Quantum algebraic symmetries in nuclear physics


D. Bonatsos
C. Dascaloyannis
Abstract

The pairing correlations in a single-j nuclear shell are considered. It is proven that a simple boson mapping in terms of q-defonned bosons exists, which reproduces correctly both the commutation relations and the energy up to first order corrections, the parameter q being connected to the size of the shell. An exact solution in terms of a generalized deformed oscillator is also found

Article Details
  • Section
  • Oral contributions
References
L. C. Biedenharn, J. Phys. A 22 (1989) L873
A. J. Macfarlane, J. Phys. A 22 (1989) 4581
P. P. Raychev, R. P. Roussev and Yu. F. Smirnov, J. Phys. G 16 (1990) L137
D. Bonatsos, E. N. Argyres, S. B. Drenska, P. P. Raychev, R. P. Roussev and Yu. F. Smirnov, Phys. Lett. 251B (1990) 477
D. Bonatsos, S. B. Drenska, P. P. Raychev, R. P. Roussev and Yu. F. Smirnov, J. Phys. G17 (1991) L67
D. Bonatsos, P. P. Raychev, R. P. Roussev and Yu. F. Smirnov, Chem. Phys. Lett. 175 (1990) 300
D. Bonatsos, P. P. Raychev and A. Faessler, Chem. Phys. Lett. 178 (1991) 221
D. Bonatsos, E. N. Argyres and P. P. Raychev, J. Phys. A24 (1991) L403
D. Bonatsos, Ε. Ν. Argyres, S. Β. Drenska, P. P. Raychev, R. P. Roussev, Yu. F. Smirnov and A. Faessler, in 2nd Hellenic Symposium in Nuclear Physics, ed. G. S. Anagnostatos, D. Bonatsos and E. Mavrommatis (Athens, 1992) p. 168
D. Bonatsos, A. Faessler, P. P. Raychev, R. P. Roussev and Yu. F. Smirnov, J. Phys. A25 (1992) 3275
C. Daskaloyannis, J. Phys. A24 (1991) L789
C. Daskaloyannis, J. Phys. A25 (1992) 2261
D. Bonatsos and C. Daskaloyannis, Phys. Rev. A 45 (1992) R6153
D. Bonatsos, C. Daskaloyannis and K. Kokkotas, J. Phys. A24 (1991) L795
D. Bonatsos, C. Daskaloyannis and K. Kokkotas, in 2nd Hellenic Symposium on Nuclear Physics, ed. G. S. Anagnostatos, D. Bonatsos and E. Mavrommatis (Athens, 1992) p. 195
D. Bonatsos, C. Daskaloyannis and K. Kokkotas, Phys. Rev. A, in press
D. Bonatsos, C. Daskaloyannis and K. Kokkotas, Chem. Phys. Lett., in press
D. Bonatsos, A. Klein and C. T. Li, Nucl. Phys. A425 (1984) 521
D. Bonatsos and A. Klein, Nucl. Phys. A469 (1987) 253
D. P. Menezes, D. Bonatsos and A. Klein, Nucl. Phys. A474 (1987) 381
A. Klein and E. R. Marshalek, Rev. Mod. Phys. 63 (1991) 375
F. Iachello and A. Arima, The Interacting Boson Model (Cambridge University Press, Cambridge, 1987)
D. Bonatsos, Interacting Boson Models of Nuclear Structure (Clarendon, Oxford, 1988)
D. Bonatsos, J. Phys. A25 (1992) L101
D. Bonatsos and C. Daskaloyannis, Phys. Lett. B278 (1992) 1
D. Bonatsos, A. Faessler, P. P. Raychev, R. P. Roussev and Yu. F. Smirnov, J. Phys. A25 (1992) L267