---

Prog. Theor. Phys. Vol. 66 No. 6 (1981) pp. 2103-2117

Shell and Alpha-Cluster-Like States in ⁴⁴Ti

Kazunori Itonaga

Department of Applied Mathematics, Faculty of Engineering Science, Osaka University, Toyonaka 560

(Received June 23, 1981)

Abstract:

The structure of ⁴⁴Ti is studied in the extended model which combines the shell model with the ⁴⁰Ca-α cluster model for both the positive-parity and the negative-parity states. When the negative-parity shell-model bases are constructed, a special care is paid to eliminate the spurious states due to the center-of-mass excitations from them. The quasi-rotational feature of the ground band and the highly excited ⁴⁰Ca-α resonance states are well reproduced. The enhanced B(E2) values and the α-transfer spectroscopic factor S_α^L of the ground band and also the ⁴⁰Ca-α resonance states above the α-threshold are well explained in the present model. The lowest J^π=1^- state is predicted at 3.76MeV and the α-cluster-like J^π=1^- state is predicted at 12.2MeV in good agreement with the experiment. Calculated S_α^L for the negatice-parity yrast levels are too large compared with the experiment.

URL : http://ptp.ipap.jp/link?PTP/66/2103/
DOI : 10.1143/PTP.66.2103

[ Full Text PDF : FREE ACCESS (712K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

References:

