Summary
The relation between the interacting boson model without distinction between protons and neutrons (IBM-1) and the proton-neutron version (IBM-2) is studied. The embedding of the IBM-1 space into the IBM-2 space is analyzed in detail. A general projection method from IBM-2 onto IBM-1 is developed and projections of important operators are given.F-spin broken Hamiltonians in the interacting boson model are studied. TheF-spin tensor decomposition is given for the major terms of the Hamiltonian as well as for theE2 andM1 operators. The relation between the Majorana term of IBM-2 and general proton-neutron interactions is investigated.
Similar content being viewed by others
References
A. Richter: inNuclear Structure 1985, edited byR. Broglia, G. Hagemann andB. Herskind (North Holland, Amsterdam, 1986), p. 469.
D. Bohle, A. Richter, W. Steffen, A. E. L. Dieperink, N. Lo Iudice, F. Palumbo andO. Scholten:Phys. Lett. B,137, 27 (1984).
P. Halse, J. P. Elliott andJ. A. Evans:Nucl. Phys. A,417, 301 (1984).
H. Harter, P. von Brentano andA. Gelberg:Phys. Rev. C,34, 1472 (1986).
H. Harter, P. von Brentano, A. Gelberg andT. Otsuka:Phys. Lett. B,188, 295 (1987).
D. D. Warner:Phys. Rev. Lett.,47, 181 (1981).
P. O. Lipas, E. Hammaren andP. Toivonen:Phys. Lett. B,139, 10 (1984).
P. O. Lipas, P. Toivonen andE. Hammaren:Nucl. Phys. A,469, 348 (1987).
F. Iachello:Phys. Rev. Lett.,53, 1427 (1984).
A. Arima andF. Iachello:Ann. Phys. (N. Y.),99, 253 (1976);111, 201 (1978);123, 468 (1979).
A. Arima, T. Otsuka, F. Iachello andI. Talmi:Phys. Lett. B,66, 205 (1977).
A. Arima andF. Iachello:Adv. Nucl. Phys.,13, 139 (1984).
T. Otsuka, A. Arima, F. Iachello andI. Talmi:Phys. Lett. B,76, 139 (1978);T. Otsuka, A. Arima andF. Iachello:Nucl. Phys. A,309, 1 (1978).
P. O. Lipas:International Summer School on Hyperfine Interactions and Physics with Oriented Nuclei (1985), edited byM. Rotter (Charles University, Prague, 1986), p. 175.
