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No-core shell model calculations of the photonuclear cross section of 10B

  • M. K. G. Kruse
  • W. E. OrmandEmail author
  • C. W. Johnson
Regular Article - Theoretical Physics
  • 11 Downloads
Part of the following topical collections:
  1. Giant, Pygmy, Pairing Resonances and Related Topics

Abstract.

Results of ab initio no-core, shell model calculations for the photonuclear cross section of 10B are presented using realistic two-nucleon (NN) chiral forces up to next-to-next-to-next-order (N3LO) softened by the similarity renormalization group method (SRG) with \( \lambda= 2.02\) fm-1. The electric-dipole response function is calculated using the Lanczos method, with the effects of the continuum included via neutron escape widths derived from R-matrix theory and using the Lorentz integral transform method. The calculated cross section agrees well with experimental data in terms of structure as well as in absolute peak height, \( \sigma_{\max}=4.85\) mb at photon energy \( \omega= 23.61\) MeV, and integrated cross section 85.36 MeV. mb. We also test the Brink hypothesis by calculating the electric-dipole response for the first nine positive-parity states with \( J \ne 0\) in 10B and verify that dipole excitations built upon the ground and excited states have similar characteristics.

References

  1. 1.
    G.C. Baldwin, G.S. Klaiber, Phys. Rev. 71, 3 (1947)ADSGoogle Scholar
  2. 2.
    A. Bohr, B. Mottelson, Nuclear Structure: Volume 2, Nuclear deformations, Nuclear Structure (Benjamin, 1969) http://books.google.com/books?id=dRhRAAAAMAAJ
  3. 3.
    M. Goldhaber, E. Teller, Phys. Rev. 74, 1046 (1948)ADSGoogle Scholar
  4. 4.
    H. Steinwedel, J.H.D. Jensen, Z. Naturforsch. A 5, 413 (1950)ADSGoogle Scholar
  5. 5.
    P. Ring, P. Schuck, The Nuclear Many-Body Problem, Nuclear Structure (Springer Verlag, 1980)Google Scholar
  6. 6.
    J. Speth, A. van der Woude, Rep. Prog. Phys. 44, 719 (1981)ADSGoogle Scholar
  7. 7.
    G.F. Bertsch, P.F. Bortignon, R.A. Broglia, Rev. Mod. Phys. 55, 287 (1983)ADSGoogle Scholar
  8. 8.
    D. Brink, PhD Thesis, University of Oxford (1955) unpublishedGoogle Scholar
  9. 9.
    V.D. Efros, W. Leidemann, G. Orlandini, Phys. Rev. Lett. 78, 4015 (1997)ADSGoogle Scholar
  10. 10.
    I. Stetcu, S. Quaglioni, S. Bacca, B.R. Barrett, C.W. Johnson, P. Navrátil, N. Barnea, W. Leidemann, G. Orlandini, Nucl. Phys. A 785, 307 (2007)ADSGoogle Scholar
  11. 11.
    S. Bacca, M.A. Marchisio, N. Barnea, W. Leidemann, G. Orlandini, Phys. Rev. Lett. 89, 052502 (2002)ADSGoogle Scholar
  12. 12.
    S. Bacca, N. Barnea, W. Leidemann, G. Orlandini, Phys. Rev. C 69, 057001 (2004)ADSGoogle Scholar
  13. 13.
    S. Bacca, H. Arenhövel, N. Barnea, W. Leidemann, G. Orlandini, Phys. Lett. B 603, 159 (2004)ADSGoogle Scholar
  14. 14.
    D. Gazit, S. Bacca, N. Barnea, W. Leidemann, G. Orlandini, Phys. Rev. Lett. 96, 112301 (2006)ADSGoogle Scholar
  15. 15.
    S. Quaglioni, P. Navrátil, Phys. Lett. B 652, 370 (2007)ADSGoogle Scholar
  16. 16.
    N. Barnea, W. Leidemann, G. Orlandini, Nucl. Phys. A 693, 565 (2001)ADSGoogle Scholar
  17. 17.
    Y.I. Fenin, V.D. Efros, Sov. J. Nucl. Phys. 15, 497 (1972)Google Scholar
  18. 18.
    P. Navrátil, J.P. Vary, B.R. Barrett, Phys. Rev. Lett. 84, 5728 (2000)ADSGoogle Scholar
  19. 19.
    P. Navrátil, S. Quaglioni, I. Stetcu, B.R. Barrett, J. Phys. G: Nucl. Part. Phys. 36, 083101 (2009)ADSGoogle Scholar
  20. 20.
    B.R. Barrett, P. Navrátil, J.P. Vary, Prog. Part. Nucl. Phys. 69, 131 (2013)ADSGoogle Scholar
  21. 21.
    V.D. Efros, W. Leidemann, G. Orlandini, Phys. Lett. B 338, 130 (1994)ADSGoogle Scholar
  22. 22.
    V.D. Efros, W. Leidemann, G. Orlandini, N. Barnea, J. Phys. G: Nucl. Part. Phys. 34, R459 (2007)ADSGoogle Scholar
