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Prog. Theor. Phys. Vol. 69 No. 2 (1983) pp. 516-534

[ Full Text PDF : FREE ACCESS (727K) ]

Equivalent Local Potentials and Perey Factors for Various Kinds of Relative Wave Functions of RGM. I

— Formulation —

Hisashi Horiuchi

Department of Physics, Kyoto University, Kyoto 606

(Received October 21, 1982)

Abstract:

By using the same WKB treatment as applied successfully to the non-local potential for the usual RGM relative wave function χ, the equivalent local potential and the Perey factor are derived for the other types of RGM relative wave functions √Nχand Nχ where N is the normalization kernel. The equivalent local potentials for χ, √Nχ and Nχ are shown to be the same as each other. χ, √Nχ and Nχ have a common flux and it is compared with the flux by the equivalent local potential. Reliability of the WKB treatment is shown to be high by a numerical check of the accuracy of semi-classical relations among χ, √Nχ and Nχ and derived by the WKB treatment.


URL : http://ptp.ipap.jp/link?PTP/69/516/
DOI : 10.1143/PTP.69.516

[ Full Text PDF : FREE ACCESS (727K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 71 No. 3 (1984) pp. 535-545 :
    Equivalent Local Potentials and Perey Factors for Various Kinds of Relative Wave Functions of RGM. II
    Hisashi Horiuchi
  2. Progress of Theoretical Physics Vol. 71 No. 6 (1984) pp. 1275-1292 :
    A Semi-Classical Treatment of the Coupled Channel Equation with Non-Local Interaction. I
    Kazuhiro Yabana and Hisashi Horiuchi
  3. Progress of Theoretical Physics Vol. 73 No. 5 (1985) pp. 1172-1190 :
    Microscopic Study of the Dependence of the Light Ion Potential on the Projectile Mass Number
    Hisashi Horiuchi
  4. Progress of Theoretical Physics Vol. 75 No. 2 (1986) pp. 458-460 :
    Study of 16O+40Ca Potential by the Resonating Group Method
    Takahiro Wada
  5. Progress of Theoretical Physics Vol. 75 No. 3 (1986) pp. 754-756 :
    Effect of Coulomb Force on the Volume Integral of Light-Ion Nuclear Potential
    Takahiro Wada and Hisashi Horiuchi
  6. Progress of Theoretical Physics Vol. 80 No. 3 (1988) pp. 488-501 :
    Study of 16O-16O Potential by the Resonating Group Method. I
    Takahiro Wada and Hisashi Horiuchi
  7. Progress of Theoretical Physics Vol. 80 No. 3 (1988) pp. 502-516 :
    Study of 16O-16O Potntial by the Resonating Group Method. II
    Takahiro Wada and Hisashi Horiuchi

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