Shell-model coupled-cluster method for open-shell nuclei

Sun, Zhonghao; Morris, Titus D.; Hagen, Gaute; Jansen, Gustav R.; Papenbrock, Thomas

doi:10.1103/PhysRevC.98.054320

Title: Shell-model coupled-cluster method for open-shell nuclei

Journal Article · Wed Nov 28 00:00:00 EST 2018 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.98.054320· OSTI ID:1546557

Sun, Zhonghao ^[1];

^[1];

^[2];

^[1]

Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

An approach to derive effective shell-model interactions from microscopic nuclear forces is introduced here. The similarity transformed coupled-cluster Hamiltonian decouples the single-reference state of a closed-shell nucleus and provides us with a core for the shell model. We use a second similarity transformation to decouple a shell-model space from the excluded space. We show that the three-body terms induced by both similarity transformations are crucial for an accurate computation of ground and excited states. As a proof of principle we use a nucleon-nucleon interaction from chiral effective field theory, employ a ⁴He core, and compute low-lying states of ^6–8He and ^6–8Li in p-shell model spaces. Our conclusions agree with benchmarks from full configuration interaction.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-00OR22725; FG02- 96ER40963; DEFG02-96ER40963

OSTI ID:: 1546557

Alternate ID(s):: OSTI ID: 1483714

Journal Information:: Physical Review C, Vol. 98, Issue 5; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 14 works

Citation information provided by
Web of Science

References (76)

