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Prog. Theor. Phys. Supplement No.81 (1985) pp. 42-103

[ Full Text PDF : FREE ACCESS (3905K) ]

Chapter III. Production, Structure an Decay of Light p-Shell Λ-Hypernuclei

Toshio Motoba, Hiroharu Bandō,* Kiyomi Ikeda** and Taiichi Yamada***

Laboratory of Physics, Osaka Electro-Communication University, Neyagawa, Osaka 572
*Division of Mathematical Physics, Fukui University, Fukui 910
**Department of Physics, Niigata University, Niigata 950-21
***Department of Applied Mathematics, Osaka University, Toyonaka, Osaka 560

(Received December 28, 1984)

Abstract:

§1. Introduction
§2. Microscopic α + x + Λ three-cluster model
2.1. Model wave functions and equation of motion
2.2. Hamiltonian and the adopted model space
2.3. (K-, π-) reaction cross section
2.4. Electromagnetic transition operators
2.5. Particle-decay rates based on reduced width amplitudes
§3. Results and discussion on 9ΛBe as a typical example
3.1. Energy spectra and structure characteristics
3.2. Production rates through the (K-, π-) reaction
3.3. Electromagnetic properties
3.4. Reduced width amplitudes and particle-decay widths
3.5. Use of the realistic effective ΛN interaction (YNG)
§4. Results and discussion on 6, 7, 8ΛLi, 8ΛBe and 6ΛHe hypernuclei
4.1. The hypernuclei 8ΛLi and 8ΛBe
4.2. The hypernucleus 7ΛLi
4.3. The hypernuclei 6ΛLi and 6ΛHe
§5. The π-mesic decay
5.1. Expressions of the decay rate and the pion angular distribution
5.2. Numerical results and discussion
§6. Particle-decay widths of 9ΛBe by an advanced treatment
6.1. Formulation of the channel-coupled scattering equation
6.2. Interactions and the model space
6.3. The BSA results of the Lπ = 1- structure characteristics
6.4. Results and discussion on the Lπ = 1- resonance states
§7. Summary


URL : http://ptp.ipap.jp/link?PTPS/81/42/
DOI : 10.1143/PTPS.81.42

[ Full Text PDF : FREE ACCESS (3905K) ] Citation:

References:

  1. W. Brückner et al. (Heidelberg-Saclay-Strasbourg Collaboration), Phys. Lett. B 55 (1975), 107[CrossRef]; ibid. 62 (1976), 481[CrossRef]; ibid. 79 (1978), 157[CrossRef].
  2. R. Bertini et al., (H-S-S Collaboration), Phys. Lett. B 83 (197), 306[CrossRef]; ibid. 90 (1980), 375[CrossRef].
  3. R. Bertini et al., (H-S-S Collaboration), Nucl. Phys. A 360 (1981), 315[CrossRef].
  4. R. Bertini et al., (H-S-S Collaboration), Nucl. Phys. A 368 (1981), 365[CrossRef].
    W. Brückner et al., Proc. Kaon Factory Workshop, ed. M. K. Craddock (Triumf, Vancouver, 1979), p. 124.
  5. B. Povh, Rep. Prog. Phys. 39 (1976), 824[IoP STACKS]; Ann. Rev. Nucl. Part. Sci., eds. J. D. Jackson et al. (1978, Annual Reviews Inc., Palo Alto), p. 1; J. Phys. Soc. Jpn. 44 (1978) Suppl., p. 775; Nucl. Phys. A 335 (1980), 233[CrossRef].
  6. B. Povh, Prog. Part. Nucl. Phys. 5 (1981), 245.
  7. M. Bedjiian et al. (CERN-Lyon-Warsaw Collaboration), Phys. Lett. B 94 (1980), 480[CrossRef].
  8. R. E. Chrien, M. May, H. Palevsky, R. Sutter, P. Barnes, S. Dytman, D. Marlow, F. Takeuchi, M. Deutch, R. Cester, S. Bart, E. Hungerford, T. M. Williams, L. S. Pinsky, B. W. Mayes and R. L. Stears, Phys. Lett. B 89 (1979), 31[CrossRef].
  9. M. May et al., Phys. Rev. Lett. 47 (1981), 1106[APS].
  10. a) M. May, Proc. Inter. Conf. on Hypernuclear and Kaon Physics (Heidelberg, 1982), ed. B. Povh, p. 63.
    H. Piekarz, Proc. Inter. Conf. on Hypernuclear and Kaon Physics (Heidelberg, 1982), ed. B. Povh, p. 73.
    b) M. May et al., Phys. Rev. Lett. 51 (1983), 2085[APS].
  11. T. Yamazaki and T. Ishikawa, Proc. Workshop Hypernuclear Physics (KEK, 1982), p. 66.
    T. Yamazaki, T. Ishikawa, K. Yazaki and A. Matsuyama, Phys. Lett. B 144 (1984), 177.
    T. Yamazaki et al., Phys. Rev. Lett. 54 (1985), 102[APS].
  12. D. H. Davis and J. Sacton, in High Energy Physics, Vol. II, ed. E. H. S. Burhop (1967, Academic Press), p. 365.
  13. Proc. Inter. Conf. on Hypernuclear and Kaon Physics (Heidelberg, 1982), ed. B. Povh.
    Proc. Third LAMPF II Workshop, Los Alamos, National Laboratory (1983), eds. J. C. Allred, T. S. Bhartia, K. Ruminer and B. Talley.
  14. A. Gal, J. M. Soper an R. H. Dalitz, Ann. of Phys. 63 (1971), 53[CrossRef]; ibid. 72 (1972), 445[CrossRef]; ibid. 113 (1978), 79[CrossRef].
  15. J. Hüfner, S. Y. Lee and H. A. Weidenmuller, Nucl. Phys. A 234 (1974), 429[CrossRef]; Phys. Lett. B 49 (1974), 409[CrossRef].
  16. A. Bouyssy, Nucl. Phys. A 290 (1977), 324[CrossRef].
  17. A. Gal, Advances in Nucl. Phys., eds. M. Baranger and E. Vogt, Vol. 8 (1975, Plenum, New York), p. 1.
  18. R. H. Dalitz and A. Gal, Ann. of Phys. 116 (1978), 167[CrossRef].
  19. R. H. Dalitz and A. Gal, Phys. Rev. Lett. 36 (1976), 362[APS]; Ann. of Phys. 131 (1981), 314[CrossRef].
  20. R. H. Dalitz, Proc. Int. Conf. Nuclear Structure (1980, Berkeley), Nucl. Phys. A 354 (1981), 101c.
  21. H. Bandō, M. Seki and Y. Shono, Prog. Theor. Phys. 66 (1981), 2118 [PTP][Errata; 68 (1982), 346[PTP]].
  22. H. Bandō, INS-PT-31 (1982), INS, University of Tokyo; Prog. Theor. Phys. Suppl. No. 81 (1985), 1, [PTP](Chapter I); Proc. Inter. Summer School on Nucleon-Nucleon Interaction and Nuclear Many-Body Problems (1982, Changchun, China), eds. S. S. Wu and T. T. S. Kuo (1984, World Scientific Pub.), p. 262.
  23. T. Motoba, H. Bandō and K. Ikeda, Prog. Theor. Phys. 70 (1983), 189[PTP]; ibid. 71 (1984), 222[PTP]; Proc. Inter. Conf. on Hypernuclear and Kaon Physics (Heidelberg, 1982), ed. B. Povh, p. 129; Proc. Inter. Symp. Electromagnetic Properties of Atomic Nuclei, Tokyo Institute of Technology, eds. H. Horie and T. Oda (1984), p. 482.
  24. C. B. Dover, L. Ludeking and G. E. Walker, Phys. Rev. C 22 (1980), 2073[APS].
    C. B. Dover, Proc. 9th Int. Conf. High Energy Physics and Nuclear Structure (1981, Varsailles), Nucl. Phys. A 374 (1982), 359c.
    C. B. Dover and G. E. Walker, Phys. Rep. 89 (1982), 1[CrossRef].
  25. a) E. H. Auerbach, A. J. Baltz, C. B. Dover, A. Gal, S. H. Kahana, L. Ludeking and D. J. Millener, Phys. Rev. Lett. 47 (1981), 1110[APS]; Ann. of Phys. 148 (1983), 381[CrossRef].
