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

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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.

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References

  1. G.C. Baldwin, G.S. Klaiber, Phys. Rev. 71, 3 (1947)

    ADS  Google Scholar 

  2. A. Bohr, B. Mottelson, Nuclear Structure: Volume 2, Nuclear deformations, Nuclear Structure (Benjamin, 1969) http://books.google.com/books?id=dRhRAAAAMAAJ

  3. M. Goldhaber, E. Teller, Phys. Rev. 74, 1046 (1948)

    ADS  Google Scholar 

  4. H. Steinwedel, J.H.D. Jensen, Z. Naturforsch. A 5, 413 (1950)

    ADS  Google Scholar 

  5. P. Ring, P. Schuck, The Nuclear Many-Body Problem, Nuclear Structure (Springer Verlag, 1980)

  6. J. Speth, A. van der Woude, Rep. Prog. Phys. 44, 719 (1981)

    ADS  Google Scholar 

  7. G.F. Bertsch, P.F. Bortignon, R.A. Broglia, Rev. Mod. Phys. 55, 287 (1983)

    ADS  Google Scholar 

  8. D. Brink, PhD Thesis, University of Oxford (1955) unpublished

  9. V.D. Efros, W. Leidemann, G. Orlandini, Phys. Rev. Lett. 78, 4015 (1997)

    ADS  Google Scholar 

  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)

