Quick Search:
Author: Title/Abstract: Vol./No: Page:

Prog. Theor. Phys. Supplement No.132 (1998) pp. 177-195

[ Full Text PDF : FREE ACCESS (239K) ]

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

Munetake Hasegawa

Laboratory of Physics, Fukuoka Dental College, Fukuoka 814-0193, Japan

(Received November 4, 1998)

Abstract:

The α-like four-nucleon correlations viewed in the single-particle mean field are investigated from the angle neglecting the spatially localized feature of α clustering. First, the energy gain due to the α-like correlations excluding the mean field energy is surveyed in NZ and N>Z nuclei. Second, the ground states of the N=Z f7/2-shell nuclei are described by the multiple α-like cluster model. Third, what residual interactions in the mean field cause the α-like correlations is investigated by a functional effective interaction in the f7/2-shell model. It is known that the T=0 four-nucleon units are preferentially built up on the mean field of the ground states in the NZ f7/2-shell nuclei.


URL : http://ptp.ipap.jp/link?PTPS/132/177/
DOI : 10.1143/PTPS.132.177

[ Full Text PDF : FREE ACCESS (239K) ] Citation:


References:

  1. K. Ikeda et al., Prog. Theor. Phys. Suppl. No. 52 (1972).
  2. Proc. INS-IPCR Int. Symp. on cluster structure of nuclei and transfer reactions induced by heavy ions (Tokyo, 1975), ed. H. Kamitsubo, I. Kohno and T. Marumori (IPCR Cyclotron Progress Report Suppl. 4).
  3. Proc. Int. Conf. on clustering phenomena in nuclei (Maryland, 1975), (ORO-4856-26), ed. D. A. Goldberg, J. B. Marion and S. J. Wallace.
  4. Proc. Int. Conf. on clustering aspects of nuclear structure and nuclear reactions (Winnipeg, 1978), ed. W. T. H. Va Oers, J. P. Sevenne, J. S. C. Mckee and W. R. Falk (AIP, New York, 1978).
  5. K. Ikeda et al., Prog. Theor. Phys. Suppl. No. 68 (1980).
  6. Proc. IV Int. Conf. on clustering aspects of nuclear structure and nuclear reactions (Chester, 1984), ed. J. S. Lilley and M. A. Nagarajan (Reidel, Dordrecht, 1985).
  7. Proc. Int. Symp. on Developments of Nuclear Cluster Dynamics (Sapporo, 1988), ed. Y. Akaishi et al. (World Scientific, 1989).
  8. Proc. V Int. Conf. on clustering aspects of nuclear and subnuclear systems (Kyoto, 1988), ed.  Ikeda, K. Katori and Y. Suzuki.
  9. H. Horiuchi, Nucl. Phys. A522 (1991), 257c.
  10. Clustering Phenomena in Atoms and Nuclei - Proc. Int. Conf. on Nuclear and Atomic Clusters (Turku, Finland, 1991), ed. M. Brenner et al. (Springer, 1992).
  11. Atomic and Nuclear Clusters - Proc. II Int. Conf. (Santorini, Greece, 1993), ed. G. S. Anagnostatos and W. Von Oeretzen (Springer, 1994).
  12. Proc. VI Int. Conf. on Clusters in Nuclear Structure and Dynamics (Strasbourg, 1994), ed. F. Haas (CRN, Strasbourg, 1995).
  13. See other references quoted in Refs. 1) – 12).
  14. F. Michel, G. Reidemeister and S. Ohkubo, Phys. Rev. C34 (1986), 1248[APS]; ibid. C37 (1988), 292[APS]; Phys. Rev. Lett. 57 (1986), 1215[APS].
  15. T. Wada and H. Horiuchi, Phys. Rev. C38 (1988), 2063[APS].
  16. S. Ohkubo, Phys. Rev. C38 (1988), 2377[APS].
  17. T. Yamaya, S. Oh-ami, M. Fujiwara, T. Itahashi, K.  Katori, M. Tosaki, S. Kato, S. Hatori and S. Ohkubo, Phys. Rev. C42 (1990), 1935[APS].
  18. S. Ohkubo and K. Umehara, Prog. Theor. Phys. 80 (1988), 598[PTP].
  19. T. Sakuda and S. Ohkubo, Phys. Rev. C49 (1994), 149[APS]; ibid. C51 (1995), 586[APS]; ibid. C57 (1998), 1184[APS].
  20. T. Marumori and K. Suzuki, Nucl. Phys. A106 (1968), 610.
  21. M. Danos and B. M. Spicer, Z. Phys. 237 (1970), 320.
  22. M. Danos and V. Gillet, Phys. Lett. 34B (1971), 24; Z. Phys. 249 (1972), 294.
