Phonon dispersion in some HCP transition metals

Sinha, H.P.; Upadhyaya, J.C.

doi:10.1016/0378-4363(75)90020-0

Cited by 11 publications

(12 citation statements)

References 24 publications

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“…The double-folding model requires an effective nucleon nucleon interaction, that is fo lded into the density of both nuclei (41,154,(171)(172)(173)(174)(175). Although fo lding potentials have been used extensively to fit heavy-ion elastic scattering data, these potentials are probably too deep (153), especially at smaller radial distances.…”

Section: Folding Potentialsmentioning

confidence: 99%

Damped Heavy-Ion Collisions

Schröder¹,

Huizenga²

1977

Annu. Rev. Nucl. Sci.

329

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Section: Folding Potentialsmentioning

confidence: 99%

Damped Heavy-Ion Collisions

Schröder¹,

Huizenga²

1977

Annu. Rev. Nucl. Sci.

329

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“…The model takes into account the total effect of antisymmetrization for kinetic and potential energy. Therefore, one avoids the shortage of folding potentials [21][22][23][24][25]. In our calculations we use the Skyrme force as an effective * Work supported by GSI and BMFT interaction [26].…”

Section: (A~/3+a~/a)fmmentioning

confidence: 99%

Energy and angular momentum dependence of heavy ion optical potentials

Zint

1977

Z Physik A

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The influence of bombarding energy and angular momentum on the depth and shape of the real part of the optical ion-ion potential is studied in a model which uses oscillator wave functions for the ground states of the interacting nuclei and takes into account the relative motion of the nuclei by a multiplication with a plane wave factor. The calculations were done for ~+c~, 160~-160, 4~176 ~-~-160, ~-4~ and 160+ 4~ with the Skyrme force as interaction.

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“…We thereby provide a result against which the commonly used approximate methods for obtaining LEP's for the knockon exchange term can be compared. Among the latter exist the energy density approximation method [4,5] and another one developed by Horiuchi [6], based on the Wentzel-Kramers-Brillouin (WKB) approximation. We also compare the nonlocal and corresponding local wave functions in order to investigate how well their ratio is given by the conventional Percy-Buck result [2].…”

Section: Introductionmentioning

confidence: 99%

Local representation of the exchange nonlocality inn−16O scattering

et al. 1994

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The nonlocal Schrodinger equation is solved rigorously in a microscopic folding model, incorporating both direct and knock-on exchange potentials, for n-0 scattering at laboratory energies of 20 and 50 MeV. The model uses the complex and density dependent n-n interaction of N. Yamaguchi et al. , uses harmonic oscillator wave functions for the bound nucleons, and calculates the scattering wave function for this nonlocal problem using a Bessel-Sturmian expansion method incorporating correct boundary conditions. All spins are neglected. The local phase-equivalent potential is obtained from the scattering matrix elements at a given energy by using the iterative perturbative inversion method. This representation allows comparison between the microscopic model and a phenomenological potential, showing good agreement for the local real part of the potential at 20 MeV. From the ratio of the wave functions for the nonlocal potential and for the potential calculated by inversion, a Percy damping factor (PDF) is obtained which is of similar form to the well-known Percy-Buck prescription for the PDF for a Gaussian nonlocality of the conventional range of 0.85 fm. The signi6cance of these results for distorted wave Born approximation calculations is discussed.PACS number(s): 24.10.Ht, 25.40.Dn

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Phonon dispersion in some HCP transition metals

Cited by 11 publications

References 24 publications

Damped Heavy-Ion Collisions

Damped Heavy-Ion Collisions

Energy and angular momentum dependence of heavy ion optical potentials

Local representation of the exchange nonlocality inn−16O scattering

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