Nuclear physics without high-momentum potentials: Constructing the nuclear effective interaction directly from scattering observables
Abstract
The traditional approach to nuclear physics encodes phase shift information in a nucleon-nucleon (NN) potential, producing a nucleon-level interaction that captures the sub-GeV consequences of QCD. A further reduction to the nuclear scale is needed to produce an effective interaction for soft Hilbert spaces, such as those employed in the shell model. Here we describe an alternative construction of the effective interaction that is simple and quite precise, proceeding from the QCD scale directly to the nuclear scale. This eliminates the need for constructing and renormalizing the high-momentum NN potential. Instead, continuum phase shifts and mixing angles are used directly at the nuclear scale. The method exploits the analytic continuity in energy of HOBET (Harmonic-Oscillator-Based Effective Theory) to connect bound states to continuum solutions at specific energies. The procedure is systematic, cutoff independent, and convergent, yielding keV accuracy at NNLO or N3LO, depending on the channel. Lepage plots are provided.
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1559062
- Alternate Identifier(s):
- OSTI ID: 1580933
- Grant/Contract Number:
- SC00046548; AC02-05CH11231; KB0301052; SC0015376
- Resource Type:
- Published Article
- Journal Name:
- Physics Letters. B
- Additional Journal Information:
- Journal Name: Physics Letters. B Journal Volume: 797 Journal Issue: C; Journal ID: ISSN 0370-2693
- Publisher:
- Elsevier
- Country of Publication:
- Netherlands
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Effective theory; Nucleon-nucleon interaction; Phase shifts
Citation Formats
McElvain, K. S., and Haxton, W. C. Nuclear physics without high-momentum potentials: Constructing the nuclear effective interaction directly from scattering observables. Netherlands: N. p., 2019.
Web. doi:10.1016/j.physletb.2019.134880.
McElvain, K. S., & Haxton, W. C. Nuclear physics without high-momentum potentials: Constructing the nuclear effective interaction directly from scattering observables. Netherlands. https://doi.org/10.1016/j.physletb.2019.134880
McElvain, K. S., and Haxton, W. C. Tue .
"Nuclear physics without high-momentum potentials: Constructing the nuclear effective interaction directly from scattering observables". Netherlands. https://doi.org/10.1016/j.physletb.2019.134880.
@article{osti_1559062,
title = {Nuclear physics without high-momentum potentials: Constructing the nuclear effective interaction directly from scattering observables},
author = {McElvain, K. S. and Haxton, W. C.},
abstractNote = {The traditional approach to nuclear physics encodes phase shift information in a nucleon-nucleon (NN) potential, producing a nucleon-level interaction that captures the sub-GeV consequences of QCD. A further reduction to the nuclear scale is needed to produce an effective interaction for soft Hilbert spaces, such as those employed in the shell model. Here we describe an alternative construction of the effective interaction that is simple and quite precise, proceeding from the QCD scale directly to the nuclear scale. This eliminates the need for constructing and renormalizing the high-momentum NN potential. Instead, continuum phase shifts and mixing angles are used directly at the nuclear scale. The method exploits the analytic continuity in energy of HOBET (Harmonic-Oscillator-Based Effective Theory) to connect bound states to continuum solutions at specific energies. The procedure is systematic, cutoff independent, and convergent, yielding keV accuracy at NNLO or N3LO, depending on the channel. Lepage plots are provided.},
doi = {10.1016/j.physletb.2019.134880},
journal = {Physics Letters. B},
number = C,
volume = 797,
place = {Netherlands},
year = {Tue Oct 01 00:00:00 EDT 2019},
month = {Tue Oct 01 00:00:00 EDT 2019}
}
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