Properties of Nuclei up to A=16 using Local Chiral Interactions

Lonardoni, Diego; Carlson, Joseph; Gandolfi, Stefano; Lynn, J. E.; Schmidt, K. E.; Schwenk, A.; Wang, X. B.

doi:10.1103/PhysRevLett.120.122502

Title: Properties of Nuclei up to $A = 16$ using Local Chiral Interactions

Journal Article · Thu Mar 22 00:00:00 EDT 2018 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.120.122502· OSTI ID:1432621

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^[2]; Lynn, J. E. ^[3]; Schmidt, K. E. ^[4]; Schwenk, A. ^[5]; Wang, X. B. ^[6]

Michigan State Univ., East Lansing, MI (United States). Facility for Rare Isotope Beams; Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
Technical Univ. of Darmstadt (Germany). Inst. of Nuclear Physics; GSI Helmholtz Centre for Heavy Ion Research, Darmstadt (Germandy). ExtreMe Matter Inst. (EMMI)
Arizona State Univ., Tempe, AZ (United States). Dept. of Physics
Technical Univ. of Darmstadt (Germany). Inst. of Nuclear Physics; GSI Helmholtz Centre for Heavy Ion Research, Darmstadt (Germandy). ExtreMe Matter Inst. (EMMI); Max-Planck Inst. for Nuclear Physics, Heidelberg (Germany)
Huzhou Univ. (China). School of Science

Here, we report accurate quantum Monte Carlo calculations of nuclei up to A = 16 based on local chiral two- and three-nucleon interactions up to next-to-next-to-leading order. We examine the theoretical uncertainties associated with the chiral expansion and the cutoff in the theory, as well as the associated operator choices in the three-nucleon interactions. While in light nuclei the cutoff variation and systematic uncertainties are rather small, in ¹⁶O these can be significant for large coordinate-space cutoffs. Overall, we show that chiral interactions constructed to reproduce properties of very light systems and nucleon-nucleon scattering give an excellent description of binding energies, charge radii, and form factors for all these nuclei, including open-shell systems in A = 6 and 12.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Office of Science (SC). Nuclear Physics (NP) (SC-26); European Research Council (ERC); German Federal Ministry of Education and Research (BMBF); National Science Foundation (NSF); National Natural Science Foundation of China (NSFC); Technical Univ. of Darmstadt (Germany)

Grant/Contract Number:: AC52-06NA25396; SC0013617; 307986; 05P15RDFN1; PHY-1404405; 11505056; U1732138; 11605054; AC02- 05CH11231

OSTI ID:: 1432621

Alternate ID(s):: OSTI ID: 1427886

Report Number(s):: LA-UR-17-28568; PRLTAO; TRN: US1802529

Journal Information:: Physical Review Letters, Vol. 120, Issue 12; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 63 works

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References (65)

