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Prog. Theor. Phys. Supplement No.52 (1972) pp. 89-172
Chapter III. Molecule-Like Structures in Nuclear System
Hisashi Horiuchi,
Kiyomi Ikeda* and
Yasuyuki Suzuki*
Research Institute for Fundamental Physics, Kyoto University
*Department of Physics, Niigata University
(Received December 15, 1972)
Abstract:
Contents
§1 Introduction–Development of the molecular viewpoint–
§2 Confirmation of the di-molecule-like structures of α-12C and α-16O through their decay widths
2.1 Di-molecule-like structure and decay width
2.2 The reduced width and its evaluational method
2.3 The reduced widths obtained from the various kinds of model wave functions
2.4 Comparison w ith experiments and summary
§3 Inversion doublet and the structure of K = 0+ band in 16O and 20Ne
3.1 The indication of the experimental gap energies
3.2 The estimation of the gap energy with the molecular model
3.3 Microscopic studies on the gap energy
3.4 Summary and further problem
§4 Alpha-chain structures in nuclei
4.1 Characteristic properties of the noted levels in 12C and 16O
(A) The two anomalous levels in 12C
(B) The anomalous rotational band in 16 O
4.2 Study of the energetic properties with the alpha-particle model
4.3 nα-chain structures
§5 Multi-molecular structures with the linear chain configuration
5.1 The interactions between an alpha-particle and a residual core in the contact region
5.2 The energies of the three-and-four-body linear chain structures
5.3 The stabilities of the linear chain structures
5.4 Prolongation of the linear molecule-like structure due to the Coulomb interaction
§6 Summary on the molecule-like structures
Appendices
1. Calculational method of the matrix elements necessary for the evaluation of the reduced width from the model wave function
2. Correction factor for the normalization constant
URL :
http://ptp.ipap.jp/link?PTPS/52/89/
DOI : 10.1143/PTPS.52.89
References:
- H. Horiuchi and K. Ikeda, Prog. Theor. Phys. 40 (1968), 277[PTP].
- K. Ikeda, N. Takigawa and H. Horiuchi, Prog. Theor. Phys. Suppl. Extra Number (1968), 464[PTP].
- R. H. Davis, Proceedings of the Third Conference on Reactions between Complex Nuclei, Asilomar, 1963 (University of California Press, Berkeley), p. 67.
-
W. E. Hunt, M. K. Mehta and R. H. Davis, Phys. Rev. 160 (1967), 782[APS].
-
A. E. Litherland, J. A. Kuehner, H. E. Gove, M. A. Clark and E. Almqvist, Phys. Rev. Lett. 7 (1961), 98[APS].
J. A. Kuehner and E. Almqvist, Can. J. Phys. 45 (1967), 1605.
-
A. Arima, H. Horiuchi and T. Sebe, Phys. Lett. B 24 (1967), 129[CrossRef].
-
H. Morinaga, Phys. Rev. 101 (1956), 254[APS].
-
H. Morinaga, Phys. Lett. 21 (1966), 78[CrossRef].
-
P. Chevallier, F. Scheibling, G. Goldring, I. Plesser and M. W. Sachs, Phys. Rev. 160 (1967), 827[APS].
- Y. Suzuki, H. Horiuchi and K. Ikeda, Prog. Theor. Phys. 47 (1972), 1517[PTP].
-
T. A. Tombrello and G. C. Phillips, Phys. Rev. 122 (1961), 224[APS].
- A. I. Baz, Adv. Phys. 8 (1959), 349.
-
B. F. Bayman and A. Bohr, Nucl. Phys. 9 (1958/59), 596[CrossRef].
- H. Horiuchi and Y. Suzuki, Prog. Theor. Phys. 49 (1973), 1974[PTP].
-
For example, N. K. Glendenning, Phys. Rev. 137 (1965), B102[APS].
- M. Kawai and K. Yazaki, Prog. Theor. Phys. 38 (1967), 850[PTP].
M. Igarashi, M. Kawai and K. Yazaki, Prog. Theor. Phys. 42 (1969), 245[PTP].
- A. N. Boyarkina, Izv. Akad. Nauk SSSR (ser. fig.) 28 (1964), 337.
F. C. Barker, Nucl. Phys. 83 (1966), 418[CrossRef].
- J. P. Elliott, in Selected Topics in Nuclear Theory, ed. F. Janouch (IAEA, Vienna, 1963).
-
T. Lauritsen and F. Ajzenberg-Selove, Nucl. Phys. 78 (1966), 1[CrossRef].
- D. M. Brink, Proc. Int. Sch. Phys. Enrico Fermi Course 36 (1966), p. 247.