    b) D. J. Millener, A. Gal, C. B. Dover and R. H. Dalitz, Preprint BNL-35309 (1984).
  26. K. Ikeda et al., Prog. Theor. Phys. Suppl. No. 52 (1972), 1[PTP]; ibid. No. 68 (1980), 1[PTP].
  27. For example, Proc. Int. Conf. Clustering Aspects of Nuclear Structure and Nuclear Reactions (Winnipeg, 1978) ed. W. T. H. Van Oers et al. (AIP Conf. Proc. No. 47).
  28. L. Majling, M. Sotona, J. Zofka, V. N. Fetisov and R. A. Eramzhyan, Phys. Lett. B 92 (1980), 256[CrossRef].
    J. Zofka et al., Proc. Inter. Conf. on Hypernuclear and Kaon Physics (Heidelberg, 1982), ed. B. Povh, p. 85, p. 91.
    L. Majling, J. Zofka, V. N. Fetisov and R. A. Eramzhyan, Phys. Lett. B 130 (1983), 235; Preprint No. 66, P. N. Lebedev Physical Institute, Moscow (1983).
  29. J. Revai and J. Zofka, Phys. Lett. B 101 (1981), 228[CrossRef].
  30. Zhang Zong-ye, Li Gauge-lie and Shen Jian-ping, Transactions of the New York Academy of Science II-40 (1980), 274
  31. A. R. Bodmer and Q. N. Usumani and J. Carlson, Nucl. Phys. A 422 (1984), 510[CrossRef]; Phys. Rev. C 29 (1984), 684[APS].
  32. R. H. Dalitz and G. Rajasekaran, Nucl. Phys. 50 (1964), 450[CrossRef].
  33. A. R. Bodmer and S. Ali, Nucl. Phys. 56 (1964), 657[CrossRef].
    A. R. Bodmer and J. W. Murphy, Nucl. Phys. 64 (1965), 593[CrossRef]; ibid. 73 (1965), 664[CrossRef].
  34. Y. C. Tang and R. C. Herndon, Phys. Rev. 138 (1965), B637[APS]; Nuovo Cim. 66 (1966), 117.
  35. H. Bando, K. Ikeda and T. Motoba, Prog. Theor. Phys. 69 (1983), 918[PTP].
  36. D. Helderson, Phys. Rev. C 30 (1984), 941[APS].
  37. M. M. Nagels, T. A. Rijken and J. J. de Swart, Phys. Rev. D 12 (1975), 744[APS]; ibid. 15 (1977), 2547[APS]; ibid. 20 (1979), 1633[APS].
  38. Y. Yamamoto and H. Bandō, Prog. Theor. Phys. Suppl. No. 81 (1985), 9, [PTP](Chapter II).
  39. D. L. Hill and J. A. Wheeler, Phys. Rev. 89 (1953), 1102[APS].
    J. J. Griffin and J. A. Wheeler, Phys. Rev. 108 (1957), 311[APS].
    H. Horiuchi, Prog. Theor. Phys. Suppl. No. 62 (1977), 90[PTP].
  40. S. Saito, Prog. Theor. Phys. Suppl. No. 62 (1977), 11[PTP].
  41. S. Saito, Prog. Theor. Phys. 40 (1968), 893[PTP]; ibid. 41 (1969), 705[PTP].
  42. H. Nishioka, S. Saito and M. Yasuno, Prog. Theor. Phys. 62 (1979), 424[PTP].
  43. The compilations quoted in Ref. 17).
  44. F. Ajzenberg-Selove, Nucl. Phys. A 413 (1984), 1 [CrossRef]and references cited therein.
    Table of Isotopes, eds. C. M. Lederer and V. S. Shirley (Wiley-Interscience).
  45. R. H. Dalitz and A. Gal, Phys. Lett. B 64 (1976), 154[CrossRef].
  46. A. Bouyssy, Phys. Lett. B 84 (1979), 41[CrossRef]; ibid. 99 (1981), 373[CrossRef].
  47. S. Okabe, Y. Abe and H. Tanaka, Prog. Theor. Phys. 57 (1977), 866[PTP].
  48. G. P. Gopal et al., Nucl. Phys. B 119 (1977), 362[CrossRef].
  49. For example, N. K. Glendenning, Phys. Rev. 137 (1965), B102[APS].
    H. Horiuchi, K. Ikeda and Y. Suzuki, Prog. Theor. Phys. Suppl. No. 52 (1972), 89[PTP].
  50. K. Ikeda, H. Bandō and T. Motoba, Prog. Theor. Phys. Suppl. No. 81 (1985), 147, [PTP](Chapter V).
  51. Y. Kurihara, Y. Akaishi and H. Tanaka, Prog. Theor. Phys. 71 (1984), 561[PTP].
  52. R. H. Dalitz, Proc. Inter. Conf. Hyperfragments (St. Cergue, 1964), CERN Report 64-1, p. 147.
  53. H. Bandō and H. Takaki, Prog. Theor. Phys. 72 (1984), 106[PTP]; Phys. Lett., to be published.
  54. R. H. Dalitz, Phys. Rev. 112 (1958), 605[APS].
    R. H. Dalitz and L. Liu, Phys. Rev. 116 (1959), 1312[APS].
  55. See §§3 and 4 of this chapter.
  56. Y. Mito and M. Kamimura, Prog. Theor. Phys. 56 (1970), 583[PTP].
    M. Kamimura, Prog. Theor. Phys. Suppl. No. 62 (1977), 236[PTP].
  57. T. Yamada, K. Ikeda, H. Bandō and T. Motoba, Prog. Theor. Phys. 73 (1985), 397[PTP].
  58. A. B. Volkov, Nucl. Phys. 74 (1965), 33[CrossRef].
  59. J. Hiura and R. Tamagaki, Prog. Theor. Phys. Suppl. No. 52 (1972), 25[PTP].
  60. T. Yamada, K. Ikeda, H. Bandō and T. Motoba, to be published.
  61. D. M. Brink, Proc. Int. School of Physics “Enrico Fermi” 1965, Course XXXVI, ed. C. Bloch (Academic Press, 1966), p. 247.

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