Q UANTUM M ONTE C ARLO C ALCULATIONS OF L IGHT N UCLEI Pieper, Steven C.; Wiringa, R. B. Annual Review of Nuclear and Particle Science, Vol. 51, Issue 1 https://doi.org/10.1146/annurev.nucl.51.101701.132506	journal	December 2001
Recent developments in no-core shell-model calculations Navrátil, Petr; Quaglioni, Sofia; Stetcu, Ionel Journal of Physics G: Nuclear and Particle Physics, Vol. 36, Issue 8 https://doi.org/10.1088/0954-3899/36/8/083101	journal	May 2009
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
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
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
Chiral two- and three-nucleon forces along medium-mass isotope chains Somà, V.; Cipollone, A.; Barbieri, C. Physical Review C, Vol. 89, Issue 6 https://doi.org/10.1103/PhysRevC.89.061301	journal	June 2014
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
Ab initio multireference in-medium similarity renormalization group calculations of even calcium and nickel isotopes Hergert, H.; Bogner, S. K.; Morris, T. D. Physical Review C, Vol. 90, Issue 4 https://doi.org/10.1103/PhysRevC.90.041302	journal	October 2014
Ground and excited states of doubly open-shell nuclei from ab initio valence-space Hamiltonians Stroberg, S. R.; Hergert, H.; Holt, J. D. Physical Review C, Vol. 93, Issue 5 https://doi.org/10.1103/PhysRevC.93.051301	journal	May 2016
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
Dawning of the $N = 32$ Shell Closure Seen through Precision Mass Measurements of Neutron-Rich Titanium Isotopes Leistenschneider, E.; Reiter, M. P.; Ayet San Andrés, S. Physical Review Letters, Vol. 120, Issue 6 https://doi.org/10.1103/PhysRevLett.120.062503	journal	February 2018
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
Structure of the Lightest Tin Isotopes Morris, T. D.; Simonis, J.; Stroberg, S. R. Physical Review Letters, Vol. 120, Issue 15 https://doi.org/10.1103/PhysRevLett.120.152503	journal	April 2018
Ab Initio Many-Body Calculations of $n − {}^{3}H$ , $n − {}^{4}{He}$ , $p − {}^{3, 4}{He}$ , and $n − {}^{10}{Be}$ Scattering Quaglioni, Sofia; Navrátil, Petr Physical Review Letters, Vol. 101, Issue 9 https://doi.org/10.1103/PhysRevLett.101.092501	journal	August 2008
Ab Initio Calculation of the Hoyle State Epelbaum, Evgeny; Krebs, Hermann; Lee, Dean Physical Review Letters, Vol. 106, Issue 19 https://doi.org/10.1103/PhysRevLett.106.192501	journal	May 2011
Ab initio alpha–alpha scattering Elhatisari, Serdar; Lee, Dean; Rupak, Gautam Nature, Vol. 528, Issue 7580 https://doi.org/10.1038/nature16067	journal	December 2015
Neutron and weak-charge distributions of the 48Ca nucleus Hagen, G.; Ekström, A.; Forssén, C. Nature Physics, Vol. 12, Issue 2 https://doi.org/10.1038/nphys3529	journal	November 2015
Structure of ${}^{78}{Ni}$ from First-Principles Computations Hagen, G.; Jansen, G. R.; Papenbrock, T. Physical Review Letters, Vol. 117, Issue 17 https://doi.org/10.1103/PhysRevLett.117.172501	journal	October 2016
Improved nuclear matter calculations from chiral low-momentum interactions Hebeler, K.; Bogner, S. K.; Furnstahl, R. J. Physical Review C, Vol. 83, Issue 3 https://doi.org/10.1103/PhysRevC.83.031301	journal	March 2011
Similarity-Transformed Chiral $N N + 3 N$ Interactions for the Ab Initio Description of ${}^{12}C$ and ${}^{16}O$ Roth, Robert; Langhammer, Joachim; Calci, Angelo Physical Review Letters, Vol. 107, Issue 7 https://doi.org/10.1103/PhysRevLett.107.072501	journal	August 2011
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
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
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
Model-independent low momentum nucleon interaction from phase shift equivalence Bogner, S. K.; Kuo, T. T. S.; Schwenk, A. Physics Reports, Vol. 386, Issue 1 https://doi.org/10.1016/j.physrep.2003.07.001	journal	October 2003
From low-momentum interactions to nuclear structure Bogner, S. K.; Furnstahl, R. J.; Schwenk, A. Progress in Particle and Nuclear Physics, Vol. 65, Issue 1 https://doi.org/10.1016/j.ppnp.2010.03.001	journal	July 2010
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
Self-consistent Green's function method for nuclei and nuclear matter Dickhoff, W. H.; Barbieri, C. Progress in Particle and Nuclear Physics, Vol. 52, Issue 2 https://doi.org/10.1016/j.ppnp.2004.02.038	journal	April 2004
Auxiliary Field Diffusion Monte Carlo Calculation of Nuclei with $A \leq 40$ with Tensor Interactions Gandolfi, S.; Pederiva, F.; Fantoni, S. Physical Review Letters, Vol. 99, Issue 2 https://doi.org/10.1103/PhysRevLett.99.022507	journal	July 2007
Lattice simulations for few- and many-body systems Lee, Dean Progress in Particle and Nuclear Physics, Vol. 63, Issue 1 https://doi.org/10.1016/j.ppnp.2008.12.001	journal	July 2009
Ab initio Gorkov-Green's function calculations of open-shell nuclei Somà, V.; Barbieri, C.; Duguet, T. Physical Review C, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevC.87.011303	journal	January 2013