  23. 23.
    S. Bacca, N. Barnea, G. Hagen, G. Orlandini, T. Papenbrock, Phys. Rev. Lett. 111, 122502 (2013)ADSGoogle Scholar
  24. 24.
    E. Epelbaum, H.W. Hammer, U.G. Meißner, Rev. Mod. Phys. 81, 1773 (2009)ADSGoogle Scholar
  25. 25.
    R. Machleidt, D. Entem, Phys. Rep. 503, 1 (2011)ADSGoogle Scholar
  26. 26.
    D.R. Entem, R. Machleidt, Phys. Rev. C 68, 041001 (2003)ADSGoogle Scholar
  27. 27.
    S.K. Bogner, R.J. Furnstahl, R.J. Perry, Phys. Rev. C 75, 061001 (2007)ADSGoogle Scholar
  28. 28.
    E.D. Jurgenson, P. Navrátil, R.J. Furnstahl, Phys. Rev. Lett. 103, 082501 (2009)ADSGoogle Scholar
  29. 29.
    S. Bogner, R. Furnstahl, A. Schwenk, Prog. Part. Nucl. Phys. 65, 94 (2010)ADSGoogle Scholar
  30. 30.
    R. Roth, J. Langhammer, A. Calci, S. Binder, P. Navrátil, Phys. Rev. Lett. 107, 072501 (2011)ADSGoogle Scholar
  31. 31.
    E.D. Jurgenson, P. Navrátil, R.J. Furnstahl, Phys. Rev. C 83, 034301 (2011)ADSGoogle Scholar
  32. 32.
    E.D. Jurgenson, P. Maris, R.J. Furnstahl, P. Navrátil, W.E. Ormand, J.P. Vary, Phys. Rev. C 87, 054312 (2013)ADSGoogle Scholar
  33. 33.
    S. Baroni, P. Navrátil, S. Quaglioni, Phys. Rev. C 87, 034326 (2013)ADSGoogle Scholar
  34. 34.
    P. Brussaard, P. Glaudemans, Shell-Model Applications in Nuclear Spectroscopy (North-Holland, 1977)Google Scholar
  35. 35.
    E. Caurier, A. Poves, A. Zuker, Phys. Lett. B 252, 13 (1990)ADSGoogle Scholar
  36. 36.
    E. Caurier, A. Poves, A.P. Zuker, Phys. Rev. Lett. 74, 1517 (1995)ADSGoogle Scholar
  37. 37.
    E. Caurier, G. Martinez-Pinedo, F. Nowacki, A. Poves, J. Retamosa, A.P. Zuker, Phys. Rev. C 59, 2033 (1999)ADSGoogle Scholar
  38. 38.
    E. Caurier, G. Martínez-Pinedo, F. Nowacki, A. Poves, A.P. Zuker, Rev. Mod. Phys. 77, 427 (2005)ADSGoogle Scholar
  39. 39.
    R. Whitehead, Moment Methods in Many Fermion Systems (Plenum, New York, 1980) p. 235Google Scholar
  40. 40.
    S. Bloom, Prog. Part. Nucl. Phys. 11, 505 (1984)ADSGoogle Scholar
  41. 41.
    C.W. Johnson, W.E. Ormand, P.G. Krastev, Comput. Phys. Commun. 184, 2761 (2013)ADSGoogle Scholar
  42. 42.
    P. Navrátil, E. Caurier, Phys. Rev. C 69, 014311 (2004)ADSGoogle Scholar
  43. 43.
    D. Tilley, J. Kelley, J. Godwin, D. Millener, J. Purcell, C. Sheu, H. Weller, Nucl. Phys. A 745, 155 (2004)ADSGoogle Scholar
  44. 44.
    N. Barnea, V.D. Efros, W. Leidemann, G. Orlandini, Few-Body Syst. 47, 201 (2010)ADSGoogle Scholar
  45. 45.
    S.F. Mughabghab, Atlas of Neutron Resonances: Resonance Parameters and Thermal Cross Sections (Elsevier, 2006)Google Scholar
  46. 46.
    R. Hughes, E. Muirhead, Nucl. Phys. A 215, 147 (1973)ADSGoogle Scholar
  47. 47.
    M. Ahsan, S. Siddiqui, H. Thies, Nucl. Phys. A 469, 381 (1987)ADSGoogle Scholar
  48. 48.
    U. Kneissl, K. Leister, H. Neidel, A. Weller, Nucl. Phys. A 264, 30 (1976)ADSGoogle Scholar
  49. 49.
    B. Berman, Ucrl 75694 (Lawrence Livermore National Laboratory, 1974)Google Scholar
  50. 50.
    B. Berman, in Proceedings of the International Conference on Photonuclear Reactions and Applications, edited by B. Berman, Vol. 1 (Oak Ridge, U.S. Atomic Energy Commission Office of Information Services, 1973) p. 175Google Scholar
  51. 51.
    E. Hayward, T. Stovall, Nucl. Phys. 69, 241 (1965)Google Scholar
  52. 52.
    G. Neyens, Rep. Prog. Phys. 66, 633 (2003)ADSGoogle Scholar
  53. 53.
    A. Cichocki, J. Dubach, R. Hicks, G. Peterson, C. de Jager, H. de Vries, N. Kalantar-Nayestanaki, T. Sato, Phys. Rev. C 51, 2406 (1995)ADSGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • M. K. G. Kruse
    • 1
  • W. E. Ormand
    • 1
    Email author
  • C. W. Johnson
    • 2
  1. 1.Lawrence Livermore National LaboratoryLivermoreUSA
  2. 2.San Diego State UniversitySan DiegoUSA

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