Abstract

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.

Authors:: Johnson, Calvin W.

Publication Date:: Wed Nov 01 00:00:00 EDT 2017

Research Org.:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1437745

Alternate Identifier(s):: OSTI ID: 1478752

Grant/Contract Number:: FG02-03ER41272; AC02-05CH11231; AC02-06CH11357

Resource Type:: Published Article

Journal Name:: Physics Letters B

Additional Journal Information:: Journal Name: Physics Letters B Journal Volume: 774 Journal Issue: C; Journal ID: ISSN 0370-2693

Publisher:: Elsevier

Country of Publication:: Netherlands

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

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                    Johnson, Calvin W. Tracing the evolution of nuclear forces under the similarity renormalization group.  Netherlands: N. p., 2017. 
Web.  doi:10.1016/j.physletb.2017.10.011.

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                    Johnson, Calvin W. Tracing the evolution of nuclear forces under the similarity renormalization group.  Netherlands.  https://doi.org/10.1016/j.physletb.2017.10.011

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                    Johnson, Calvin W. Wed .  
"Tracing the evolution of nuclear forces under the similarity renormalization group".  Netherlands.  https://doi.org/10.1016/j.physletb.2017.10.011.

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@article{osti_1437745,

  title        = {Tracing the evolution of nuclear forces under the similarity renormalization group},

  author       = {Johnson, Calvin W.},

  abstractNote = {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.},

  doi          = {10.1016/j.physletb.2017.10.011},

  journal      = {Physics Letters B},

  number       = C,

  volume       = 774,

  place        = {Netherlands},

  year         = {Wed Nov 01 00:00:00 EDT 2017},

  month        = {Wed Nov 01 00:00:00 EDT 2017}

}

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