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Prog. Theor. Phys. Vol. 113 No. 4 (2005) pp. 763-783

Tensor Correlation in ⁴He and Its Effect on the Doublet Splitting in ⁵He

Takayuki Myo,^1,* Kiyoshi Katō² and Kiyomi Ikeda³

¹Research Center for Nuclear Physics (RCNP), Osaka University, Ibaraki 567-0047, Japan
²Division of Physics, Graduate School of Science, Hokkaido University, Sapporo 060-0810, Japan
³The Institute of Physical and Chemical Research (RIKEN), Wako 351-0198, Japan

(Received November 21, 2004)

Abstract:

We investigate the role of tensor correlation on the structures of ⁴He and its effect on the doublet splitting in ⁵He. We perform a configuration mixing calculation in the shell model type bases to represent the tensor correlation for ⁴He. It is found that our model describes the characteristics of the tensor correlation, which is represented by an admixture of the 0s_1/2 configuration with a spatially modified 0p_1/2 orbit. For ⁵He, we solve a coupled OCM equation for an extended ⁴He+n model, while taking into account the tensor correlation in the ⁴He cluster. It is shown that the tensor correlation produces the Pauli blocking, in particular, for the J^π=1/2^- state, and its effect causes about half of the p-wave doublet splitting in ⁵He. This indicates that the strength of the effective spin-orbit interaction should be reduced by about half from the conventional one. We obtain a reliable ⁴He-n interaction, including the tensor correlation, which further improves the behavior of the d- and f-wave phase shifts in the ⁴He+n system.

URL : http://ptp.ipap.jp/link?PTP/113/763/
DOI : 10.1143/PTP.113.763

^*E-mail: myo@rcnp.osaka-u.ac.jp

[ Full Text PDF : FREE ACCESS (383K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. Y. Akaishi, Int. Rev. of Nucl. Phys. 4 (1986), 259[Elsevier].
2. H. Kamada et al., Phys. Rev. C 64 (2001), 044001[APS].
3. Y. Akaishi, H. Bandō and S. Nagata, Prog. Theor. Phys. Suppl. No. 52 (1972), 339[PTP].
4. For example, A. Nogga, H. Kamada and W. Glöckle, Phys. Rev. Lett. 85 (2000), 944[APS].
   R. B. Wiringa, S. C. Pieper, J. Carlson and V. R. Pandharipande, Phys. Rev. C 62 (2000), 014001[APS].
5. H. Toki, S. Sugimoto and K. Ikeda, Prog. Theor. Phys. 108 (2002), 903[PTP].
6. S. Sugimoto, K. Ikeda and H. Toki, Nucl. Phys. A 740 (2004), 77[CrossRef].
7. Doté et al., private communication.
8. Y. Akaishi, Nucl. Phys. A 738 (2004), 80[CrossRef].
9. T. Terasawa, Prog. Theor. Phys. 22 (1959), 150[PTP]; ibid. 23 (1960), 87[PTP].
   A. Arima and T. Terasawa, Prog. Theor. Phys. 23 (1960), 115[PTP].
10. S. Nagata, T. Sasakawa, T. Sawada and R. Tamagaki, Prog. Theor. Phys. 22 (1959), 274[PTP].
11. Y. Ogawa, H. Toki, S. Tamenaga, H. Shen, A. Hosaka, S. Sugimoto and K. Ikeda, Prog. Theor. Phys. 111 (2004), 75[PTP].
12. M. Kohno, S. Nagata and R. Tamagaki, Prog. Theor. Phys. 59 (1978), 1230[PTP].
13. A. B. Volkov, Nucl. Phys. 74 (1965), 33[CrossRef].
14. R. Tamagaki, Prog. Theor. Phys. 39 (1968), 91[PTP].
15. H. Furutani et al., Prog. Theor. Phys. Suppl. No. 68 (1980), 193[PTP].
16. H. Furutani, H. Horiuchi and R. Tamagaki, Prog. Theor. Phys. 62 (1979), 981[PTP].
17. K. Ikeda, S. Sugimoto and H. Toki, Nucl. Phys. A 738 (2004), 73[CrossRef].
18. D. Gogny, P. Pires and R. De Tourreil, Phys. Lett. B 32 (1970), 591[CrossRef].
19. S. Aoyama, S. Mukai, K. Katō and K. Ikeda, Prog. Theor. Phys. 93 (1995), 99[PTP].
20. K, Katō, T. Yamada and K. Ikeda, Prog. Theor. Phys. 101 (1999), 119[PTP].
21. T. Myo, S. Aoyama, K. Katō and K. Ikeda, Prog. Theor. Phys. 108 (2002), 133[PTP].
22. S. Saito, Prog. Theor. Phys. Suppl. No. 62 (1977), 11[PTP].
23. V. I. Kukulin, V. M. Krasnopol'sky, V. T. Voronchev and P. B. Sazonov, Nucl. Phys. A 453 (1986), 365[CrossRef].
24. H. Kanada, T. Kaneko, S. Nagata and M. Nomoto, Prog. Theor. Phys. 61 (1979), 1327[PTP].
25. R. Suzuki, T. Myo and K. Katō, nucl-th/0502012[e-print arXiv]; to be published in Prog. Theor. Phys. 113 (2005), No. 6.
26. Th. Stammbach and R. L. Walter, Nucl. Phys. A 180 (1972), 225[CrossRef].
27. T. Myo, S. Aoyama, K. Katō and K. Ikeda, Phys. Rev. C 63 (2001), 054313[APS].

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