Few-Body Systems

, Volume 54, Issue 7–10, pp 1371–1375 | Cite as

Benchmark of the No-Core Monte Carlo Shell Model in Light Nuclei

  • T. Abe
  • P. Maris
  • T. Otsuka
  • N. Shimizu
  • Y. Utsuno
  • J. P. Vary
  • T. Yoshida
Article
  • 101 Downloads

Abstract

We report the benchmark comparison of the properties in light nuclei among the Monte Carlo Shell Model, Full Configuration Interaction and No Core Full Configuration approaches. For this benchmark process, we compare results for the energies of 9 states from helium-4 to carbon-12 that includes 7 ground states and 2 excited states. The JISP16 NN interaction is adopted. The Coulomb and all other interactions are neglected. The contributions of spurious center-of-mass excitation are not discussed here. The basis space is truncated by the cutoff of the single-particle basis space, Nshell. We select the optimal ħω that minimizes the energy for that state and basis space cutoff. The MCSM results are obtained by exploiting the recent development in the computation of two-body matrix elements between non-orthogonal Slater determinants and technique of the energy-variance extrapolation. All results are found to be consistent with each other to within quoted uncertainties when they could be quantified. As an exploratory attempt, we also demonstrate how to draw the intrinsic density from no-core MCSM wave functions by taking the 8Be ground state as an example.

