Fixed points of the SRG evolution and the on-shell limit of the nuclear force
| dc.contributor.author | Arriola E.R. | |
| dc.contributor.author | Szpigel S. | |
| dc.contributor.author | Timoteo V.S. | |
| dc.date.accessioned | 2024-03-13T00:52:47Z | |
| dc.date.available | 2024-03-13T00:52:47Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | © 2016 Elsevier Inc.We study the infrared limit of the similarity renormalization group (SRG) using a simple toy model for the nuclear force aiming to investigate the fixed points of the SRG evolution with both the Wilson and the Wegner generators. We show how a fully diagonal interaction at the similarity cutoff λ→0 may be obtained from the eigenvalues of the Hamiltonian and quantify the diagonalness by means of operator norms. While the fixed points for both generators are equivalent when no bound-states are allowed by the interaction, the differences arising from the presence of the Deuteron bound-state can be disentangled very clearly by analyzing the evolved interactions in the infrared limit λ→0 on a finite momentum grid. Another issue we investigate is the location on the diagonal of the Hamiltonian in momentum-space where the SRG evolution places the Deuteron bound-state eigenvalue once it reaches the fixed point. This finite momentum grid setup provides an alternative derivation of the celebrated trace identities, as a by product. The different effects due to either the Wilson or the Wegner generators on the binding energies of A=2,3,4 systems are investigated and related to the occurrence of a Tjon-line which emerges as the minimum of an avoided crossing between Eα=4Et−3Ed and Eα=2Et. All infrared features of the flow equations are illustrated using the toy model for the two-nucleon S-waves. | |
| dc.description.firstpage | 398 | |
| dc.description.lastpage | 436 | |
| dc.description.volume | 371 | |
| dc.identifier.doi | 10.1016/j.aop.2016.06.002 | |
| dc.identifier.issn | 0003-4916 | |
| dc.identifier.uri | https://dspace.mackenzie.br/handle/10899/35949 | |
| dc.relation.ispartof | Annals of Physics | |
| dc.rights | Acesso Restrito | |
| dc.subject.otherlanguage | Binding energies | |
| dc.subject.otherlanguage | Nuclear force | |
| dc.subject.otherlanguage | Similarity renormalization group | |
| dc.title | Fixed points of the SRG evolution and the on-shell limit of the nuclear force | |
| dc.type | Artigo | |
| local.scopus.citations | 10 | |
| local.scopus.eid | 2-s2.0-84975879145 | |
| local.scopus.updated | 2024-05-01 | |
| local.scopus.url | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84975879145&origin=inward |