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Prog. Theor. Phys. Supplement No.62 (1977) pp. 236-294
Chapter V. A Coupled Channel Variational Method for Microscopic Study of Reactions between Complex Nuclei
Masayasu Kamimura
Department of Physics, Kyushu University, Fukuoka 812
(Received January 6, 1978)
Abstract:
A precise generalization of the Kohn-Hulthen-Kato variational method for scattering matrix is made for the purpose of microscopic study of reactions between complex nuclei with many channels coupled. The frameworks is given by the resonating group method (RGM) both for two-cluster systems and for three-cluster systems. The scattering boundary condition is imposed on the trial functions of the dynamical coordinate space, while the requires matrix elements between the RGM trial basis functions for the internal region are described in terms of the generator coordinate (GC) kernels and the corresponding GC trial basis functions. Detailed numerical tests are exhibited with showing very good accuracy and sufficiently short computational time in the result of the present method, which is encouraging enough to apply the method to coupled channel studies of various-kind reactions based both on the microscopic models and on certain phenomenological models.
URL :
http://ptp.ipap.jp/link?PTPS/62/236/
DOI : 10.1143/PTPS.62.236
References:
- K. Ikeda, T. Marumori, R. Tamagaki, H. Tanaka, J. Hiura, H. Horiuchi, Y. Suzuki, F. Nemoto, H. Bando, Y. Abe, N. Takigawa, M. Kamimura, K. Takada, Y. Akaishi and S. Nagata, Prog. Theor. Phys. Suppl. No. 52 (1972).
- Proceedings of INS-IPCR International Symposium on Cluster Structure of Nuclei and Transfer Reactions Induced by Heavy-Ions, Tokyo, 1975.
- Proceedings of Second International Conference on Clustering Phenomena in Nuclei, Maryland, 1975.
- K. Wildermuth and Y. C. Tang, A Unified Theory of the Nucleus (Vieweg, Braunsschweig, Germany, 1977).
-
J. A. Wheeler, Phys. Rev. 52 (1937), 1083[APS].
-
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].
- S. Saito, Prog. Theor. Phys. 41 (1969), 705[PTP].
- H. H. Robertson, Proc. Cambridge Phil. Soc. 52 (1956), 538.
- H. Horiuchi, Prog. Theor. Phys. 43 (190), 375[PTP].
-
D. Baye and P. H. Heenen, Nucl. Phys. A 233 (1974), 304[CrossRef].
P. H. Heenen, Nucl. Phys. A 272 (1976), 399[CrossRef].
-
N. de Takacsy, Phys. Rev. C 5 (1972), 1883[APS].
- F. Tanabe, A. Tohsaki and R. Tamagaki, Prog. Theor. Phys. 50 (1973), 1774[PTP].
- F. Tanabe and F. Nemoto, Prog. Theor. Phys. 51 (1974), 2009[PTP].
-
H. Friedrich, H. Hüsken and A. Weiguny, Nucl. Phys. A 220 (1974), 125[CrossRef].
- P. Heiss and H. H. Hackenbroich, Z. Phys. 235 (1970), 422.
-
R. Beck, J. Borysowicz, D. M. Brink and M. V. Mihailović, Nucl. Phys. A 244 (1975), 45[CrossRef];
ibid. 244 (1975), 58[CrossRef].
- Y. Mito and M. Kamimura, Prog. Theor. Phys. 56 (1976), 583[PTP].
-
M. Mihailović, L. Goldfarb and M. Nagarajan, Nucl. Phys. A 273 (1976), 207[CrossRef].
- S. Nagata and Y. Yamamoto, Prog. Theor. Phys. 57 (1977), 1088[PTP].
-
L. F. Canto and D. M. Brink, Nucl. Phys. A 279 (1977), 85[CrossRef].
- M. Kamimura, Proceedings of International Symposium on Nuclear Collisions and Their Microscopic Description, Bled, Yugoslavia, 1977, p. 159.
-
W. Kohn, Phys. Rev. 74 (1948), 1763[APS].
- L. Hulthen, Ark. Kat. Astr. Fys. A 35 (1948), No. 25.
- T. Kato, Prog. Theor. Phys. 6 (1951), 394[PTP].
- N. F. Mott and H. S. Massey, The Theory of Atomic Collisions (Oxford University Press, 1965, the third edition).
- T. Ohmura, B. Imanishi, M. Ichimura and M. Kawai, Prog. Theor. Phys. 41 (1969), 391[PTP].
- T. Ohmura, B. Imanishi, M. Ichimura and M. Kawai, Prog. Theor. Phys. 43 (1970), 347[PTP].
- H. H. Hackenbroich, Proceedings of Second International Conference on Clustering Phenomena in Nuclei, Maryland, 1975.
- T. Matsuse, M. Kamimura and Y. Fukushima, Prog. Theor. Phys. 53 (1975), 706[PTP].
- M. Kamimura and T. Matsuse, Prog. Theor. Phys. 51 (1974), 438[PTP].
- M. Kamimura, Soryushiron Kenkyu (Kyoto) 50 (1974), C27.
- Y. Abe, T. Matsuse and Y. Kondo, Prog. Theor. Phys. 59 (1978), 465[PTP]; ibid. 59 (1978), 1009[PTP]; ibid. 59 (1978), 1037[PTP].
- M. Kawai, M. Kamimura, Y. Mito and K. Takesako, Proceedings of International Conference on Nuclear Structure (Contributed Papers), Tokyo, 1977, p. 474, 475 and 527; Prog. Theor. Phys. 59 (1978), 674[PTP]; ibid. 59 (1978), 676[PTP].
-
A. M. Lane and R. G. Thomas, Rev. Mod. Phys. 30 (1958), 257[APS].
A. M. Lane and D. Robson, Phys. Rev. 178 (1969), 1715[APS].
-
D. Baye and P. H. Heenen, Nucl. Phys. A 276 (1977), 354[CrossRef];
ibid. 283 (1977), 176[CrossRef].
- D. Baye and P. H. Heenen, Proceedings of International Symposium on Nuclear Collisions and Their Microscopic Description, Bled, Yugoslavia, 1977, p. 1.
- H. Horiuchi, private communications.
-
D. Baye, P. H. Heenen and M. Libert-Heinemann, Nucl. Phys. A 291 (1977), 230[CrossRef].
- Y. Fukushima and M. Kamimura, Proceedings of the International Conference on Nuclear Structure, Tokyo, 1977, p. 225.
- M. Kamimura, T. Matsuse and T. Takada, Prog. Theor. Phys. 47 (1972), 1537[PTP].
-
B. Giraud and J. Le Tourneux, Phys. Rev. Lett. 31 (1973), 399[APS].
- T. Y. Wu and T. Ohmura, Quantum Theory of Scattering (Prentice-Hall, Inc., New Jersey, 1962).
-
G. L. Payne and R. R. Carlson, Phys. Rev. C 12 (1975), 1260[APS].
- S. Saito, H. Nishioka and M. Yasuno, Prog. Theor. Phys. 58 (1977), 190[PTP].
- D. M. Brink, Proceedings of International School of Physics, Enrico Fermi Course 36 (1977), 247.
-
D. R. Thompson and Y. C. Tang, Phys. Rev. C 8 (1973), 1649[APS].
- Y. Fukushima and M. Kamimura, Fukuoka University Science Report 8 (1978), No. 2, to be published.
- J. P. Elliott and T. H. R. Skyrme, Proc. R. Soc. A 232 (1955), 561.
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