  23. A. Arima, V. Gillet and J. Ginocchio, Phys. Rev. Lett. 25 (1970), 1043[APS].
  24. A. Arima and V. Gillet, Ann. of Phys. 66 (1971), 117[CrossRef].
  25. M. Kamimura, T. Marumori and K. Takada, Prog. Theor. Phys. Suppl. No. 52 (1972), 282[PTP].
  26. T. Tomoda and A. Arima, Nucl. Phys. A303 (1978), 219.
  27. A. Arima, Proc. Topical Conf. on physics of medium light nuclei (Firenze, 1977), ed. P. Blasi and R. A. Ricci (Editrice Compositori, Blogna, 1978), p. 19.
  28. K. Itonaga, Prog. Theor. Phys. 66 (1981), 2103[PTP].
  29. M. Hasegawa, S. Tazaki and R. Okamoto, Nucl. Phys. A592 (1995), 45.
  30. M. Hasegawa and S. Tazaki, Nucl. Phys. A633 (1998), 266.
  31. M. C. Mermaz, Phys. Rev. C53 (1996), 1613[APS].
  32. T. Matsuse, M. Kamimura and Y. Fukushima, Prog. Theor. Phys. 53 (1975), 706[PTP].
  33. H. Kihara, M. Kamimura and A. Tohsaki-Suzuki, Proc. Int. Conf. on nuclear structure (Tokyo, 1977), p. 234, p. 235.
  34. T. Yamada, Phys. Rev. C42 (1990), 1432[APS].
  35. M. Cauvin, V. Gillet and F. Soulmagnon, Nucl. Phys. A361 (1981), 192.
  36. G. G. Dussel, R. J. Liotta and R. P. J. Perazzo, Nucl. Phys. A388 (1982), 606.
  37. M. Kamimura, T. Matsuse and K. Takada, Prog. Theor. Phys. 47 (1972), 1537[PTP].
  38. A. Tohsaki, Prog. Theor. Phys. 81 (1989), 370[PTP]; ibid. 88 (1992), 1119[PTP]; ibid. 90 (1993), 871[PTP].
  39. J. Eichler and M. Yamamura, Nucl. Phys. A182 (1972), 33.
  40. S. Szpikowski and M. Trajdos, Nucl. Phys. A272 (1976), 155.
  41. Y. K. Gambhir, P. Ring and P. Schuck, Phys. Rev. Lett. 51 (1983), 1235[APS].
  42. M. Apostol, Phys. Lett. 110A (1985), 141.
    M. Apostol, I. Bulboaca, F. Carstoiu, O. Dumitrescu and M. Horoi, Nucl. Phys. A470 (1987), 64.
  43. P. Curutchet, J. Dukelsky, G. G. Dussel and A. J. Fendrik, Phys. Rev. C40 (1989), 2361[APS].
  44. K. Sugawara-Tanabe and A. Arima, Phys. Lett. B241 (1990), 169.
  45. S. Koh, Nucl. Phys. A560 (1993), 797; ibid. A611 (1996), 1.
  46. M. Hasegawa, S. Tazaki and R. Okamoto, Prog. Theor. Phys. 97 (1997), 417[PTP].
  47. S. Okabe, J. Phys. Soc. Jpn. Supp. 58 (1989), 516[JPSJ].
  48. K. Varga, R. G. Lovas and R. J. Liotta, Nucl. Phys. A550 (1992), 421.
  49. D. R. Bes and R. A. Broglia, Nucl. Phys. 80 (1966), 289[CrossRef]; Proc. Int. School of Physics “Enrico Fermi" (Varenna, 1976), ed. A. Bohrand R. A. Broglia (North-Holland, Amsterdam, 1977), p. 55.
  50. B. Sørensen, Nucl. Phys. A134 (1969), 1.
  51. A. Bohr and B. Mottelson, Nuclear Structure (Benjamin, Reading, 1975), vol. 2, p. 386.
  52. V. Vanagas, O. Katkevius, J. A. C. Alaras, J. Tambergs and J. Ruza, Fizika 22 (1990), 101.
  53. Y. K. Gambhir, P. Ring and P. Schuck, Phys. Rev. Lett. 52 (1984), 312[APS].
  54. C. F. Weizsäcker, Z. Phys. 96 (1935), 431.
  55. H. A. Bethe, Rev. Mod. Phys. 8 (1936), 82[APS].
  56. R. B. Firestone and V. S. Shirley, Table of Isotopes, 8th ed. (Wiley-Interscience, New York, 1996).
  57. W. A. Richter, M. G. Van Der Merwe, R. E. Julies and B. A. Brown, Nucl. Phys. A523 (1991), 325.
  58. E. Caurier, A. P. Zuker, A. Poves and G. Martínez-Pinedo, Phys. Rev. C50 (1994), 225[APS].
  59. K. Langanke, D. J. Dean, P. B. Radha, Y. Alhassid and S. E. Koonin, Phys. Rev. C52 (1995), 718[APS].
  60. M. Honma, T. Mizusaki and T. Otsuka, report in annual meeting of Japan Physical Society in September, 1997 and private communication.
  61. M. Hasegawa and K. Kaneko, submitted to Phys. Rev. C.
  62. K. Kaneko and M. Hasegawa, submitted to Phys. Rev. C.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 113 No. 6 (2005) pp. 1215-1237 :
    An Alternative Understanding of Mass Formulas in Terms of Nuclear Structure
    Munetake Hasegawa and Kazunari Kaneko