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 e...

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Main Author:	Calvin W. Johnson
Format:	Article
Language:	English
Published:	Elsevier 2017-11-01
Series:	Physics Letters B
Online Access:	http://www.sciencedirect.com/science/article/pii/S0370269317308237

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spelling	doaj-08f77dde6e44408ca4f693bde01ec5242020-11-24T23:49:53ZengElsevierPhysics Letters B0370-26931873-24452017-11-01774C46546910.1016/j.physletb.2017.10.011Tracing the evolution of nuclear forces under the similarity renormalization groupCalvin W. JohnsonI 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. 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.http://www.sciencedirect.com/science/article/pii/S0370269317308237
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Calvin W. Johnson
spellingShingle	Calvin W. Johnson Tracing the evolution of nuclear forces under the similarity renormalization group Physics Letters B
author_facet	Calvin W. Johnson
author_sort	Calvin W. Johnson
title	Tracing the evolution of nuclear forces under the similarity renormalization group
title_short	Tracing the evolution of nuclear forces under the similarity renormalization group
title_full	Tracing the evolution of nuclear forces under the similarity renormalization group
title_fullStr	Tracing the evolution of nuclear forces under the similarity renormalization group
title_full_unstemmed	Tracing the evolution of nuclear forces under the similarity renormalization group
title_sort	tracing the evolution of nuclear forces under the similarity renormalization group
publisher	Elsevier
series	Physics Letters B
issn	0370-2693 1873-2445
publishDate	2017-11-01
description	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. 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.
url	http://www.sciencedirect.com/science/article/pii/S0370269317308237
work_keys_str_mv	AT calvinwjohnson tracingtheevolutionofnuclearforcesunderthesimilarityrenormalizationgroup
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Tracing the evolution of nuclear forces under the similarity renormalization group

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