Nuclear physics without high-momentum potentials: Constructing the nuclear effective interaction directly from scattering observables

Nuclear physics without high-momentum potentials: Constructing the nuclear effective interaction directly from scattering observables

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 Hilber...

Full description

Bibliographic Details
Main Authors: K.S. McElvain, W.C. Haxton
Format: Article
Language:English
Published: Elsevier 2019-10-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269319305945
id doaj-9dae3f6df040498587c222dedae09750
record_format Article
spelling doaj-9dae3f6df040498587c222dedae097502020-11-25T01:32:27ZengElsevierPhysics Letters B0370-26932019-10-01797Nuclear physics without high-momentum potentials: Constructing the nuclear effective interaction directly from scattering observablesK.S. McElvain0W.C. Haxton1Department of Physics, University of California, Berkeley, CA, USA; Lawrence Berkeley National Laboratory, Berkeley, CA, USA; Corresponding author.Department of Physics, University of California, Berkeley, CA, USA; Lawrence Berkeley National Laboratory, Berkeley, CA, USAThe 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. Keywords: Effective theory, Nucleon-nucleon interaction, Phase shiftshttp://www.sciencedirect.com/science/article/pii/S0370269319305945
collection DOAJ
language English
format Article
sources DOAJ
author K.S. McElvain
W.C. Haxton
spellingShingle K.S. McElvain
W.C. Haxton
Nuclear physics without high-momentum potentials: Constructing the nuclear effective interaction directly from scattering observables
Physics Letters B
author_facet K.S. McElvain
W.C. Haxton
author_sort K.S. McElvain
title Nuclear physics without high-momentum potentials: Constructing the nuclear effective interaction directly from scattering observables
title_short Nuclear physics without high-momentum potentials: Constructing the nuclear effective interaction directly from scattering observables
title_full Nuclear physics without high-momentum potentials: Constructing the nuclear effective interaction directly from scattering observables
title_fullStr Nuclear physics without high-momentum potentials: Constructing the nuclear effective interaction directly from scattering observables
title_full_unstemmed Nuclear physics without high-momentum potentials: Constructing the nuclear effective interaction directly from scattering observables
title_sort nuclear physics without high-momentum potentials: constructing the nuclear effective interaction directly from scattering observables
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2019-10-01
description 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. Keywords: Effective theory, Nucleon-nucleon interaction, Phase shifts
url http://www.sciencedirect.com/science/article/pii/S0370269319305945
work_keys_str_mv AT ksmcelvain nuclearphysicswithouthighmomentumpotentialsconstructingthenucleareffectiveinteractiondirectlyfromscatteringobservables
AT wchaxton nuclearphysicswithouthighmomentumpotentialsconstructingthenucleareffectiveinteractiondirectlyfromscatteringobservables
_version_ 1725082071803625472

Similar Items