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Sum rules in the proton-neutron interacting boson model: Generalized treatment and specific applications

K. Heyde, C. De Coster, and D. Ooms

  • Institute for Nuclear Physics and Theoretical Physics, Proeftuinstraat 86, B-9000 Gent, Belgium

Phys. Rev. C 49, 156 – Published 1 January, 1994Erratum Phys. Rev. C 54, 2093 (1996)

DOI: https://doi.org/10.1103/PhysRevC.49.156

Abstract

A detailed study of sum rules for E0,E2 and M1 and M3 transitions within the framework of the proton-neutron interacting boson model (IBM-2) is carried out. Both the non-energy-weighted as well as linear energy-weighted sum rules are derived for rather general IBM-2 Hamiltonians. Special attention is given to the M1 sum rule for which a large amount of data exists. We also show how these more general sum rule results reduce to simple answers when considering the limit of U(5), SU(3), and O(6) dynamical symmetries. Finally, a relation between the M1 and M3 sum rules is pointed out.

Erratum

References (54)

  1. D. Bohle et al., Phys. Lett. 137B, 27 (1984).
  2. A. Richter, in Proceedings of the 4th International Spring Seminar on Nuclear Physics, edited by A. Covello (World Scientific, Singapore, 1993), and references therein.
  3. U. Kneissl, Prog. Part. Nucl. Phys. 24, 41 (1990), and references therein.
  4. P. Sarriguren, E. Moya de Guerra, R. Nojarov and A. Faessler, J. Phys. G 19, 2191 (1993), and references therein.
  5. A. Faessler and R. Nojarov, Phys. Rev. C 41, 1243 (1990).
  6. I. Hamamoto and C. Magnusson, Phys. Lett. B 260, 6 (1991).
  7. C. De Coster, K. Heyde and A. Richter, Nucl. Phys. A542, 375 (1992).
  8. D. Zawischa, M. MacFarlane and J. Speth, Phys. Rev. C 42, 1461 (1990).
  9. T. Otsuka, Nucl. Phys. A507, 129c (1990).
  10. R. R. Hilton, Ann. Phys. (N.Y.) 214, 258 (1992).
  11. C. De Coster and K. Heyde, Nucl. Phys. A524, 441 (1991); ibid. A529, 507 (1991).
  12. C. De Coster and K. Heyde, Phys. Rev. Lett. 63, 2797 (1989).
  13. K. Heyde and C. De Coster, Phys. Rev. C 44, R2262 (1991).
  14. K. Heyde, C. De Coster, A. Richter and H. J. Wörtche, Nucl. Phys. 549, 103 (1992).
  15. U. Hartmann et al., Nucl. Phys. A465, 25 (1987).
  16. W. Ziegler, C. Rangacharyulu, A. Richter and C. Spieler, Phys. Rev. Lett. 65, 2515 (1990).
  17. C. Rangacharyulu, A. Richter, H. J. Wörtche, W. Ziegler and R. F. Casten, Phys. Rev. C 43, R949 (1991).
  18. J. Margraf et al., Phys. Rev. C 45, R521 (1992); , ibid. 47, 1474 (1993).
  19. E. Garrido, E. Moya de Guerra, P. Sarriguren and T. M. Udias, Phys. Rev. C 44, R1250 (1991).
  20. I. Hamamoto and W. Nazarewicz, Phys. Lett. B 297, 25 (1992).
  21. R. F. Casten, D. S. Brenner and P. Haustein, Phys. Rev. Lett. 58, 658 (1987).
  22. L. Zamick and D. C. Zheng, Phys. Rev. C 44, 2522 (1991); ibid. 46, 2106 (1992).
  23. E. Moya de Guerra and L. Zamick, Phys. Rev. C 47, 2604 (1993).
  24. K. Heyde, C. De Coster, and D. Ooms (unpublished).
  25. D. Ooms, Lic. thesis, University of Gent, 1992 (unpublished).
  26. D. J. Rowe, Nuclear Collective Motion (Methuen, New York, 1970).
  27. P. Van Isacker, K. Heyde, J. Jolie and A. Sevrin, Ann. Phys. (N.Y.) 171, 253 (1986).
  28. O. Scholten, K. Heyde, P. Van Isacker, J. Jolie, J. Moreau, M. Waroquier and J. Sau, Nucl. Phys. A438, 41 (1985).
  29. F. Iachello and I. Talmi, Rev. Mod. Phys. 59, 339 (1987).
  30. P. O. Lipas, P. von Brentano and A. Gelberg, Rep. Prog. Phys. 11, 1363 (1990).
  31. F. Iachello and A. Arima, The Interacting Boson Model (Cambridge University Press, Cambridge, 1987).
  32. D. Bonatsos, Interacting Boson Models of Nuclear Structure (Clarendon Press, Oxford, 1988).
  33. O. Scholten, Ph.D. thesis, University of Groningen, 1980 (unpublished).
  34. J. Ginocchio, Phys. Lett. B 265, 6 (1991).
  35. T. Otsuka and N. Yoshida, Users Manual of the program NPBOS, JAERI 1985.
  36. H. Harter, A. Gelberg and P. von Brentano, Phys. Lett. 157B, 1 (1985).
  37. H. Harter, Ph.D. thesis, University of Köln, 1987 (unpublished).
  38. K. Heyde, C. De Coster, D. Ooms and A. Richter, Phys. Lett. B 312, 267 (1993).
  39. J. N. Ginocchio and M. W. Kirson, Nucl. Phys. A350, 31 (1980).
  40. E. Otten, in Treatise on Heavy Ion Science, edited by D. A. Bromley (Plenum, New York, 1988), Vol. 8, p. 517.
  41. O. Scholten, A. E. L. Dieperink, K. Heyde and P. Van Isacker, Phys. Lett. 149B, 279 (1984).
  42. N. Lo Iudice, Phys. Rev. C 38, 2895 (1988).
  43. L. Zamick, Phys. Rev. C 33, 691 (1986).
  44. H. Liu and L. Zamick, Phys. Rev. C 36, 2064 (1987).
  45. G. Soloviev, Theory of Atomic Nuclei: Quasiparticles and Phonons (Institute of Physics, Bristol, 1992).
  46. T. Otsuka and J. Ginocchio, Phys. Rev. Lett. 54, 777 (1985).
  47. G. Wenes, T. Otsuka and J. Ginocchio, Phys. Rev. C 37, 1878 (1988).
  48. A. M. Lane, Nuclear Theory (W.A. Benjamin, New York, 1964).
  49. A. Bohr and B. Mottelson, Nuclear Structure (W.A. Benjamin, New York, 1975), Vol. 20.
  50. T. Otsuka, A. Arima and F. Iachello, Nucl. Phys. A309, 1 (1978).
  51. J. Ginocchio and P. Van Isacker, Phys. Rev. C 33, 365 (1986).
  52. A. F. Barfield and K. P. Lieb, Phys. Rev. C 41, 1762 (1990).
  53. R. F. Casten and A. Wolf, Phys. Lett. B 280, 1 (1992).
  54. A. Wolf and R. F. Casten, Phys. Rev. C 46, 1323 (1992).

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