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Prog. Theor. Phys. Vol. 51 No. 6 (1974) pp. 1764-1782
Nucleus-Nucleus Potential in the Two-Center Shell Model
Terutake Tazawa
Institute of Physics, University of Tokyo, Komaba, Tokyo
(Received October 22, 1973)
Abstract:
The 16O–16O potential which describes elastic scattering is calculated from the microscopic point of view in the two-center shell model without spin-orbit coupling developed by the Greiner group. The use of variational method can determine the dependence of the oscillator frequency ω(R) on the separation distance and also correct the inadequate asymptotic behaviour in Greiner's approach. We discuss the possibility of the formation of nuclear molecule during the collision on the basis of the estimation of the time for nucleon exchange, and also the changeability of the configuration describing the 16O+16O system by use of the time-dependent perturbation method. This discussion suggests that the collision process is neither adiabatic nor sudden, but intermediate. It is shown that very shallow potential similar to the one obtained by optical model analysis of experimental data can be obtained under the conditions that the two-body force reproduces the saturation properties and that the wave function is totally antisymmetrized. The distortion effects such as the dependence of the frequency ω(R) on the separation distance and the tunnelling of surface nucleons are discussed.
URL :
http://ptp.ipap.jp/link?PTP/51/1764/
DOI : 10.1143/PTP.51.1764
References:
-
R. H. Siemssen, J. V. Maher, A. Weidinger and D. A. Bromley, Phys. Rev. Lett. 19 (1967), 369[APS].
-
J. V. Maher, M. W. Sachs, R. H. Siemssen, A. Weidinger and D. A. Bromley, Phys. Rev. 188 (1969), 1665[APS].
A. Gobbi, Proceedings of the Symposium at Argonne, 1971 (ANL-7837), p. 63.
R. H. Siemssen, Proceedings of the Symposium at Argonne, 1971 (ANL-7837), p. 145.
R. Bock and W. R. Hering, Proceedings of the International Conference on Nuclear Reactions Induced by Heavy Ions, Session, I, Elastic Scattering.
- A. Gobbi, Proceedings of the Symposium at Argonne, 1971 (ANL-7837), p. 83.
-
J. V. Maher, M. W. Sachs, R. H. Siemssen, A. Weidinger and D. A. Bromley, Phys. Rev. 188 (1969), 1665[APS].
-
K. A. Brueckner, J. R. Buchler and M. M. Kelly, Phys. Rev. 173 (1968), 944[APS].
- W. Scheid and W. Greiner, Z. Phys. 226 (1969), 364.
- T. Fliessbach, Z. Phys. 247 (1971), 117.
- A. Tohsaki, F. Tanabe and R. Tamagaki, Prog. Theor. Phys. 45 (1971), 980[PTP].
-
T. Yukawa, Phys. Lett. B 38 (1972), 1[CrossRef];
Nucl. Phys. A 186 (1972), 127[CrossRef].
-
K. Pruess and W. Greiner, Phys. Lett. B 33 (1970), 197[CrossRef].
- T. Fliessbach, Z. Phys. 242 (1971), 287.
-
P. Holzer, U. Mosel and W. Greiner, Nucl. Phys. A 138 (1969), 241[CrossRef].
D. Scharnweber, W. Greiner and U. Mosel, Nucl. Phys. A 164 (1971), 257[CrossRef].
- T. Tazawa and A. Iwamoto, Report on the Meeting on Heavy-Ion Science at JAERI, 1971 (JAERI 1221), p. 87.
- S. Moriguchi, K. Udagawa and S. Hitotsumatsu, Sugaku Koshiki III (Iwamoto Shoten, 1960), p. 77.
-
A. B. Volkov, Nucl. Phys. 74 (1965), 33[CrossRef].
-
D. M. Brink and E. Boeker, Nucl. Phys. A 91 (1967), 1[CrossRef].
-
F. R. Ruehl, Nucl. Phys. A 136 (1969), 241[CrossRef].
- T. Tazawa, Thesis (Tokyo Univ. 1973), unpublished.
- M. Baranger, J. de Phys. C 5 (1972), 61.
- R. H. Siemssen, Proceedings of the Symposium at Argonne, 1971 (ANL-7837), p. 145.
- T. Tazawa, Preprint (UT-Komaba 72-19).
-
E. Seglie and D. R. Inglis, Phys. Rev. Lett. 28 (1972), 371[APS].
-
G. Reidemeister, Nucl. Phys. A 197 (1972), 631[CrossRef].
-
C. W. Wong, Nucl. Phys. A 147 (1970), 545[CrossRef].
- N. F. Mott and H. S. W. Massey, The Theory of Atomic Collision (Oxford, 1965), p. 804.
L. D. Landau and E. N. Lifshitz, Quantum Mechanics (Pergamon, 1958).
D. L. Hill and J. A. Wheeler, Phys. Rev. 89 (1953), 1102[APS].
