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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| Format: | Article |
| Language: | English |
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Elsevier
2017-11-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269317308237 |
| _version_ | 1818244311364403200 |
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| author | Calvin W. Johnson |
| author_facet | Calvin W. Johnson |
| author_sort | Calvin W. Johnson |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-12T14:15:00Z |
| format | Article |
| id | doaj.art-08f77dde6e44408ca4f693bde01ec524 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 1873-2445 |
| language | English |
| last_indexed | 2024-12-12T14:15:00Z |
| publishDate | 2017-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-08f77dde6e44408ca4f693bde01ec5242022-12-22T00:21:55ZengElsevierPhysics 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 |
| spellingShingle | Calvin W. Johnson Tracing the evolution of nuclear forces under the similarity renormalization group Physics Letters B |
| title | 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_short | Tracing the evolution of nuclear forces under the similarity renormalization group |
| title_sort | tracing the evolution of nuclear forces under the similarity renormalization group |
| url | http://www.sciencedirect.com/science/article/pii/S0370269317308237 |
| work_keys_str_mv | AT calvinwjohnson tracingtheevolutionofnuclearforcesunderthesimilarityrenormalizationgroup |