Quantum Monte Carlo calculations of nuclei with $A <~ 7$ Pudliner, B. S.; Pandharipande, V. R.; Carlson, J. Physical Review C, Vol. 56, Issue 4 https://doi.org/10.1103/PhysRevC.56.1720	journal	October 1997
Ab initio no core shell model Barrett, Bruce R.; Navrátil, Petr; Vary, James P. Progress in Particle and Nuclear Physics, Vol. 69 https://doi.org/10.1016/j.ppnp.2012.10.003	journal	March 2013
Nuclear Forces and Their Impact on Neutron-Rich Nuclei and Neutron-Rich Matter Hebeler, K.; Holt, J. D.; Menéndez, J. Annual Review of Nuclear and Particle Science, Vol. 65, Issue 1 https://doi.org/10.1146/annurev-nucl-102313-025446	journal	October 2015
A Massive Pulsar in a Compact Relativistic Binary Antoniadis, J.; Freire, P. C. C.; Wex, N. Science, Vol. 340, Issue 6131 https://doi.org/10.1126/science.1233232	journal	April 2013
Maximum mass and radius of neutron stars, and the nuclear symmetry energy Gandolfi, S.; Carlson, J.; Reddy, Sanjay Physical Review C, Vol. 85, Issue 3 https://doi.org/10.1103/PhysRevC.85.032801	journal	March 2012
Local chiral effective field theory interactions and quantum Monte Carlo applications Gezerlis, A.; Tews, I.; Epelbaum, E. Physical Review C, Vol. 90, Issue 5 https://doi.org/10.1103/PhysRevC.90.054323	journal	November 2014
Properties of trapped neutrons interacting with realistic nuclear Hamiltonians Maris, Pieter; Vary, James P.; Gandolfi, S. Physical Review C, Vol. 87, Issue 5 https://doi.org/10.1103/PhysRevC.87.054318	journal	May 2013
From the lightest nuclei to the equation of state of asymmetric nuclear matter with realistic nuclear interactions Gandolfi, S.; Lovato, A.; Carlson, J. Physical Review C, Vol. 90, Issue 6 https://doi.org/10.1103/PhysRevC.90.061306	journal	December 2014
Medium-Mass Nuclei with Normal-Ordered Chiral $N N + 3 N$ Interactions Roth, Robert; Binder, Sven; Vobig, Klaus Physical Review Letters, Vol. 109, Issue 5 https://doi.org/10.1103/PhysRevLett.109.052501	journal	July 2012
Elastische Elektronenstreuung an14N,15N,16O und18O bei kleiner Impuls�bertragung Sch�tz, Wolfgang Zeitschrift f�r Physik A Atoms and Nuclei, Vol. 273, Issue 1 https://doi.org/10.1007/BF01435760	journal	March 1975
Light-Nuclei Spectra from Chiral Dynamics Piarulli, M.; Baroni, A.; Girlanda, L. Physical Review Letters, Vol. 120, Issue 5 https://doi.org/10.1103/PhysRevLett.120.052503	journal	February 2018
Saturation with chiral interactions and consequences for finite nuclei Simonis, J.; Stroberg, S. R.; Hebeler, K. Physical Review C, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRevC.96.014303	journal	July 2017
Charge Form Factor and Sum Rules of Electromagnetic Response Functions in ${}^{12}C$ Lovato, A.; Gandolfi, S.; Butler, Ralph Physical Review Letters, Vol. 111, Issue 9 https://doi.org/10.1103/PhysRevLett.111.092501	journal	August 2013
Electromagnetic Response of ${}^{12}C$ : A First-Principles Calculation Lovato, A.; Gandolfi, S.; Carlson, J. Physical Review Letters, Vol. 117, Issue 8 https://doi.org/10.1103/PhysRevLett.117.082501	journal	August 2016
Microscopic Calculation of the Inclusive Electron Scattering Structure Function in ${}^{16}O$ Mihaila, Bogdan; Heisenberg, Jochen H. Physical Review Letters, Vol. 84, Issue 7 https://doi.org/10.1103/PhysRevLett.84.1403	journal	February 2000
Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions Lynn, J. E.; Tews, I.; Carlson, J. Physical Review C, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRevC.96.054007	journal	November 2017
Analyzing the Fierz rearrangement freedom for local chiral two-nucleon potentials Huth, L.; Tews, I.; Lynn, J. E. Physical Review C, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRevC.96.054003	journal	November 2017
Local chiral potentials with $Δ$ -intermediate states and the structure of light nuclei Piarulli, M.; Girlanda, L.; Schiavilla, R. Physical Review C, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevC.94.054007	journal	November 2016
Weinberg eigenvalues for chiral nucleon-nucleon interactions Hoppe, J.; Drischler, C.; Furnstahl, R. J. Physical Review C, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRevC.96.054002	journal	November 2017
Estimates and power counting in uniform nuclear matter with softened interactions Dyhdalo, A.; Bogner, S. K.; Furnstahl, R. J. Physical Review C, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRevC.96.054005	journal	November 2017