-
J. L. Russell, Jr., G. C. Phillips and C. W. Reich, Phys. Rev. 104 (1956), 135[APS].
-
F. Ajzenberg-Selove, Nucl. Phys. A 166 (1971), 1[CrossRef].
-
A. B. Volkov, Nucl. Phys. 74 (1965), 33[CrossRef].
-
D. M. Brink and E. Boeker, Nucl. Phys. A 91 (1967), 1[CrossRef].
-
E. Boeker, Nucl. Phys. A 91 (1967), 27[CrossRef].
-
Y. Abgrall, G. Baron, E. Caurier and G. Monsonego, Nucl. Phys. A 131 (1969), 609[CrossRef].
- For example, G. Herzberg, Molecular Spectra and Molecular Structure III (D. Van Nostrand Company Inc., 1945).
- A. Bohr and B. R. Mottelson, Nuclear News 1962.
-
S. Gorodetzky, P. Mennrath, P. Chevallier, F. Scheibling and G. Sutter, Phys. Lett. 1 (1962), 14[CrossRef].
E. B. Carter, G. E. Mitchell and R. H. Davis, Phys. Rev. 133 (1964), B1421[APS];
ibid. 133 (1964), B1434[APS].
-
W. H. Bassichis and G. Ripka, Phys. Lett. 15 (1965), 320[CrossRef].
-
G. E. Brown and A. M. Green, Nucl. Phys. 75 (1966), 401[CrossRef].
- J. Eichler and T. Marumori, Kgl. Dan. Vid. Selsk. Mat. Fys. Medd. 35 (1966), No. 7.
- J. Hiura, Y. Abe, S. Saito and O. Endo, Prog. Theor. Phys. 42 (1969), 555[PTP].
- K. Bethge, Ann. Rev. Nucl. Sci. 19 (1969), 255.
- R. Middleton, Proceedings of the International Conference on Nuclear Reaction Induced by Heavy Ions (Heidelberg, 1969), p. 263.
A. A. Ogloblin, Proceedings of the International Conference on Nuclear Reaction Induced by Heavy Ions (Heidelberg, 1969), p. 231.
-
D. L. Hill and J. A. Wheeler, Phys. Rev. 89 (1952), 1102[APS].
J. J. Griffin and J. A. Wheeler, Phys. Rev. 108 (1957), 311[APS].
-
V. V. Balashov and I. Rotter, Nucl. Phys. 61 (1965), 138[CrossRef].
-
C. W. Cook, W. A. Fowler, C. C. Lauritsen and T. Lauritsen, Phys. Rev. 111 (1958), 567[APS].
D. H. Wilkinson, D. E. Alburger and A. Gallmann, Phys. Rev. 130 (1963), 1953[APS].
-
See Chapter I and II, and also for example S. A. Afzal, A. A. Z. Ahmad and S. Ali, Rev. Mod. Phys. 41 (1967), 247[APS].
-
S. Cohen and D. Kurath, Nucl. Phys. 73 (1965), 1[CrossRef].
- M. Harvey, Advances in Nuclear Physics, M. Baranger and E. Vogt, eds. (Plenum Press, New York, 1968), Vol. 1, p. 67.
G. Ripka, Advances in Nuclear Physics, M. Baranger and E. Vogt, eds. (Plenum Press, New York, 1968), Vol. 1, p. 183.
-
Y. Akiyama, A. Arima and T. Sebe, Nucl. Phys. A 138 (1969), 273[CrossRef].
- E. C. Halbert, J. B. McGrory, B. H. Wildenthal and S. P. Pandya, Advances in Nuclear Physics, M. Baranger and E. Vogt, eds. (Plenum Press, New York, 1971) Vol. 4, p. 316.
-
R. Middleton, J. D. Garrett and H. T. Fortune, Phys. Rev. Lett. 27 (1971), 950[APS].
K. Nagatani, M. J. Le Vine, T. A. Belote and A. Arima, Phys. Rev. Lett. 27 (1971), 1071[APS].
- B. Imanishi, Phys. Lett. B 27 (1968), 267.
B. Imanishi, Nucl. Phys. A 125 (1969), 33[CrossRef].
- D. A. Bromley, Proc. Int. Sch. Phys. Enrico Fermi Course 40, edited by M. Jean (Academic Press, 1969).
- A. Tohsaki, F. Tanabe and R. Tamagaki, Prog. Theor. Phys. 45 (1971), 980[PTP].
- E. W. Vogt, Proceedings of the International Conference on Properties of Nuclear States (Montreal, 1969), p. 5.
-
R. E. Malmin, R. H. Siemssen, D. A. Sink and P. P. Singh, Phys. Rev. Lett. 28 (1972), 1590[APS].
R. Stokstad, D. Shapira, L. Chua, P. Parker, M. W. Sachs, R. Wieland and D. A. Bromley, Phys. Rev. Lett. 28 (1972), 1523[APS].
- See Chapter II and also
R. Tamagaki and H. Tanaka, Prog. Theor. Phys. 34 (1965), 191[PTP].
S. Okai and S. C. Park, Phys. Rev. 145 (1966), 787[APS].
- H. Horiuchi, Prog. Theor. Phys. 47 (1972), 1058[PTP].
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