Many-fermion theory in expS- (or coupled cluster) form Kümmel, H.; Lührmann, K. H.; Zabolitzky, J. G. Physics Reports, Vol. 36, Issue 1 https://doi.org/10.1016/0370-1573(78)90081-9	journal	February 1978
An overview of coupled cluster theory and its applications in physics Bishop, R. F. Theoretica Chimica Acta, Vol. 80, Issue 2-3 https://doi.org/10.1007/BF01119617	journal	January 1991
Coupled-cluster theory in quantum chemistry Bartlett, Rodney J.; Musiał, Monika Reviews of Modern Physics, Vol. 79, Issue 1 https://doi.org/10.1103/RevModPhys.79.291	journal	February 2007
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
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
Status of the Nuclear Shell Model Brown, B. A.; Wildenthal, B. H. Annual Review of Nuclear and Particle Science, Vol. 38, Issue 1 https://doi.org/10.1146/annurev.ns.38.120188.000333	journal	December 1988
The shell model as a unified view of nuclear structure Caurier, E.; Martínez-Pinedo, G.; Nowacki, F. Reviews of Modern Physics, Vol. 77, Issue 2 https://doi.org/10.1103/RevModPhys.77.427	journal	June 2005
New-generation Monte Carlo shell model for the K computer era Shimizu, Noritaka; Abe, Takashi; Tsunoda, Yusuke Progress of Theoretical and Experimental Physics, Vol. 2012, Issue 1 https://doi.org/10.1093/ptep/pts012	journal	January 2012
Realistic effective interactions for nuclear systems Hjorth-Jensen, Morten; Kuo, Thomas T. S.; Osnes, Eivind Physics Reports, Vol. 261, Issue 3-4 https://doi.org/10.1016/0370-1573(95)00012-6	journal	October 1995
Shell-model calculations and realistic effective interactions Coraggio, L.; Covello, A.; Gargano, A. Progress in Particle and Nuclear Physics, Vol. 62, Issue 1 https://doi.org/10.1016/j.ppnp.2008.06.001	journal	January 2009
A folded-diagram expansion of the model-space effective hamiltonian Kuo, T. T. S.; Lee, S. Y.; Ratcliff, K. F. Nuclear Physics A, Vol. 176, Issue 1 https://doi.org/10.1016/0375-9474(71)90731-7	journal	November 1971
Higher-order terms and the apparent non-convergence of the perturbation expansion for the effective interaction in finite nuclei Barrett, Bruce R.; Kirson, Michael W. Nuclear Physics A, Vol. 148, Issue 1 https://doi.org/10.1016/0375-9474(70)90617-2	journal	June 1970
Convergence Rate of Intermediate-State Summations in the Effective Shell-Model Interaction Vary, J. P.; Sauer, P. U.; Wong, C. W. Physical Review C, Vol. 7, Issue 5 https://doi.org/10.1103/PhysRevC.7.1776	journal	May 1973
Perturbation theory for the effective interaction in nuclei Schucan, Thomas H.; Weidenmüller, Hans A. Annals of Physics, Vol. 76, Issue 2 https://doi.org/10.1016/0003-4916(73)90044-4	journal	April 1973
Effective interaction for $pf$ -shell nuclei Honma, M.; Otsuka, T.; Brown, B. A. Physical Review C, Vol. 65, Issue 6 https://doi.org/10.1103/PhysRevC.65.061301	journal	May 2002
New “USD” Hamiltonians for the $sd$ shell Brown, B. Alex; Richter, W. A. Physical Review C, Vol. 74, Issue 3 https://doi.org/10.1103/PhysRevC.74.034315	journal	September 2006
Ab-initio shell model with a core Lisetskiy, A. F.; Barrett, B. R.; Kruse, M. K. G. Physical Review C, Vol. 78, Issue 4 https://doi.org/10.1103/PhysRevC.78.044302	journal	October 2008
Ab initio effective interactions for $s d$ -shell valence nucleons Dikmen, E.; Lisetskiy, A. F.; Barrett, B. R. Physical Review C, Vol. 91, Issue 6 https://doi.org/10.1103/PhysRevC.91.064301	journal	June 2015
Convergent Theory for Effective Interaction in Nuclei Suzuki, K.; Lee, S. Y. Progress of Theoretical Physics, Vol. 64, Issue 6 https://doi.org/10.1143/PTP.64.2091	journal	December 1980
Construction of Hermitian Effective Interaction in Nuclei: -- General Relation between Hermitian and Non-Hermitian Forms -- Suzuki, K. Progress of Theoretical Physics, Vol. 68, Issue 1 https://doi.org/10.1143/PTP.68.246	journal	July 1982
Reformulation of Coupled-Cluster Theory for Many-Fermion System on Similarity-Transformation Theory Suzuki, K. Progress of Theoretical Physics, Vol. 87, Issue 4 https://doi.org/10.1143/ptp/87.4.937	journal	April 1992
Many-body theory in terms of effective interactions and its relation to coupled-cluster method Suzuki, K.; Okamoto, R.; Kumagai, H. Nuclear Physics A, Vol. 580, Issue 2 https://doi.org/10.1016/0375-9474(94)90770-6	journal	November 1994
Ab Initio Coupled-Cluster Effective Interactions for the Shell Model: Application to Neutron-Rich Oxygen and Carbon Isotopes Jansen, G. R.; Engel, J.; Hagen, G. Physical Review Letters, Vol. 113, Issue 14 https://doi.org/10.1103/PhysRevLett.113.142502	journal	October 2014
Open $s d$ -shell nuclei from first principles Jansen, G. R.; Schuster, M. D.; Signoracci, A. Physical Review C, Vol. 94, Issue 1 https://doi.org/10.1103/PhysRevC.94.011301	journal	July 2016
Nonperturbative Shell-Model Interactions from the In-Medium Similarity Renormalization Group Bogner, S. K.; Hergert, H.; Holt, J. D. Physical Review Letters, Vol. 113, Issue 14 https://doi.org/10.1103/PhysRevLett.113.142501	journal	October 2014