    ADS  Google Scholar 

  11. S. Bacca, M.A. Marchisio, N. Barnea, W. Leidemann, G. Orlandini, Phys. Rev. Lett. 89, 052502 (2002)

    ADS  Google Scholar 

  12. S. Bacca, N. Barnea, W. Leidemann, G. Orlandini, Phys. Rev. C 69, 057001 (2004)

    ADS  Google Scholar 

  13. S. Bacca, H. Arenhövel, N. Barnea, W. Leidemann, G. Orlandini, Phys. Lett. B 603, 159 (2004)

    ADS  Google Scholar 

  14. D. Gazit, S. Bacca, N. Barnea, W. Leidemann, G. Orlandini, Phys. Rev. Lett. 96, 112301 (2006)

    ADS  Google Scholar 

  15. S. Quaglioni, P. Navrátil, Phys. Lett. B 652, 370 (2007)

    ADS  Google Scholar 

  16. N. Barnea, W. Leidemann, G. Orlandini, Nucl. Phys. A 693, 565 (2001)

    ADS  Google Scholar 

  17. Y.I. Fenin, V.D. Efros, Sov. J. Nucl. Phys. 15, 497 (1972)

    Google Scholar 

  18. P. Navrátil, J.P. Vary, B.R. Barrett, Phys. Rev. Lett. 84, 5728 (2000)

    ADS  Google Scholar 

  19. P. Navrátil, S. Quaglioni, I. Stetcu, B.R. Barrett, J. Phys. G: Nucl. Part. Phys. 36, 083101 (2009)

    ADS  Google Scholar 

  20. B.R. Barrett, P. Navrátil, J.P. Vary, Prog. Part. Nucl. Phys. 69, 131 (2013)

    ADS  Google Scholar 

  21. V.D. Efros, W. Leidemann, G. Orlandini, Phys. Lett. B 338, 130 (1994)

    ADS  Google Scholar 

  22. V.D. Efros, W. Leidemann, G. Orlandini, N. Barnea, J. Phys. G: Nucl. Part. Phys. 34, R459 (2007)

    ADS  Google Scholar 

  23. S. Bacca, N. Barnea, G. Hagen, G. Orlandini, T. Papenbrock, Phys. Rev. Lett. 111, 122502 (2013)

    ADS  Google Scholar 

  24. E. Epelbaum, H.W. Hammer, U.G. Meißner, Rev. Mod. Phys. 81, 1773 (2009)

    ADS  Google Scholar 

  25. R. Machleidt, D. Entem, Phys. Rep. 503, 1 (2011)

    ADS  Google Scholar 

  26. D.R. Entem, R. Machleidt, Phys. Rev. C 68, 041001 (2003)

    ADS  Google Scholar 

  27. S.K. Bogner, R.J. Furnstahl, R.J. Perry, Phys. Rev. C 75, 061001 (2007)

    ADS  Google Scholar 

  28. E.D. Jurgenson, P. Navrátil, R.J. Furnstahl, Phys. Rev. Lett. 103, 082501 (2009)

    ADS  Google Scholar 

  29. S. Bogner, R. Furnstahl, A. Schwenk, Prog. Part. Nucl. Phys. 65, 94 (2010)

    ADS  Google Scholar 

  30. R. Roth, J. Langhammer, A. Calci, S. Binder, P. Navrátil, Phys. Rev. Lett. 107, 072501 (2011)

    ADS  Google Scholar 

  31. E.D. Jurgenson, P. Navrátil, R.J. Furnstahl, Phys. Rev. C 83, 034301 (2011)

    ADS  Google Scholar 

  32. E.D. Jurgenson, P. Maris, R.J. Furnstahl, P. Navrátil, W.E. Ormand, J.P. Vary, Phys. Rev. C 87, 054312 (2013)

    ADS  Google Scholar 

  33. S. Baroni, P. Navrátil, S. Quaglioni, Phys. Rev. C 87, 034326 (2013)

    ADS  Google Scholar 

  34. P. Brussaard, P. Glaudemans, Shell-Model Applications in Nuclear Spectroscopy (North-Holland, 1977)

  35. E. Caurier, A. Poves, A. Zuker, Phys. Lett. B 252, 13 (1990)

    ADS  Google Scholar 

  36. E. Caurier, A. Poves, A.P. Zuker, Phys. Rev. Lett. 74, 1517 (1995)

    ADS  Google Scholar 

  37. E. Caurier, G. Martinez-Pinedo, F. Nowacki, A. Poves, J. Retamosa, A.P. Zuker, Phys. Rev. C 59, 2033 (1999)

    ADS  Google Scholar 

  38. E. Caurier, G. Martínez-Pinedo, F. Nowacki, A. Poves, A.P. Zuker, Rev. Mod. Phys. 77, 427 (2005)

    ADS  Google Scholar 

  39. R. Whitehead, Moment Methods in Many Fermion Systems (Plenum, New York, 1980) p. 235

  40. S. Bloom, Prog. Part. Nucl. Phys. 11, 505 (1984)

    ADS  Google Scholar 

  41. C.W. Johnson, W.E. Ormand, P.G. Krastev, Comput. Phys. Commun. 184, 2761 (2013)

    ADS  Google Scholar 

  42. P. Navrátil, E. Caurier, Phys. Rev. C 69, 014311 (2004)

    ADS  Google Scholar 

  43. D. Tilley, J. Kelley, J. Godwin, D. Millener, J. Purcell, C. Sheu, H. Weller, Nucl. Phys. A 745, 155 (2004)

    ADS  Google Scholar 

  44. N. Barnea, V.D. Efros, W. Leidemann, G. Orlandini, Few-Body Syst. 47, 201 (2010)

    ADS  Google Scholar 

  45. S.F. Mughabghab, Atlas of Neutron Resonances: Resonance Parameters and Thermal Cross Sections (Elsevier, 2006)

  46. R. Hughes, E. Muirhead, Nucl. Phys. A 215, 147 (1973)

    ADS  Google Scholar 

  47. M. Ahsan, S. Siddiqui, H. Thies, Nucl. Phys. A 469, 381 (1987)

    ADS  Google Scholar 

  48. U. Kneissl, K. Leister, H. Neidel, A. Weller, Nucl. Phys. A 264, 30 (1976)

    ADS  Google Scholar 

  49. B. Berman, Ucrl 75694 (Lawrence Livermore National Laboratory, 1974)

  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. 175

  51. E. Hayward, T. Stovall, Nucl. Phys. 69, 241 (1965)

    Google Scholar 

  52. G. Neyens, Rep. Prog. Phys. 66, 633 (2003)

    ADS  Google Scholar 

  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)

    ADS  Google Scholar 

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Correspondence to W. E. Ormand.

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Communicated by N. Alamanos

Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The experimental data shown in fig. 5 were obtained from the EXFOR data compilation https://www.nndc.bnl.gov/exfor. All other data generated in this study are contained in this published article.]

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Kruse, M.K.G., Ormand, W.E. & Johnson, C.W. No-core shell model calculations of the photonuclear cross section of 10B. Eur. Phys. J. A 55, 225 (2019). https://doi.org/10.1140/epja/i2019-12905-1

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