D. D. Warner, R. F. Casten andW. F. Davidson:Phys. Rev. C,24, 1713 (1981).
A. Aprahamian, D. S. Brenner, R. F. Casten, R. L. Gill andA. Piotrowski:Phys. Rev. Lett.,59, 535 (1987).
R. F. Casten andP. von Brentano:Phys. Lett. B,152, 22 (1985).
T. Otsuka:Nucl. Phys. A,368, 244 (1981).
F. Iachello (Editor):Interacting Boson in Nuclear Physics (Plenum, New York, N. Y., 1979).
F. Iachello (Editor):Interacting Bose-Fermi Systems in Nuclei (Plenum, New York, N. Y., 1981).
O. Scholten: Ph.D. thesis, University of Groningen (1980).
G. Puddu, O. Scholten andT. Otsuka:Nucl. Phys. A,348, 109 (1980).
I. Morrison:Phys. Rev. C,23, 1831 (1981).
A. E. L. Dieperink:Prog. Part. Nucl. Phys.,9, 121 (1983).
F. Iachello:Prog. Part. Nucl. Phys.,9, 9 (1983).
A. E. L. Dieperink andI. Talmi:Phys. Lett. B,131, 1 (1983).
W. D. Hamilton, A. Irbäck andJ. P. Elliott:Phys. Rev. Lett.,53, 2469 (1984).
I. Talmi:Rev. Mod. Phys.,34, 259 (1962);R. F. Casten, D. D. Warner, D. S. Brenner andR. L. Gill:Phys. Rev.,47, 1433 (1981);P. Federman andS. Pittel:Phys. Rev. C,20, 820 (1979);I. Hamamoto:Nucl. Phys.,86, 208 (1966);R. A. Sorensen: inIV International Conference on Nuclei Far from Stability, edited byP. G. Hansen andO. B. Nielsen (CERN, 1981), p. 498;N. Zeldes: inIV International Conference on Nuclei far from Stability, edited byP. G. Hansen andO. B. Nielsen (CERN, 1981), p. 93;J. L. Wood: inContemporary Research Topics in Nuclear Physics, edited byD. H. Feng (Plenum, New York, N. Y., 1982), p. 451;K. Heyde andJ. Sau:Phys. Rev. C,33, 1050 (1986).
P. Van Isacker, K. Heyde, J. Jolie andA. Sevrin:Ann. Phys. (N. Y.),171, 253 (1986).
O. Scholten, K. Heyde, P. van Isacker, J. Jolie, J. Moreau, M. Waroquier andJ. Sau:Nucl. Phys.,438, 41 (1985).
J. Lange, K. Kumar andJ. H. Hamilton:Rev. Mod. Phys.,59, 119 (1982).
A. E. L. Dieperink, O. Scholten andD. D. Warner:Nucl. Phys. A,469, 173 (1987).
A. Novoselsky andI. Talmi:Phys. Lett. B,160, 13 (1985).
H. Harter: Ph.D. thesis, University of Cologne (1987).
H. Harter, A. Gelberg andP. von Brentano:Phys. Lett. B,157, 1 (1985).
H. Harter, P. von Brentano, A. Gelberg andR. F. Casten:Phys. Rev. C,32, 631 (1985).
P. von Brentano, A. Gelberg, H. Harter andP. Sala:J. Phys. G,11, 85 (1985).
H. G. Solari, R. Gilmore andM. Vallieres: inNuclear Structure, Reactions and Symmetries, edited byR. A. Meyer andV. Paar (World Scientific, Singapore, 1986), p. 280.
A. Frank andP. van Isacker:Phys. Rev. C,32, 1770 (1985).
P. O. Lipas:Prog. Part. Nucl. Phys.,1, 511 (1983).
D. D. Warner andR. F. Casten:Phys. Rev. Lett.,48, 1385 (1982).
D. D. Warner andR. F. Casten:Phys. Rev. C,28, 1798 (1983).
P. O. Lipas: private communication.
D. D. Warner andR. F. Casten:Phys. Rev. C,28, 1798 (1983).
P. O. Lipas, P. Toivonen andD. D. Warner:Phys. Lett. B,155, 295 (1985).
O. Scholten:Phys. Rev. C,28, 1783 (1983);32, 1729 (1985).
F. Iachello:Phys. Rev. Lett.,53, 1427 (1984).
A. van Egmont andK. Allaart:Phys. Lett. B,113, 275 (1983).
A. Arima, J. Ginocchio andN. Yoshiba:Nucl. Phys. A,384, 112 (1982).
P. von Brentano, W. Frank, A. Gelberg, H. Harter, W. Krips, R. F. Casten, H. G. Börner andB. Krusche:J. Phys. G,14, S129 (1988).
U. Hartmann, D. Bohle, T. Guhr, K.-D. Hummel, G. Kilgus, U. Milkau andA. Richter:Nucl. Phys. A,456, 25 (1987).
H. Harter, P. O. Lipas, R. Nojarov, T. Taigel andA. Faessler:Phys. Lett. B,205, 174 (1988).
R. F. Casten:Phys. Rev. Lett.,54, 1991 (1985);Phys. Lett. B,152, 145 (1985);R. F. Casten, W. Frank andP. von Brentano:Nucl. Phys. A,444, 133 (1985).
P. Sala, P. von Brentano, H. Harter, B. Barrett andR. F. Casten:Nucl. Phys. A,456, 249 (1986).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Harter, H. TheF-spin structure of the Hamiltonian in the proton-neutron interacting boson model. Nuov Cim A 104, 1265–1292 (1991). https://doi.org/10.1007/BF02789572
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02789572