Infrared length scale and extrapolations for the nocore shell model
Abstract
In this paper, we precisely determine the infrared (IR) length scale of the nocore shell model (NCSM). In the NCSM, the Abody Hilbert space is truncated by the total energy, and the IR length can be determined by equating the intrinsic kinetic energy of A nucleons in the NCSM space to that of A nucleons in a 3(A1)dimensional hyperradial well with a Dirichlet boundary condition for the hyper radius. We demonstrate that this procedure indeed yields a very precise IR length by performing largescale NCSM calculations for ^{6}Li. We apply our result and perform accurate IR extrapolations for bound states of ^{4}He, ^{6}He, ^{6}Li, and ^{7}Li. Finally, we also attempt to extrapolate NCSM results for ^{10}B and ^{16}O with bare interactions from chiral effective field theory over tens of MeV.
 Authors:

 Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division
 Chalmers Univ. of Technology, Goteborg (Sweden). Dept. of Fundamental Physics; Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division
 Chalmers Univ. of Technology, Goteborg (Sweden). Dept. of Fundamental Physics
 Publication Date:
 Research Org.:
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Nuclear Physics (NP); Swedish Foundation for International Cooperation in Research and Higher Education; European Research Council (ERC)
 Contributing Org.:
 Univ. of Tennessee, Knoxville, TN (United States); Chalmers Univ. of Technology, Goteborg (Sweden)
 OSTI Identifier:
 1324134
 Alternate Identifier(s):
 OSTI ID: 1183789
 Grant/Contract Number:
 AC0500OR22725; FG0296ER40963; SC0008499; STINT, IG20125158; 240603; DEFG0296ER40963
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Physical Review. C, Nuclear Physics
 Additional Journal Information:
 Journal Volume: 91; Journal Issue: 6; Journal ID: ISSN 05562813
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Wendt, K. A., Forssén, C., Papenbrock, T., and Sääf, D. Infrared length scale and extrapolations for the nocore shell model. United States: N. p., 2015.
Web. doi:10.1103/PhysRevC.91.061301.
Wendt, K. A., Forssén, C., Papenbrock, T., & Sääf, D. Infrared length scale and extrapolations for the nocore shell model. United States. doi:10.1103/PhysRevC.91.061301.
Wendt, K. A., Forssén, C., Papenbrock, T., and Sääf, D. Wed .
"Infrared length scale and extrapolations for the nocore shell model". United States. doi:10.1103/PhysRevC.91.061301. https://www.osti.gov/servlets/purl/1324134.
@article{osti_1324134,
title = {Infrared length scale and extrapolations for the nocore shell model},
author = {Wendt, K. A. and Forssén, C. and Papenbrock, T. and Sääf, D.},
abstractNote = {In this paper, we precisely determine the infrared (IR) length scale of the nocore shell model (NCSM). In the NCSM, the Abody Hilbert space is truncated by the total energy, and the IR length can be determined by equating the intrinsic kinetic energy of A nucleons in the NCSM space to that of A nucleons in a 3(A1)dimensional hyperradial well with a Dirichlet boundary condition for the hyper radius. We demonstrate that this procedure indeed yields a very precise IR length by performing largescale NCSM calculations for 6Li. We apply our result and perform accurate IR extrapolations for bound states of 4He, 6He, 6Li, and 7Li. Finally, we also attempt to extrapolate NCSM results for 10B and 16O with bare interactions from chiral effective field theory over tens of MeV.},
doi = {10.1103/PhysRevC.91.061301},
journal = {Physical Review. C, Nuclear Physics},
issn = {05562813},
number = 6,
volume = 91,
place = {United States},
year = {2015},
month = {6}
}
Web of Science
Works referenced in this record:
Nocore shell model in an effectivefieldtheory framework
journal, September 2007
 Stetcu, I.; Barrett, B. R.; van Kolck, U.
 Physics Letters B, Vol. 653, Issue 24
Ab initio coupledcluster approach to nuclear structure with modern nucleonnucleon interactions
journal, September 2010
 Hagen, G.; Papenbrock, T.; Dean, D. J.
 Physical Review C, Vol. 82, Issue 3
Evolving nuclear manybody forces with the similarity renormalization group
journal, March 2011
 Jurgenson, E. D.; Navrátil, P.; Furnstahl, R. J.
