Double giant dipole excitations in deformed nuclei

Scholtz, F. G.; Hahne, F.J.W.

doi:10.1007/bf01290615

Cited by 3 publications

(3 citation statements)

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“…There has been recent interest in the harmonicity of collective motion, with new experimental data on double-phonon excitations of the giant dipole resonance [1][2][3]. Timedependent mean field theory provides a useful tool to study this topic, and a number of calculations have been reported [4][5][6][7][8][9][10][11][12][13][14][15]. Since the calculations in the full mean-field theory are rather opaque, it may be of some interest to find simple approximations that contain the same physics.…”

Section: Introductionmentioning

confidence: 99%

Variational approach to anharmonic collective motion

Bertsch

Feldmeier²

1997

Phys. Rev. C

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We derive large-amplitude collective equations of motion from the variational principle for the time-dependent Schroedinger equation. These equations reduce to the well-known diabatic formulas for vibrational frequencies in the small amplitude limit. The finite amplitude expression allows departures from harmonic behavior of giant resonances to be simply estimated. The relative shift of the second phonon falls with nuclear mass A as A^(-4/3) in the three modes we consider: monopole, dipole, and quadrupole. Numerically the effect is very small in heavy nuclei, as was found with other approaches.Comment: 21 pages Latex(Revtex), no figures; contact is bertsch@phys.washington.ed

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Section: Introductionmentioning

confidence: 99%

Variational approach to anharmonic collective motion

Bertsch

Feldmeier²

1997

Phys. Rev. C

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“…An extreme schematic model based on presumed degeneracy of all 1p-1h energies has recently been applied to investigate DGDR in double-magic nuclei [10]. An SU(3) limit to the interacting boson model (IBM) has also been recently applied to DGDR states in deformed nuclei [11].…”

Section: Introductionmentioning

confidence: 99%

Systematics of the double giant dipole resonances in nuclei

Bar-Touv

Mordechaǐ

1992

Phys. Rev. C

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A generalization of the continuum open-shell r-space linear response random-phase approximation method to finite temperatures (i.e. , TDRPA method) is applied in a study of the systematics of the electric double giant dipole resonance (DGDR) in magic and open-shell nuclei covering a wide range of nuclear masses. Viewing the DGDR as a single-phonon vibration in a hot nucleus, whose temperature corresponds to the centroid energy of the ground-state (zero-temperature) GDR, the TDRPA equation has been solved for the eleven nuclei whose DGDR state has recently been investigated in pion doublecharge-exchange (DCX) experiments. The expected general features of a collective vibration in hot nuclei, particularly the broadening and the downshift of the GDR excitation energy due to increase in temperature, were found to be small, yet quite distinguishable. Except for the lighter nuclei, a reliable estimate fpr the DGDR energy wpuld be E =2E+ " and the estimate fpr its width wpuld be I~=&2I 6 . However, the changes in the integrated cross sections pf the DGDR due to finite temperature are found to be much more significant. An exact A ' power law for the DGDR energy is suggested by the TDRPA solutions. A gratifying agreement between the TDRPA predictions and experiment has been established for the Q values of the relevant pion DCX reactions after taking into account the proper Coulomb and symmetry energy corrections.PACS number(s): 21.10. Re, 21.60.Jz, 24.30.Cz, 25.80. Hp

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“…Low-energy nuclear states and their coupling with the GDR can be modelled in several different ways and a convenient one is in the context of the IBM [11,17]. In deformed nuclei the problem was worked out analytically for a single GDR by Rowe and Iachello [18], while numerical results were presented for the single GDR in [19][20][21][22] and later for the double GDR in [23]. In this letter analytical results for the energies and E1 transitions in spherical and deformed nuclei are generalised to the multiple GDR, and numerical results are presented for intermediate cases.…”

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Excitation of multiple giant dipole resonances: from spherical to deformed nuclei

et al. 1999

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The effect of deformation on the excitation of multiple giant dipole resonances is studied. Analytical expressions are derived in the framework of the interacting boson model for the energies and E1 properties of giant dipole resonances in spherical and deformed nuclei, and a numerical treatment of transitional nuclei is proposed. Coulomb-excitation cross sections are calculated in 238 U and in the samarium isotopes. q

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Double giant dipole excitations in deformed nuclei

Abstract: A calculation is presented for the excitation spectra of two superimposed dipole resonances for deformed nuclei by using the SU(3) limit of the interaction boson model for the case of many bosons. The results indicate that experiments to test the model may be feasible.

Cited by 3 publications

References 24 publications

Variational approach to anharmonic collective motion

Variational approach to anharmonic collective motion

Systematics of the double giant dipole resonances in nuclei

Excitation of multiple giant dipole resonances: from spherical to deformed nuclei

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