Ab initio path to heavy nuclei Binder, Sven; Langhammer, Joachim; Calci, Angelo Physics Letters B, Vol. 736 https://doi.org/10.1016/j.physletb.2014.07.010	journal	September 2014
Coupled-cluster computations of atomic nuclei Hagen, G.; Papenbrock, T.; Hjorth-Jensen, M. Reports on Progress in Physics, Vol. 77, Issue 9 https://doi.org/10.1088/0034-4885/77/9/096302	journal	September 2014
Precise nuclear radii from electron scattering Sick, Ingo Physics Letters B, Vol. 116, Issue 4 https://doi.org/10.1016/0370-2693(82)90327-6	journal	October 1982
Evolution of Shell Structure in Neutron-Rich Calcium Isotopes Hagen, G.; Hjorth-Jensen, M.; Jansen, G. R. Physical Review Letters, Vol. 109, Issue 3 https://doi.org/10.1103/PhysRevLett.109.032502	journal	July 2012
Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including $Δ$ resonances Piarulli, M.; Girlanda, L.; Schiavilla, R. Physical Review C, Vol. 91, Issue 2 https://doi.org/10.1103/PhysRevC.91.024003	journal	February 2015
Chiral Three-Nucleon Interactions in Light Nuclei, Neutron- $α$ Scattering, and Neutron Matter Lynn, J. E.; Tews, I.; Carlson, J. Physical Review Letters, Vol. 116, Issue 6 https://doi.org/10.1103/PhysRevLett.116.062501	journal	February 2016
A quantum Monte Carlo method for nucleon systems Schmidt, K. E.; Fantoni, S. Physics Letters B, Vol. 446, Issue 2 https://doi.org/10.1016/S0370-2693(98)01522-6	journal	January 1999
Chiral effective field theory and nuclear forces Machleidt, R.; Entem, D. R. Physics Reports, Vol. 503, Issue 1 https://doi.org/10.1016/j.physrep.2011.02.001	journal	June 2011
Ab initio and phenomenological studies of the static response of neutron matter Buraczynski, Mateusz; Gezerlis, Alexandros Physical Review C, Vol. 95, Issue 4 https://doi.org/10.1103/PhysRevC.95.044309	journal	April 2017
Coupled-cluster theory for three-body Hamiltonians Hagen, G.; Papenbrock, T.; Dean, D. J. Physical Review C, Vol. 76, Issue 3 https://doi.org/10.1103/PhysRevC.76.034302	journal	September 2007
Nuclear Charge Radius of ${}^{8}{He}$ Mueller, P.; Sulai, I. A.; Villari, A. C. C. Physical Review Letters, Vol. 99, Issue 25 https://doi.org/10.1103/PhysRevLett.99.252501	journal	December 2007
Static Response of Neutron Matter Buraczynski, Mateusz; Gezerlis, Alexandros Physical Review Letters, Vol. 116, Issue 15 https://doi.org/10.1103/PhysRevLett.116.152501	journal	April 2016
Nuclear charge-density-distribution parameters from elastic electron scattering De Vries, H.; De Jager, C. W.; De Vries, C. Atomic Data and Nuclear Data Tables, Vol. 36, Issue 3 https://doi.org/10.1016/0092-640X(87)90013-1	journal	May 1987
Quantum Monte Carlo Method using Phase-Free Random Walks with Slater Determinants Zhang, Shiwei; Krakauer, Henry Physical Review Letters, Vol. 90, Issue 13 https://doi.org/10.1103/PhysRevLett.90.136401	journal	April 2003
Modern theory of nuclear forces Epelbaum, E.; Hammer, H. -W.; Meißner, Ulf-G. Reviews of Modern Physics, Vol. 81, Issue 4 https://doi.org/10.1103/RevModPhys.81.1773	journal	December 2009
$Δ$ isobars and nuclear saturation Ekström, A.; Hagen, G.; Morris, T. D. Physical Review C, Vol. 97, Issue 2 https://doi.org/10.1103/PhysRevC.97.024332	journal	February 2018
Cold Neutrons Trapped in External Fields Gandolfi, S.; Carlson, J.; Pieper, Steven C. Physical Review Letters, Vol. 106, Issue 1 https://doi.org/10.1103/PhysRevLett.106.012501	journal	January 2011
Lattice effective field theory for medium-mass nuclei Lähde, Timo A.; Epelbaum, Evgeny; Krebs, Hermann Physics Letters B, Vol. 732 https://doi.org/10.1016/j.physletb.2014.03.023	journal	May 2014
The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei Hergert, H.; Bogner, S. K.; Morris, T. D. Physics Reports, Vol. 621 https://doi.org/10.1016/j.physrep.2015.12.007	journal	March 2016
Three-nucleon forces from chiral effective field theory Epelbaum, E.; Nogga, A.; Glöckle, W. Physical Review C, Vol. 66, Issue 6 https://doi.org/10.1103/PhysRevC.66.064001	journal	December 2002
Generalized Lanczos algorithm for variational quantum Monte Carlo Sorella, Sandro Physical Review B, Vol. 64, Issue 2 https://doi.org/10.1103/PhysRevB.64.024512	journal	June 2001
Elastic electron scattering from 12C and 16O Sick, I.; McCarthy, J. S. Nuclear Physics A, Vol. 150, Issue 3 https://doi.org/10.1016/0375-9474(70)90423-9	journal	July 1970