 Physical Review C, Vol. 83, Issue 3
Ultraviolet extrapolations in finite oscillator bases
journal, December 2014
 König, S.; Bogner, S. K.; Furnstahl, R. J.
 Physical Review C, Vol. 90, Issue 6
Convergence properties of ab initio calculations of light nuclei in a harmonic oscillator basis
journal, November 2012
 Coon, S. A.; Avetian, M. I.; Kruse, M. K. G.
 Physical Review C, Vol. 86, Issue 5
Corrections to nuclear energies and radii in finite oscillator spaces
journal, September 2012
 Furnstahl, R. J.; Hagen, G.; Papenbrock, T.
 Physical Review C, Vol. 86, Issue 3
Systematic expansion for infrared oscillator basis extrapolations
journal, April 2014
 Furnstahl, R. J.; More, S. N.; Papenbrock, T.
 Physical Review C, Vol. 89, Issue 4
Universal properties of infrared oscillator basis extrapolations
journal, April 2013
 More, S. N.; Ekström, A.; Furnstahl, R. J.
 Physical Review C, Vol. 87, Issue 4
Ab initio GorkovGreen's function calculations of openshell nuclei
journal, January 2013
 Somà, V.; Barbieri, C.; Duguet, T.
 Physical Review C, Vol. 87, Issue 1
Structure of $p$ shell nuclei using threenucleon interactions evolved with the similarity renormalization group
journal, May 2013
 Jurgenson, E. D.; Maris, P.; Furnstahl, R. J.
 Physical Review C, Vol. 87, Issue 5
Microscopic description of translationally invariant core $+\phantom{\rule{0.16em}{0ex}}N+N$ overlap functions
journal, January 2014
 Sääf, D.; Forssén, C.
 Physical Review C, Vol. 89, Issue 1
Evolved chiral $NN+3N$ Hamiltonians for ab initio nuclear structure calculations
journal, August 2014
 Roth, Robert; Calci, Angelo; Langhammer, Joachim
 Physical Review C, Vol. 90, Issue 2
Infrared extrapolations for atomic nuclei
journal, February 2015
 Furnstahl, R. J.; Hagen, G.; Papenbrock, T.
 Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 3
Selfconsistent Green's function method for nuclei and nuclear matter
journal, April 2004
 Dickhoff, W. H.; Barbieri, C.
 Progress in Particle and Nuclear Physics, Vol. 52, Issue 2
Coupledcluster approach to nuclear physics
journal, May 2004
 Dean, D. J.; HjorthJensen, M.
 Physical Review C, Vol. 69, Issue 5
MediumMass Nuclei from Chiral NucleonNucleon Interactions
journal, August 2008
 Hagen, G.; Papenbrock, T.; Dean, D. J.
 Physical Review Letters, Vol. 101, Issue 9
InMedium Similarity Renormalization Group For Nuclei
journal, June 2011
 Tsukiyama, K.; Bogner, S. K.; Schwenk, A.
 Physical Review Letters, Vol. 106, Issue 22
Coupledcluster computations of atomic nuclei
journal, September 2014
 Hagen, G.; Papenbrock, T.; HjorthJensen, M.
 Reports on Progress in Physics, Vol. 77, Issue 9
Inmedium similarity renormalization group with chiral two plus threenucleon interactions
journal, March 2013
 Hergert, H.; Bogner, S. K.; Binder, S.
 Physical Review C, Vol. 87, Issue 3
Ab initio path to heavy nuclei
journal, September 2014
 Binder, Sven; Langhammer, Joachim; Calci, Angelo
 Physics Letters B, Vol. 736
Recent developments in nocore shellmodel calculations
journal, May 2009
 Navrátil, Petr; Quaglioni, Sofia; Stetcu, Ionel
 Journal of Physics G: Nuclear and Particle Physics, Vol. 36, Issue 8
Ab initio no core shell model
journal, March 2013
 Barrett, Bruce R.; Navrátil, Petr; Vary, James P.
 Progress in Particle and Nuclear Physics, Vol. 69
Largebasis ab initio nocore shell model and its application to ${}^{12}\mathbf{C}$
journal, October 2000
 Navrátil, P.; Vary, J. P.; Barrett, B. R.
