O(12) limit and complete classification of symmetry schemes in proton-neutron interacting boson model

Pramana - Journal of Physics

Volumn 60, Issue 1, 2003, Pages 59-74

  Kota, V K B ^a  

^a PHYSICAL RESEARCH LABORATORY   (India)

Author keywords

Complete classification; F spin; F spin breaking; Good MF; O(12) limit; O(12) O(2) O(10); O(12) O(6) O(2); PnIBM; Proton neutron interacting boson model; Symmetry limits

Indexed keywords

ALGEBRA; MATHEMATICAL MODELS; NEUTRONS; PROTONS;

QUANTUM NUMBER;

HIGH ENERGY PHYSICS;

EID: 0037239029     PISSN: 03044289     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02705069     Document Type: Article

References (51)

1. F Iachello and A Arima, The interacting Boson model (Cambridge University Press, Cambridge, 1987)
2. I Talmi, Simple models of complex nuclei: The shell model and the interacting Boson model (Harwood, New York, 1993)
3. K L G Heyde, The nuclear shell model, 2nd edition (Springer, Berlin, 1994)
4. W Greiner and J A Maruhn, Nuclear models (Springer, Heidelberg, 1996)
5. P Van Isacker, K Heyde, J Jolie and A Sevrin, Ann. Phys. (N.Y.) 171, 253 (1986)
6. A Frank and P Van Isacker, Algebraic methods in molecular and nuclear physics (Wiley, New York, 1994)
7. V K B Kota, Ann. Phys. (N.Y.) 265, 101 (1998)
8. J E Garcia-Ramos and P Van Isacker, Ann. Phys. (N.Y.) 274, 45 (1999)
9. V K B Kota, Ann. Phys. (N.Y.) 280, 1 (2000)
10. Q Z Hahn, H Z Sun and G H Li, Phys. Rev. C35, 784 (1987)
11. P Halse, P Van Isacker and B R Barrett, Phys. Lett. B363, 145 (1995)
12. P Van Isacker and D D Warner, Phys. Rev. Lett. 78, 3266 (1997)
13. V K B Kota, Pramana - J. Phys. 51, 727 (1998)
14. V K B Kota, J. Phys. G24, 1535 (1998)
15. D Kusnezov, Phys. Rev. Lett. 79, 537 (1997)
16. A M Shirokov, N A Smirnova and Yu F Smirnov, Phys. Lett. B434, 237 (1998)
17. A M Shirokov, N A Smirnova, Yu F Smirnov, O Castonos and A Frank, in Nuclear models 1998 edited by G Lo Bianco (University of Camerino Press, Camerino, Italy, 1999)
18. P Cejnar and J Jolie, Phys. Rev. E58, 387 (1998); E61, 6237 (2000)
19. P Cejnar and J Jolie, Phys. Rev. E58, 387 (1998); E61, 6237 (2000)
20. F Iachello, Phys. Rev. Lett. 85, 3580 (2000); 87, 052502 (2001).
21. F Iachello, Phys. Rev. Lett. 85, 3580 (2000); 87, 052502 (2001).
22. Yu F Smirnov, N A Smirnova and P Van Isacker, Phys. Rev. C61, 041302 (2000)
23. P Van Isacker, Phys. Rev. Lett. 83, 4269 (1999)
24. K H Kim, A Gelberg, T Mizusaki, T Otsuka and P von Brentano, Nucl. Phys. A604, 163 (1996)
25. D Bohle et al, Phys. Lett. B137, 27 (1984)
26. A Richter, Prog. Part. Nucl. Phys. 34, 261 (1995)
27. U Kneissl, H H Pitz and A Zilges, Prog. Part. Nucl. Phys. 37, 349 (1996)
28. P von Brentano et al, Phys. Rev. Lett. 76, 2029 (1996)
29. H Maser et al, Phys. Rev. C54, R2129 (1996)
30. N Pietralla et al, Phys Rev. C58, 796 (1998); Phys. Rev. Lett. 83, 1303 (1999); 84, 3375 (2000)
31. N Pietralla et al, Phys Rev. C58, 796 (1998); Phys. Rev. Lett. 83, 1303 (1999); 84, 3375 (2000)
32. N Pietralla et al, Phys Rev. C58, 796 (1998); Phys. Rev. Lett. 83, 1303 (1999); 84, 3375 (2000)
33. A Novoselski and I Talmi, Phys. Lett. B160, 13 (1985)
34. O Engel, A Richter and H J Wortche, Nucl. Phys. A565, 596 (1993)
35. A Wolf, O Scholten and R F Casten, Phys. Lett. B312, 372 (1993)
36. V K B Kota, in Structure of atomic nuclei edited by L Satpathy (Narosa Publishing, New Delhi, India, 1999) p. 203
37. V S Lac, I P Elliott and J A Evans, Phys. Lett. B394, 231 (1997)
38. L0
39. V K B Kota and Y D Devi, Nuclear shell model and the interacting boson model: Lecture notes for practitioners (IUCDAEF-CC, Kolkata, India, 1996)
40. B G Wybourne, Symmetry principles in atomic spectroscopy (John Wiley and Sons, New York, 1970)
41. D E Littlewood, The theory of group characters and matrix representations of groups (Oxford University Press, Oxford, London, 1950)
42. V K B Kota, Pramana - J. Phys. 48, 1035 (1997)
43. P C Sood, D M Headly and R K Sheline, At. Data Nucl. Data Tables 47, 89 (1991); 51, 273 (1992)
44. P C Sood, D M Headly and R K Sheline, At. Data Nucl. Data Tables 47, 89 (1991); 51, 273 (1992)
45. V K B Kota, J. Math. Phys. 38, 6639 (1997)
46. F(2) symmetry schemes [1,3].
47. Y Alhassid, A Novoselsky and N Whelan, Phys. Rev. Lett. 65, 2971 (1990)
48. N Whelan, Y Alhassid and A Leviatan, Phys. Rev. Lett. 71, 2208 (1993)
49. N Whelan and Y Alhassid, Nucl. Phys. A556, 42 (1993)
50. J Jolie, R F Casten, P von Brentano and V Werner, Phys. Rev. Lett. 87, 162501 (2001)
51. E Canetta and G Maino, Phys. Lett. B483, 55 (2000)