Neutron matter at zero temperature with an auxiliary field diffusion Monte Carlo method Sarsa, A.; Fantoni, S.; Schmidt, K. E. Physical Review C, Vol. 68, Issue 2 https://doi.org/10.1103/PhysRevC.68.024308	journal	August 2003
Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order Epelbaum, E.; Krebs, H.; Meißner, U. -G. The European Physical Journal A, Vol. 51, Issue 5 https://doi.org/10.1140/epja/i2015-15053-8	journal	May 2015
Accurate nuclear radii and binding energies from a chiral interaction Ekström, A.; Jansen, G. R.; Wendt, K. A. Physical Review C, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevC.91.051301	journal	May 2015
Variational calculation of the ground state of closed-shell nuclei up to $A = 40$ Lonardoni, D.; Lovato, A.; Pieper, Steven C. Physical Review C, Vol. 96, Issue 2 https://doi.org/10.1103/PhysRevC.96.024326	journal	August 2017
A two-solar-mass neutron star measured using Shapiro delay Demorest, P. B.; Pennucci, T.; Ransom, S. M. Nature, Vol. 467, Issue 7319 https://doi.org/10.1038/nature09466	journal	October 2010
Quantum Monte Carlo calculations of neutron matter with chiral three-body forces Tews, I.; Gandolfi, S.; Gezerlis, A. Physical Review C, Vol. 93, Issue 2 https://doi.org/10.1103/PhysRevC.93.024305	journal	February 2016
Quantum Monte Carlo methods for nuclear physics Carlson, J.; Gandolfi, S.; Pederiva, F. Reviews of Modern Physics, Vol. 87, Issue 3 https://doi.org/10.1103/RevModPhys.87.1067	journal	September 2015
Charge radii and ground state structure of lithium isotopes: Experiment and theory reexamined Nörtershäuser, W.; Neff, T.; Sánchez, R. Physical Review C, Vol. 84, Issue 2 https://doi.org/10.1103/PhysRevC.84.024307	journal	August 2011
Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions Gezerlis, A.; Tews, I.; Epelbaum, E. Physical Review Letters, Vol. 111, Issue 3 https://doi.org/10.1103/PhysRevLett.111.032501	journal	July 2013
Coupled-cluster theory for three-body Hamiltonians Hagen, G.; Papenbrock, T.; Dean, D. J. arXiv https://doi.org/10.48550/arxiv.0704.2854	text	January 2007
Modern Theory of Nuclear Forces Epelbaum, Evgeny; Hammer, Hans-Werner; Meißner, Ulf-G. arXiv https://doi.org/10.48550/arxiv.0811.1338	text	January 2008
Chiral effective field theory and nuclear forces Machleidt, R.; Entem, D. R. arXiv https://doi.org/10.48550/arxiv.1105.2919	text	January 2011
Evolution of shell structure in neutron-rich calcium isotopes Hagen, G.; Hjorth-Jensen, M.; Jansen, G. R. arXiv https://doi.org/10.48550/arxiv.1204.3612	text	January 2012
Properties of trapped neutrons interacting with realistic nuclear Hamiltonians Maris, Pieter; Vary, James P.; Gandolfi, S. arXiv https://doi.org/10.48550/arxiv.1302.2089	text	January 2013
Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions Gezerlis, A.; Tews, I.; Epelbaum, E. arXiv https://doi.org/10.48550/arxiv.1303.6243	text	January 2013
A Massive Pulsar in a Compact Relativistic Binary Antoniadis, John; Freire, Paulo C. C.; Wex, Norbert arXiv https://doi.org/10.48550/arxiv.1304.6875	text	January 2013
Lattice Effective Field Theory for Medium-Mass Nuclei Lähde, Timo A.; Epelbaum, Evgeny; Krebs, Hermann arXiv https://doi.org/10.48550/arxiv.1311.0477	text	January 2013
Coupled-cluster computations of atomic nuclei Hagen, G.; Papenbrock, T.; Hjorth-Jensen, M. arXiv https://doi.org/10.48550/arxiv.1312.7872	text	January 2013
The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei Hergert, H.; Bogner, S. K.; Morris, T. D. arXiv https://doi.org/10.48550/arxiv.1512.06956	text	January 2015
Light-nuclei spectra from chiral dynamics Piarulli, M.; Baroni, A.; Girlanda, L. arXiv https://doi.org/10.48550/arxiv.1707.02883	text	January 2017
Generalized Lanczos Algorithm for Variational Quantum Monte Carlo Sorella, S. arXiv https://doi.org/10.48550/arxiv.cond-mat/0009149	text	January 2000
Quantum Monte Carlo method using phase-free random walks with Slater determinants Zhang, Shiwei; Krakauer, Henry arXiv https://doi.org/10.48550/arxiv.cond-mat/0208340	text	January 2002
Three-Nucleon Forces from Chiral Effective Field Theory Epelbaum, E.; Nogga, A.; Glöckle, W. arXiv https://doi.org/10.48550/arxiv.nucl-th/0208023	text	January 2002

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