Model-independent low momentum nucleon interaction from phase shift equivalence
| dc.creator | Bogner, S. K. | |
| dc.creator | Kuo, T. T. S. | |
| dc.creator | Schwenk, A. | |
| dc.date | 2003-05-13 | |
| dc.date.accessioned | 2026-07-07T10:30:35Z | |
| dc.date.available | 2026-07-07T10:30:35Z | |
| dc.description | We present detailed results for the model-independent low momentum nucleon-nucleon interaction V_{low k}. By introducing a cutoff in momentum space, we separate the Hilbert space into a low momentum and a high momentum part. The renormalization group is used to construct the effective interaction V_{low k} in the low momentum space, starting from various high precision potential models commonly used in nuclear many-body calculations. With a cutoff in the range of $Λ~ 2.1 fm^{-1}$, the new potential V_{low k} is independent of the input model, and reproduces the experimental phase shift data for corresponding laboratory energies below $E_{lab} ~ 350 MeV$, as well as the deuteron binding energy with similar accuracy as the realistic input potentials. The model independence of V_{low k} demonstrates that the physics of nucleons interacting at low momenta does not depend on details of the high momentum dynamics assumed in conventional potential models. V_{low k} does not have momentum components larger than the cutoff, and as a consequence is considerably softer than the high precision potentials. Therefore, when V_{low k} is used as microscopic input in the many-body problem, the high momentum effects in the particle-particle channel do not have to be addressed by performing a Brueckner ladder resummation or short-range correlation methods. By varying the cutoff, we study how the model independence of V_{low k} is reached in different partial waves. This provides numerical evidence for the separation of scales in the nuclear problem, and physical insight into the nature of the low momentum interaction. | |
| dc.description | 32 pages, 19 figures | |
| dc.identifier | https://arxiv.org/abs/nucl-th/0305035 | |
| dc.identifier | http://arxiv.org/abs/nucl-th/0305035 | |
| dc.identifier | Phys.Rept.386:1-27,2003 | |
| dc.identifier | doi:10.1016/j.physrep.2003.07.001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/178174 | |
| dc.subject | Nuclear Theory | |
| dc.title | Model-independent low momentum nucleon interaction from phase shift equivalence | |
| dc.type | text |