Nucleus-Dependent Valence-Space Approach to Nuclear Structure Stroberg, S. R.; Calci, A.; Hergert, H. Physical Review Letters, Vol. 118, Issue 3 https://doi.org/10.1103/PhysRevLett.118.032502	journal	January 2017
Degenerate many fermion theory in expS form Offermann, R.; Ey, W.; Kümmel, H. Nuclear Physics A, Vol. 273, Issue 2 https://doi.org/10.1016/0375-9474(76)90596-0	journal	November 1976
Theory of the effective interaction in nuclei Zabolitzky, John G.; Ey, W. Nuclear Physics A, Vol. 328, Issue 1-2 https://doi.org/10.1016/0375-9474(79)90236-7	journal	October 1979
An extension of the coupled cluster formalism to excited states (I) Emrich, K. Nuclear Physics A, Vol. 351, Issue 3 https://doi.org/10.1016/0375-9474(81)90179-2	journal	January 1981
An extension of the coupled cluster formalism to excited states Emrich, K. Nuclear Physics A, Vol. 351, Issue 3 https://doi.org/10.1016/0375-9474(81)90180-9	journal	January 1981
Toward open-shell nuclei with coupled-cluster theory Jansen, G. R.; Hjorth-Jensen, M.; Hagen, G. Physical Review C, Vol. 83, Issue 5 https://doi.org/10.1103/PhysRevC.83.054306	journal	May 2011
Effects of Three-Nucleon Forces and Two-Body Currents on Gamow-Teller Strengths Ekström, A.; Jansen, G. R.; Wendt, K. A. Physical Review Letters, Vol. 113, Issue 26 https://doi.org/10.1103/PhysRevLett.113.262504	journal	December 2014
Electron correlations in the Bogoljubov coupled-cluster formalism Emrich, K.; Zabolitzky, J. G. Physical Review B, Vol. 30, Issue 4 https://doi.org/10.1103/PhysRevB.30.2049	journal	August 1984
Two-component Fermi systems: II. Superfluid coupled cluster theory Lahoz, W. A.; Bishop, R. F. Zeitschrift f�r Physik B Condensed Matter, Vol. 73, Issue 3 https://doi.org/10.1007/BF01314275	journal	September 1988
Multireference Nature of Chemistry: The Coupled-Cluster View Lyakh, Dmitry I.; Musiał, Monika; Lotrich, Victor F. Chemical Reviews, Vol. 112, Issue 1 https://doi.org/10.1021/cr2001417	journal	December 2011
Many – Body Methods in Chemistry and Physics Shavitt, Isaiah; Bartlett, Rodney J. https://doi.org/10.1017/CBO9780511596834	book	January 2009
A coupled cluster approach with triple excitations Lee, Yoon S.; Kucharski, Stanislaw A.; Bartlett, Rodney J. The Journal of Chemical Physics, Vol. 81, Issue 12 https://doi.org/10.1063/1.447591	journal	December 1984
Variational principles and linked-cluster exp S expansions for static and dynamic many-body problems Arponen, Jouko Annals of Physics, Vol. 151, Issue 2 https://doi.org/10.1016/0003-4916(83)90284-1	journal	December 1983
Non-iterative corrections to extended coupled-cluster energies employing the generalized method of moments of coupled-cluster equations Fan, Peng-Dong; Kowalski, Karol; Piecuch *, Piotr Molecular Physics, Vol. 103, Issue 15-16 https://doi.org/10.1080/00268970500131595	journal	August 2005
Magnus expansion and in-medium similarity renormalization group Morris, T. D.; Parzuchowski, N. M.; Bogner, S. K. Physical Review C, Vol. 92, Issue 3 https://doi.org/10.1103/PhysRevC.92.034331	journal	September 2015
Numerical canonical transformation approach to quantum many-body problems White, Steven R. The Journal of Chemical Physics, Vol. 117, Issue 16 https://doi.org/10.1063/1.1508370	journal	October 2002
Analytic energy derivatives in many‐body methods. I. First derivatives Salter, E. A.; Trucks, Gary W.; Bartlett, Rodney J. The Journal of Chemical Physics, Vol. 90, Issue 3 https://doi.org/10.1063/1.456069	journal	February 1989
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory Entem, D. R.; Machleidt, R. Physical Review C, Vol. 68, Issue 4 https://doi.org/10.1103/PhysRevC.68.041001	journal	October 2003
Similarity renormalization group for nucleon-nucleon interactions Bogner, S. K.; Furnstahl, R. J.; Perry, R. J. Physical Review C, Vol. 75, Issue 6 https://doi.org/10.1103/PhysRevC.75.061001	journal	June 2007
Spherical coupled-cluster theory for open-shell nuclei Jansen, G. R. Physical Review C, Vol. 88, Issue 2 https://doi.org/10.1103/PhysRevC.88.024305	journal	August 2013
The Shell-Model Code NuShellX@MSU Brown, B. A.; Rae, W. D. M. Nuclear Data Sheets, Vol. 120 https://doi.org/10.1016/j.nds.2014.07.022	journal	June 2014

Similar Records

Spherical coupled-cluster theory for open-shell nuclei

Journal Article · Mon Aug 05 00:00:00 EDT 2013 · Physical Review C, Nuclear Physics · OSTI ID:1546557

Jansen, G. R.

Ab initio Bogoliubov coupled cluster theory for open-shell nuclei

Journal Article · Mon Jun 29 00:00:00 EDT 2015 · Physical Review C · OSTI ID:1546557

Signoracci, Angelo J.; Duguet, Thomas; Hagen, Gaute; +1 more

Effective shell-model interaction for nuclei “southeast” of ¹⁰⁰Sn

Journal Article · Tue Dec 14 00:00:00 EST 2021 · Physical Review C · OSTI ID:1546557

Sun, ZHONGHAO; Hagen, Gaute; Jansen, Gustav; +1 more

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Title: Shell-model coupled-cluster method for open-shell nuclei

Citation Formats

References (76)

Similar Records

Related Subjects