skip to main content

DOE PAGESDOE PAGES

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

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:
 [1]
  1. San Diego State Univ., CA (United States). Dept. of Physics
Publication Date:
Grant/Contract Number:
FG02-03ER41272; AC02-05CH11231; AC02-06CH11357
Type:
Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 774; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Research Org:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
OSTI Identifier:
1437745
Alternate Identifier(s):
OSTI ID: 1478752

Johnson, Calvin W. Tracing the evolution of nuclear forces under the similarity renormalization group. United States: N. p., Web. doi:10.1016/j.physletb.2017.10.011.
Johnson, Calvin W. Tracing the evolution of nuclear forces under the similarity renormalization group. United States. doi:10.1016/j.physletb.2017.10.011.
Johnson, Calvin W. 2017. "Tracing the evolution of nuclear forces under the similarity renormalization group". United States. doi:10.1016/j.physletb.2017.10.011.
@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. Section B},
number = C,
volume = 774,
place = {United States},
year = {2017},
month = {10}
}