1. See, for example, H. T. Fortune, Proceedings of the International Conference on Nuclear Structure (Tokyo, 1977), p. 99 and references cited therein.
2. T. Motoba and K. Itonaga, Prog. Theor. Phys. Suppl. No. 65 (1979), 136[PTP].
3. J. B. McGrory, Phys. Rev. C 8 (1973), 693[APS]; Phys. Lett. B 47 (1973), 481[CrossRef].
4. K. H. Bhatt and J. B. McGrory, Phys. Rev. C 3 (1971), 2293[APS].
5. J. C. McCullen, B. F. Bayman and L. Zamick, Phys. Rev. 134 (1964), B515[APS].
6. M. Hasegawa, Prog. Theor. Phys. 56 (1976), 830[PTP].
7. C. L. Bennett, Nucl. Phys. A 284 (1977), 301[CrossRef].
8. P. M. Endt and C. van der Leun, Nucl. Phys. A 310 (1978), 1[CrossRef].
9. W. R. Dixon, R. S. Storey and J. J. Simpson, Phys. Rev. C 15 (1977), 1896[APS].
10. J. Rapaport, J. B. Ball, R. L. Auble, T. A. Belote and W. E. Derenbusch, Phys. Rev. C 5 (1972), 453[APS].
11. J. J. Kolata, J. W. Olness and E. K. Warburton, Phys. Rev. C 10 (1974), 1663[APS].
12. J. J. Simpson, W. Dünnweber, J. P. Wurm, P. W. Green, J. A. Kuehner, W. R. Dixon and R. S. Storey, Phys. Rev. C 12 (1975), 468[APS].
13. R. M. DeVries, Phys. Rev. Lett. 30 (1973), 666[APS].
14. U. Strohbusch, C. L. Fink, B. Zeidman, H. W. Fulbright, R. G. Markham and R. N. Horoshko, Phys. Rev. C 9 (1974), 965[APS].
15. H. W. Fulbright, C. L. Bennett, R. A. Lindgren, R. G. Markham, S. C. McGuire, G. C. Morrison, U. Strohbusch and J. Toke, Nucl. Phys. A 284 (1977), 329[CrossRef].
16. D. Frekers, H. Eickhoff, H. Löhner, K. Poppensieker, R. Santo and C. Wiezorek, Z. Phys. A 276 (1976), 317.
17. R. Stock, G. Gaul, R. Santo, M. Bernas, B. Harvey, D. Hendrie, J. Mahoney, J. Sherman, J. Steyaert and M. Zisman, Phys. Rev. C 6 (1972), 1226[APS].
18. H. Friedrich and K. Langanke, Nucl. Phys. A 252 (1975), 47[CrossRef].
19. W. Sünkel, Phys. Lett. B 65 (1976), 419[CrossRef].
20. H. Kihara, M. Kamimura and A. Tohsaki-Suzuki, Proceedings of the International Conference on Nuclear Structure, Contributed Papers (Tokyo, 1977), p. 234, p. 235.
21. T. Tomoda, private communication.
    A. Arima, Proceedings of the Topical Conference on Physics of Medium Light Nuclei, Firenze, 1977 (Editorice Compositori, Bologna, 1978), p. 19.
22. S. G. Nilsson, Dan. Mat. Fyz. Medd. 29, No. 16 (1955).
23. J. P. Elliott, Proc. Roy. Soc. A 245 (1958), 128; ibid. 245 (1958), 562.
24. H. Horiuchi, Prog. Theor. Phys. Suppl. No. 62 (1978), 90[PTP].
25. S. Saito, Prog. Theor. Phys. 41 (1969), 705[PTP]; Prog. Theor. Phys. Suppl. No. 62 (1978), 11[PTP].
26. M. Kamimura and T. Matsuse, Prog. Theor. Phys. 51 (1974), 438[PTP].
27. T. T. S. Kuo and G. E. Brown, Nucl. Phys. A 114 (1968), 241[CrossRef].
28. K. Andō, private communication.
29. A. Hasegawa and S. Nagata, Prog. Theor. Phys. 45 (1971), 241[PTP].
    Y. Yamamoto, Prog. Theor. Phys. 52 (1974), 471[PTP].
30. T. A. Belote, A. Sperdute and W. W. Buechner, Phys. Rev. 139 (1965), B80[APS].
31. G. Brown, A. Denning and J. G. B. Haigh, Nucl. Phys. A 225 (1974), 267[CrossRef].
32. W. J. Gerace and A. M. Green, Nucl. Phys. A 113 (1968), 641[CrossRef].
33. S. Adachi and S. Yoshida, Nucl. Phys. A 306 (1978), 53[CrossRef].
34. J. Mano and S. Suekane, Prog. Theor. Phys. 63 (1980), 459[PTP].
35. J. H. E. Mattauch, W. White and A. H. Wapstra, Nucl. Phys. 67 (1965), 1[CrossRef].
36. J. Britz, A. Chevallier, J. Chevallier and B. Haas, Nucl. Phys. A 262 (1976), 189[CrossRef].
37. H. Bandō, Nucl. Phys. A 261 (1976), 269[CrossRef].

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 73 No. 5 (1985) pp. 1172-1190 :

   Microscopic Study of the Dependence of the Light Ion Potential on the Projectile Mass Number

   Hisashi Horiuchi

2. Progress of Theoretical Physics Supplement No.132 (1998) pp. 1-6 :

   Chapter 1. Introduction

   Shigeo  Ohkubo, Mamoru  Fujiwara and Peter  E. Hodgson

3. Progress of Theoretical Physics Supplement No.132 (1998) pp. 7-72 :

   Chapter 2. Local Potential Approach to the Alpha-Nucleus Interaction and Alpha-Cluster Structure in Nuclei

   Francis Michel, Shigeo Ohkubo and Guy Reidemeister

4. Progress of Theoretical Physics Supplement No.132 (1998) pp. 103-133 :

   Chapter 4. Microscopic Study of Coexistence of Alpha-Cluster and Shell-Model Structure in the ⁴⁰Ca–⁴⁴Ti Region

   Toshimi Sakuda and Shigeo Ohkubo

5. Progress of Theoretical Physics Supplement No.132 (1998) pp. 177-195 :

   Chapter 6. Alpha-Like Four-Nucleon Correlations Viewed in Single-Particle Mean Field

   Munetake Hasegawa

---

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.