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Prog. Theor. Phys. Vol. 64 No. 3 (1980) pp. 942-958

[ Full Text PDF : FREE ACCESS (1184K) ]

Pionic Properties of Finite Nuclei

Tsutomu Ishigami and Toshitake Kohmura

Institute of Physics, University of Tsukuba, Ibaraki 305

(Received August 13, 1979; Revised February 25, 1980)

Abstract:

Dynamics of nuclei which is induced by pions exchanged between nucleons is studied in view of pion condensation. Formulating a wave equation for pions propagating in a nuclear system, we investigate pionic eigenmodes of the nucleus. The threshold for pion condensation severely depends on the nuclear correlation parameter g'. We obtain the critical correlation parameter g'c=0.58 for pion condensation in 16O, while the physical value of g' in the nucleus is estimated to be in the region 0.8\gtrsimg' \gtrsim0.5.
In the case g' < g'c, the shell model state is unstable for some pionic eigenmodes and pions are condensed. In the coherent state approximation, we express a nuclear Hartree state, in which some symmetries are broken due to the Hartree potential induced by the pion field. A physical nuclear state is obtained by projecting the Hartree state onto an eigenstate of nuclear quantum numbers. Some excited states which are pionic-analogue to the ground state are predicted from the projection.


URL : http://ptp.ipap.jp/link?PTP/64/942/
DOI : 10.1143/PTP.64.942

[ Full Text PDF : FREE ACCESS (1184K) ] Citation:

References:

  1. H. A. Bethe, Ann. Rev. Nucl. Sci. 21 (1971), 93.
  2. M. Chemtob and M. Rho, Nucl. Phys. A 163 (1971), 1[CrossRef].
  3. A. Arima, G. E. Brown, H. Hyuga and M. Ichimura, Nucl. Phys. A 205 (1973), 27[CrossRef].
  4. D. S. Koltun and A. Reitan, Phys. Rev. 155 (1967), 1139[APS].
  5. H. Miyazawa, Prog. Theor. Phys. 6 (1951), 801[PTP]; J. Phys. Soc. Jpn. 19 (1964), 1764[JPSJ].
  6. M. Ericson, A. Figureau and C. Thevenet, Phys. Lett. B 45 (1973), 19[CrossRef].
    J. Delorme, M. Ericson, A. Figureau and C. Thevenet, Ann. of Phys. 102 (1976), 273[CrossRef].
  7. K. Ohta and M. Wakamatsu, Phys. Lett. B 51 (1974), 325[CrossRef]; ibid. 51 (1974), 337[CrossRef]; Nucl. Phys. A 234 (1974), 445[CrossRef].
    M. Rho, Nucl. Phys. A 231 (1974), 493[CrossRef].
  8. A. B. Migdal, Sov. Phys. -JETP 34 (1972), 1184; Nucl. Phys. A 210 (1973), 421[CrossRef]; Rev. Mod. Phys. 50 (1978), 108[APS].
  9. R. F. Sawyer, Phys. Rev. Lett. 29 (1972), 382[APS].
    D. J. Scalapino, Phys. Rev. Lett. 29 (1972), 386[APS].
    R. F. Sawyer and D. J. Scalapino, Phys. Rev. D 7 (1973), 297[APS].
  10. W. Weise and G. E. Brown, Phys. Lett. B 48 (1974), 297[CrossRef].
  11. R. G. Palmer, E. Tosatti and P. W. Anderson, Nature Phys. Sci. 245 (1973), 119.
    T. Takatsuka, K. Tamiya, T. Tatsumi and R. Tamagaki, Prog. Theor. Phys. 59 (1978), 1933[PTP].
  12. T. Matsui, K. Sakai and M. Yasuno, Prog. Theor. Phys. 57 (1977), 1453[PTP]; ibid. 60 (1978), 442[PTP].
  13. E. E. Sapershtein and M. A. Troitskii, Sov. J. Nucl. Phys. 22 (1975), 132.
    E. E. Sapershtein, S. A. Tolokonnikov and S. A. Fayans, JETP Lett. 22 (1975), 258; Sov. J. Nucl. Phys. 25 (1977), 510.
  14. A. B. Migdal, JETP Lett. 19 (1974), 284.
    T. E. O. Ericson and C. Wilkin, Phys. Lett. B 57 (1975), 345[CrossRef].
    H. J. Pirner, Phys. Lett. B 69 (1974), 170[CrossRef].
  15. P. Ring and J. Speth, Phys. Lett. B 44 (1973), 477[CrossRef].
    J. Speth, L. Zamick and P. Ring, Nucl. Phys. A 232 (1974), 1[CrossRef].
  16. G. E. Brown, S. O. Bäckman, E. Oset and W. Weise, Nucl. Phys. A 286 (1977), 191[CrossRef].
  17. S. O. Bäckman, O. Sjöberg and A. D. Jackson, Nucl. Phys. A 321 (1979), 10[CrossRef].
    S. O. Bäckman and W. Weise, Phys. Lett. B 55 (1975), 1[CrossRef].
  18. S. O. Backman and W. Weise, Mesons in Nuclei, edited by M. Rho and D. H. Wilkinson (North-Holland, Amsterdam, 1979), chap. 28.
  19. M. Gyulassy and W. Greiner, Ann. of Phys. 109 (1977), 485[CrossRef].
  20. M. Ericson and J. Delorme, Phys. Lett. B 76 (1978), 241.
  21. H. Toki and W. Weise, Phys. Rev. Lett. 42 (1979), 1034[APS].
  22. T. Kohmura, K. Kobayashi, and K. Shoda, to be published.
  23. G. E. Brown and W. Weise, Phys. Rep. 22 (1975), 279[CrossRef].
  24. J. Meyer-ter-Vehn, Z. Phys. A 287 (1978), 241.
  25. K. Sawada and N. Fukuda, Prog. Theor. Phys. 25 (1961), 653[PTP].
  26. J. D. Providencia, Nucl. Phys. A 290 (1977), 435[CrossRef].
    D, Schütte and J. D. Providencia, Nucl. Phys. A 282 (1977), 518[CrossRef].
  27. See, for example, D. J. Rowe, Nuclear Collective Motion (Models and Theory), (Methven, 1970).
  28. M. Ericson and T. E. O. Ericson, Ann. of Phys. 36 (1966), 323[CrossRef].
    G. Baym and G. E. Brown, Nucl. Phys. A 247 (1975), 395[CrossRef].
  29. A. B. Migdal, Theory of Finite Fermi Systems and Applications to Atomic Nuclei (Interscience, London, 1967).
  30. B. Giraud and P. U. Sauer, Nucl. Phys. A 154 (1970), 587[CrossRef].
  31. K. Shoda et al., contributed paper to International Conference on High Energy Physics and Nuclear Structure, Vancouver (1979).

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 71 No. 2 (1984) pp. 327-338 :
    Momentum-Transfer Dependence of Nuclear Spin-Isospin Transitions
    Kiyoshi Kobayashi and Toshitake Kohmura

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