 Physical Review C, Vol. 62, Issue 5
Large basis ab initio shell model investigation of ${}^{9}\mathrm{Be}$ and ${}^{11}\mathrm{Be}$
journal, April 2005
 Forssén, C.; Navrátil, P.; Ormand, W. E.
 Physical Review C, Vol. 71, Issue 4
Ab Initio ManyBody Calculations of $n\mathrm{\text{\u2212}}{}^{3}\mathrm{H}$ , $n\mathrm{\text{\u2212}}{}^{4}\mathrm{He}$ , $p\mathrm{\text{\u2212}}{}^{3,4}\mathrm{He}$ , and $n\mathrm{\text{\u2212}}{}^{10}\mathrm{Be}$ Scattering
journal, August 2008
 Quaglioni, Sofia; Navrátil, Petr
 Physical Review Letters, Vol. 101, Issue 9
Ab Initio Study of ${}^{40}\mathrm{Ca}$ with an ImportanceTruncated NoCore Shell Model
journal, August 2007
 Roth, R.; Navrátil, P.
 Physical Review Letters, Vol. 99, Issue 9
Ab initio symplectic nocore shell model
journal, September 2008
 Dytrych, T.; Sviratcheva, K. D.; Draayer, J. P.
 Journal of Physics G: Nuclear and Particle Physics, Vol. 35, Issue 12
Ab initio nocore full configuration calculations of light nuclei
journal, January 2009
 Maris, P.; Vary, J. P.; Shirokov, A. M.
 Physical Review C, Vol. 79, Issue 1
Factorization in largescale manybody calculations
journal, December 2013
 Johnson, Calvin W.; Ormand, W. Erich; Krastev, Plamen G.
 Computer Physics Communications, Vol. 184, Issue 12
Volume dependence of the energy spectrum in massive quantum field theories: I. Stable particle states
journal, June 1986
 Lüscher, M.
 Communications in Mathematical Physics, Vol. 104, Issue 2
Volume Dependence of Bound States with Angular Momentum
journal, September 2011
 König, Sebastian; Lee, Dean; Hammer, H. W.
 Physical Review Letters, Vol. 107, Issue 11
Nonrelativistic bound states in a finite volume
journal, June 2012
 König, Sebastian; Lee, Dean; Hammer, H. W.
 Annals of Physics, Vol. 327, Issue 6
Effective field theory for bound state reflection
journal, April 2013
 Pine, Michelle; Lee, Dean
 Annals of Physics, Vol. 331
Twonucleon systems in a finite volume: Quantization conditions
journal, August 2013
 Briceño, Raúl; Davoudi, Zohreh; Luu, Thomas
 Physical Review D, Vol. 88, Issue 3
Twonucleon systems in a finite volume. II. ${}^{3}S_{1}\mathrm{\text{\u2212}}{}^{3}D_{1}$ coupled channels and the deuteron
journal, December 2013
 Briceño, Raúl A.; Davoudi, Zohreh; Luu, Thomas C.
 Physical Review D, Vol. 88, Issue 11
Construction of Hyperspherical Functions Symmetrized with Respect to the Orthogonal and the Symmetric Groups
journal, May 1997
 Barnea, Nir; Novoselsky, Akiva
 Annals of Physics, Vol. 256, Issue 2
Microscopic Calculation of SixBody Inelastic Reactions with Complete Final State Interaction: Photoabsorption of $\text{\hspace{0.17em}}{\text{\hspace{0.17em}\ufe00}}^{6}\mathrm{H}\mathrm{e}$ and $\text{\hspace{0.17em}}{\text{\hspace{0.17em}\ufe00}}^{6}\mathrm{L}\mathrm{i}$
journal, July 2002
 Bacca, Sonia; Marchisio, Mario Andrea; Barnea, Nir
 Physical Review Letters, Vol. 89, Issue 5
Optimized Chiral NucleonNucleon Interaction at NexttoNexttoLeading Order
journal, May 2013
 Ekström, A.; Baardsen, G.; Forssén, C.
 Physical Review Letters, Vol. 110, Issue 19
Works referencing / citing this record:
Preprocessing the nuclear manybody problem: Importance truncation versus tensor factorization techniques
journal, June 2019
 Tichai, A.; Ripoche, J.; Duguet, T.
 The European Physical Journal A, Vol. 55, Issue 6