QUADRUPOLE-OCTUPOLE TWO-PHONON EXCITATIONS IN INELASTIC SCATTERING

  • The quadrupole-octupole two-phonon excitations in inelastic scattering (α, α′) at energies of 31 and 43 MeV are studied with DWBA method. Both nuclear potential and Coulomb potential are considerd. The zeroth-order nuclear potential is taken tobe Woods-Saxon potential. The non-spherical symmetric part V1 of the nuclear potential induced by the vibration of the target nucleus is considered as a perturbation. In this calculation we onlykeep second-order term of the collective variable αλν of nuclear surface for V1 and first-order of V1 for the total initial wave function Ψ(+)i In distorted wave Green function, the absorptive channels as intermediate states are neglected. Furthermore, in the two-phonon excitation mechanism, it is assumed that the contribution of direct two-phonon excitation is important and the contribution of multiple two-phonon excitation is of less importance. The agreement between the theoretical and experimental angular distributions is reasonably well. It follows from this agreement that the 3.72 and 4.19 MeV levels in 64Zn may be quadrupole-octupole two-phonon exciation levels abd the Jπ of these levels may be 3 and 5 respectively.
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  • [1] R, L. Cohen, Phys. Rev., 105(1957), 1549.[2] R. L. Cohen et al., Phys. Rev., 106(1957), 995; Phys. Rev., 111(1958), 1568; Phys. Rev,123(1961), 283;[3] M. Crut et al., Nucl. Phys., 17(1960), 655.[4] J. S. Blair, Phys. Rev., 115(1959), 928.[5] R. H. Bassel et al. Phys. Rev., 128(1962), 2693.[6] B. Buck, Phys. Rev., 127(1962), 940.[7] N. Austern et al., Phys. Rev., 128(1962), 733,[8] D. J. Horen et al., Nucl. Phys., 72(1965), 97,[9] M, Inoue, Nucl. Phys., A119(1968), 449.[10] N. Alpert et al., Phys. Rev., C2(1970), 974.[11] R. Beurtey et al., Compt. Ren., 252(1961), 1756.[12] H. W. Broek et al., Nucl. Phys., 38(1962), 305.[13] M. Sakai et al., Phys. Lett., 10(1964), 323.[14] R. L. Robinson et al., Phys. Rev., 187(1969), 1609.[15] J. A. Deye et al., Nucl. Phys., A180(1972), 449.[16] C. Williamson et al., Phys. Rev., C21(1980), 1344.[17] L. I. Schiff, Quantum Mechanics, 3-th ed. 1968.[18] P. H. Stelson et al., Nucl. Phys., A119(1968), 14.[19] R. L. Robinson et al., Phys. Rev., 146(1966), 816.
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HOU Ren-Chang and ZHAO Xuan. QUADRUPOLE-OCTUPOLE TWO-PHONON EXCITATIONS IN INELASTIC SCATTERING[J]. Chinese Physics C, 1983, 7(2): 236-244.
HOU Ren-Chang and ZHAO Xuan. QUADRUPOLE-OCTUPOLE TWO-PHONON EXCITATIONS IN INELASTIC SCATTERING[J]. Chinese Physics C, 1983, 7(2): 236-244. shu
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Received: 1900-01-01
Revised: 1900-01-01
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QUADRUPOLE-OCTUPOLE TWO-PHONON EXCITATIONS IN INELASTIC SCATTERING

    Corresponding author: HOU Ren-Chang,

Abstract: The quadrupole-octupole two-phonon excitations in inelastic scattering (α, α′) at energies of 31 and 43 MeV are studied with DWBA method. Both nuclear potential and Coulomb potential are considerd. The zeroth-order nuclear potential is taken tobe Woods-Saxon potential. The non-spherical symmetric part V1 of the nuclear potential induced by the vibration of the target nucleus is considered as a perturbation. In this calculation we onlykeep second-order term of the collective variable αλν of nuclear surface for V1 and first-order of V1 for the total initial wave function Ψ(+)i In distorted wave Green function, the absorptive channels as intermediate states are neglected. Furthermore, in the two-phonon excitation mechanism, it is assumed that the contribution of direct two-phonon excitation is important and the contribution of multiple two-phonon excitation is of less importance. The agreement between the theoretical and experimental angular distributions is reasonably well. It follows from this agreement that the 3.72 and 4.19 MeV levels in 64Zn may be quadrupole-octupole two-phonon exciation levels abd the Jπ of these levels may be 3 and 5 respectively.

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