Abstract
The pseudo-SU(3) shell model is used to describe rotational bands and B(E2) electromagnetic transition strengths in the even- and odd-mass rare earth isotopes 164,165,166,167,168Er. The building blocks of the model are the pseudo-SU(3) proton and neutron states with pseudo-spin zero and 1/2, which describe even and odd numbers of nucleons, respectively. The many-particle states are built as linear combinations of pseudo-SU(3) coupled states with well-defined particle number and total angular momentum. The Hamiltonian includes spherical Nilsson single-particle energies, quadrupole—quadrupole and pairing interactions, as well as rotor terms that are diagonal in the SU(3) basis. The use of realistic single-particle energies has a fundamental importance in the appropriate description of odd-mass nuclei.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
B. Kotlinski et al., Nucl. Phys. A517 (1990) 365.
F. Brandolini et al., Phys. Rev. C45 (1992) 1549; F. Brandolini et al., Nucl. Phys. A600 (1996) 272; I. Alfter, E. Bodenstedt, W. Knichel, J. Schuth and H. Grawe, Hyperfine Interactions 110 (1997) 313; T. Hartlein, M. Heinebrodt, D. Schwalm and C. Fahlander, Eur. Phys. J. A2 (1998) 253.
M. Oshima et al., Phys. Rev. C52 (1995) 3492 [Erratum Phys. Rev. C55 (1997) 1604]; M. Oshima et al., Nucl. Phys. A557 (1993) 635c.
G. Gervais et al., Nucl. Phys. A624 (1997) 257.
E. Melby, M. Guttormsen, J. Rekstad, A. Schiller, S. Siem and A. Voinov, Phys. Rev. C63 (2001) 044309.
J.J. Carroll et al., Phys. Rev. C43 (1991) 1238; H. Maser et al., Phys. Rev. C53 (1996) 2749; C. Schlegel, P. von Neumann-Cosel, A. Richter and P. Van Isacker, Phys. Lett. 375B (1996) 21.
J.N. Wilson, Phys. Rev. C56 (1997) 2502.
A. Bracco et al., Nucl. Phys. A557(1993) 237c; F. Camera et al., Nucl. Phys. A572 (1994) 401; R.A. Bark et al., Z. Phys. A359 (1997) 5.
V. Nanal et al., Nucl. Phys. A649 (1999) 153c.
K. Knopf and W. Waschkowski, Z. Phys. A357 (1997) 297.
K.T. Hecht and A. Adler, Nucl. Phys. A137 (1969) 129; A. Arima, M. Harvey and K. Shimizu, Phys. Lett. B30 (1969) 517; R.D. Ratna Raju, J.P. Draayer and K.T. Hecht, Nucl Phys. A202 (1973) 433.
J.P. Draayer, K.J. Weeks and K.T. Hecht, Nucl. Phys. A381 (1982) 1; J.P. Draayer and K.J. Weeks, Ann. of Phys. 156 (1984) 41; O. Castaños, J.P. Draayer and Y. Leschber, Ann. of Phys. 180 (1987) 290; O. Castaños, J.P. Draayer and Y. Leschber, Z. Phys. 329 (1988) 33.
C. Bahri and J.P. Draayer, Comput. Phys. Commun. 83 (1994) 59.
T. Beuschel, J.G. Hirsch and J.P. Draayer, Phys. Rev. C61 (2000) 54307.
G. Popa, J.G. Hirsch and J.P. Draayer, Phys. Rev. C62 (2000) 064313.
J.P. Draayer, G. Popa and J.G. Hirsch, Acta Phys. Pol. B32 (2001) 2697.
C. Vargas, J.G. Hirsch, T. Beuschel, J.P. Draayer, Phys. Rev. C61 (2000) 31301.
J.G. Hirsch, C.E. Vargas and J.P. Draayer, Rev. Mex. Fis. 46 Supl. 1 (2000) 54.
C.E. Vargas, J.G. Hirsch and J.P. Draayer, Nucl. Phys. A673 (2000) 219.
C. Vargas, J.G. Hirsch and J.P. Draayer, Phys. Rev. C64 (2001) 034306.
P. Möller, J. Nix, W.D. Myers and N.J. Swiatecki, At. Data Nucl. Data Tables 59 (1995) 185.
C. Vargas, J.G. Hirsch, P.O. Hess and J.P. Draayer, Phys. Rev. C58 (1998) 1488.
H.A. Naqvi and J.P. Draayer, Nucl. Phys. A516 (1990) 351; H.A. Naqvi and J.P. Draayer, Nucl. Phys.. A536 (1992) 297.
Y. Leschber, Hadronic Journal Supplement 3 (1987) 1.
P. Ring and P. Schuck. The Nuclear Many-Body Problem, Springer, Berlin, 1979.
M. Dufour and A.P. Zuker, Phys. Rev. C54 (1996) 1641.
National Nuclear Data Center, http://bnlnd2.dne.bnl.gov
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hirsch, J.G., Popa, G., Vargas, C.E. et al. Microscopic description of odd- and even-mass Er isotopes. Acta Physica Hungarica A 16, 291–301 (2002). https://doi.org/10.1556/APH.16.2002.1-4.32
Received:
Issue Date:
DOI: https://doi.org/10.1556/APH.16.2002.1-4.32