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References

  1. 1.
    Pieper S.C., Wiringa R.B., Carlson J.: Quantum Monte Carlo calculations of excited states in A = 6 − 8 nuclei. Phys. Rev. C 70, 054325 (2004)ADSCrossRefGoogle Scholar
  2. 2.
    Nollett K.M., Pieper S.C., Wiringa R.B., Carlson J., Hale G.M.: Quantum Monte Carlo calculations of neutron-α scattering. Phys. Rev. Lett. 99, 022502 (2007)ADSCrossRefGoogle Scholar
  3. 3.
    Hagen G., Hjorth-Jensen M., Jansen G.R., Machleidt R., Papenbrock T.: Continuum effects and three-nucleon forces in neutron-rich oxygen isotopes. Phys. Rev. Lett. 108, 242501 (2012)ADSCrossRefGoogle Scholar
  4. 4.
    Hagen, G., Hjorth-Jensen, M., Jansen, G.R., Machleidt, R., Papenbrock, T.: Evolution of shell structure in neutron-rich calcium isotopes. Phys. Rev. Lett 109, 032502 (2012)Google Scholar
  5. 5.
    Navrátil P., Vary J.P., Barrett B.R.: Properties of 12C in the Ab initio nuclear shell model. Phys. Rev. Lett. 84, 5728 (2000)ADSCrossRefGoogle Scholar
  6. 6.
    Navrátil P., Vary J.P., Barrett B.R.: Large-basis Ab initio no-core shell model and its application to 12C. Phys. Rev. C 62, 054311 (2000)ADSCrossRefGoogle Scholar
  7. 7.
    Quaglioni S., Navrátil P.: Ab initio many-body calculations of n-3H, n-4He, p-3,4He, and n10Be scattering. Phys. Rev. Lett. 101, 092501 (2008)ADSCrossRefGoogle Scholar
  8. 8.
    Quaglioni S., Navrátil P.: Ab initio many-body calculations of nucleon-nucleus scattering. Phys. Rev. C 79, 044606 (2009)ADSCrossRefGoogle Scholar
  9. 9.
    Roth R.: Importance truncation for large-scale configuration interaction approaches. Phys. Rev. C 79, 064324 (2009)ADSCrossRefGoogle Scholar
  10. 10.
    Roth R., Binder S., Vobig K., Calci A., Langhammer J., Navrátil P.: Medium-mass nuclei with normal-ordered chiral NN+3N interactions. Phys. Rev. Lett. 109, 052501 (2012)ADSCrossRefGoogle Scholar
  11. 11.
    Dytrych T., Sviratcheva K.D., Bahri C., Draayer J.P., Vary J.P.: Evidence for symplectic symmetry in Ab initio no-core shell model results for light nuclei. Phys. Rev. Lett. 98, 162503 (2007)ADSCrossRefGoogle Scholar
  12. 12.
    Dytrych T., Sviratcheva K.D., Bahri C., Draayer J.P., Vary J.P.: Highly deformed modes in the Ab initio symplectic no-core shell model. J. Phys. G 35, 095101 (2008)ADSCrossRefGoogle Scholar
  13. 13.
    Dytrych T., Sviratcheva K.D., Draayer J.P., Bahri C., Vary J.P.: Ab initio symplectic no-core shell model. J. Phys. G 35, 123101 (2008)ADSCrossRefGoogle Scholar
  14. 14.
    Liu L., Otsuka T., Shimizu N., Utsuno Y., Roth R.: No-core MCSM calculation for 10Be and 12Be low-lying spectra. Phys. Rev. C 86, 014302 (2012)ADSCrossRefGoogle Scholar
  15. 15.
    Abe T., Maris P., Otsuka T., Shimizu N., Utsuno Y., Vary J.P.: Benchmark calculation of no-core Monte Carlo shell model in light nuclei. AIP Conf. Proc. 1355, 173 (2011)ADSCrossRefGoogle Scholar
  16. 16.
    Abe T., Maris P., Otsuka T., Shimizu N., Utsuno Y., Vary J.P.: Benchmarks of the full configuration interaction, Monte Carlo shell model, and no-core full configuration methods. Phys. Rev. C 86, 054301 (2012)ADSCrossRefGoogle Scholar
  17. 17.
    Shimizu, N., Abe, T., Tsunoda, Y., Utsuno, Y., Yoshida, T., Mizusaki, T., Honma, M., Otsuka, T.: New generation of the Monte Carlo shell model for the K computer era. Prog. Theor. Exp. Phys. 01A205 (2012)Google Scholar
  18. 18.
    Utsuno Y., Shimizu N., Otsuka T., Abe T.: Efficient computation of Hamiltonian matrix elements between non-orthogonal Slater determinants. Comput. Phys. Commun. 184, 102 (2013)MathSciNetADSCrossRefGoogle Scholar
  19. 19.
    Shimizu N., Utsuno Y., Mizusaki T., Otsuka T., Abe T., Honma M.: Novel extrapolation method in the Monte Carlo shell model. Phys. Rev. C 82, 061305(R) (2010)ADSCrossRefGoogle Scholar
  20. 20.
    Shimizu N., Utsuno Y., Mizusaki T., Honma M., Tsunoda Y., Otsuka T.: Variational procedure for nuclear shell-model calculations and energy-variance extrapolation. Phys. Rev. C 85, 054301 (2012)ADSCrossRefGoogle Scholar
  21. 21.
    Honma M., Mizusaki T., Otsuka T.: Diagonalization of Hamiltonians for many-body systems by auxiliary field quantum Monte Carlo technique. Phys. Rev. Lett. 75, 1284 (1995)ADSCrossRefGoogle Scholar
  22. 22.
    Honma M., Mizusaki T., Otsuka T.: Nuclear shell model by the quantum Monte Carlo diagonalization method. Phys. Rev. Lett. 77, 3315 (1996)ADSCrossRefGoogle Scholar
  23. 23.
    Otsuka T., Honma M., Mizusaki T.: Structure of the NZ =  28 closed shell studied by Monte Carlo shell model calculation. Phys. Rev. Lett. 81, 1588 (1998)ADSCrossRefGoogle Scholar
  24. 24.
    Otsuka T., Honma M., Mizusaki T., Shimizu N., Utsuno Y.: Monte Carlo shell model for atomic nuclei. Prog. Part. Nucl. Phys. 47, 319 (2001)ADSCrossRefGoogle Scholar
  25. 25.
    Maris P., Vary J.P., Shirokov A.M.: Ab initio no-core full configuration calculations of light nuclei. Phys. Rev. C 79, 14308 (2009)ADSCrossRefGoogle Scholar
  26. 26.
    Maris P., Shirokov A.M., Vary J.P.: Ab initio nuclear structure simulations: the speculative 14F nucleus. Phys. Rev. C 81, 021301 (2010)ADSCrossRefGoogle Scholar
  27. 27.
    Shirokov A.M., Vary J.P., Mazur A.I., Weber T.A.: Realistic nuclear Hamiltonian: Ab exitu approach. Phys. Lett. B 644, 33 (2007)ADSCrossRefGoogle Scholar
  28. 28.
    Shirokov A.M., Vary J.P., Mazur A.I., Zaytsev S.A., Weber T.A.: Novel NN interaction and the spectroscopy of light nuclei. Phys. Lett. B 621, 96 (2005)ADSCrossRefGoogle Scholar
  29. 29.
    Wiringa R.B., Pieper S.C., Carlson J., Pandharipande V.R.: Quantum Monte Carlo calculations of A = 8 nuclei. Phys. Rev. C 62, 014001 (2000)ADSCrossRefGoogle Scholar
  30. 30.
    Cockrell C., Vary J.P., Maris P.: Lithium isotopes within the Ab initio no-core full configuration approach. Phys. Rev. C 86, 034325 (2012)ADSCrossRefGoogle Scholar
  31. 31.
    Yoshida, T., Shimizu, N. Abe, T., Otsuka, T.: Intrinsic structure of light nuclei in Monte Carlo shell model calculation. In: Proceedings of the contribution to The 20th International IUAPA Conference on Few-Body Problems in Physics (FB20)Google Scholar

Copyright information

© Springer-Verlag Wien 2013

Authors and Affiliations

  • T. Abe
    • 1
  • P. Maris
    • 2
  • T. Otsuka
    • 1
    • 3
    • 4
  • N. Shimizu
    • 3
  • Y. Utsuno
    • 5
  • J. P. Vary
    • 2
  • T. Yoshida
    • 3
  1. 1.Department of PhysicsThe University of TokyoTokyoJapan
  2. 2.Department of Physics and AstronomyIowa State UniversityAmesUSA
  3. 3.Center for Nuclear Study, The University of TokyoTokyoJapan
  4. 4.National Superconducting Cyclotron Laboratory, Michigan State UniversityEast LansingUSA
  5. 5.Advanced Science Research Center, Japan Atomic Energy AgencyTokaiJapan

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