Extrapolation from positive to negative energy of the Woods-Saxon parametrization of the n-208Pb mean field

Mahaux, C.; Sartor, R.

doi:10.1016/0375-9474(87)90515-x

Cited by 54 publications

(21 citation statements)

References 22 publications

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“…It has been extended to include inelastic scattering by the coupled-channels formalism [4,5] and consideration of dispersion effects allows us to describe both bound and scattering states by the same nuclear mean field [6][7][8][9][10][11][12][13][14][15][16]. These dispersion effects follow from the requirement of causality, namely that the scattering wave is not emitted before the incident wave arrives [7].…”

Section: Introductionmentioning

confidence: 99%

Dispersive coupled-channel analysis of nucleon scattering fromTh232up to 200 MeV

et al. 2005

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An isospin-dependent coupled-channels optical model potential containing a dispersive term (including nonlocal contribution) is used to simultaneously fit the available experimental database (including strength functions and scattering radius) for neutron and proton scattering on strongly deformed 232 Th nucleus. The energy range 0.001-200 MeV is covered. A dispersive coupled-channel optical model potential with parameters that show a smooth energy dependence and energy independent geometry are determined from fits to the entire data set. Dispersive contribution is shown to be the dominant Coulomb correction to the proton real potential below the Coulomb barrier. Inclusion of nonlocality effects in the absorptive volume potential and its corresponding dispersive contribution to the real potential is needed to achieve an excellent agreement above 100 MeV.

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Section: Introductionmentioning

confidence: 99%

Dispersive coupled-channel analysis of nucleon scattering fromTh232up to 200 MeV

et al. 2005

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“…Both bound and scattering states were calculated using the same nuclear mean field constrained by dispersive relations [41][42][43][44][45][46][47][48][49][50][51][52][53]. Recent works to improve the description of the bound states using the dispersive optical model and describe reactions on unstable targets off the β-stability valley have been published by a group at Washington University, St. Louis, MO (see Ref.…”

Section: Dispersive Optical-model Formalismmentioning

confidence: 99%

Nucleon scattering on actinides using a dispersive optical model with extended couplings

et al. 2016

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The Tamura coupling model [Rev. Mod. Phys. 37, 679 (1965)] has been extended to consider the coupling of additional low-lying rotational bands to the ground-state band. Rotational bands are built on vibrational bandheads (even-even targets) or single-particle bandheads (odd-A targets) including both axial and nonaxial deformations. These additional excitations are introduced as a perturbation to the underlying axially symmetric rigid-rotor structure of the ground-state rotational band. Coupling matrix elements of the generalized optical model are derived for extended multiband transitions in even-even and odd-A nuclei. Isospin symmetric formulation of the optical model is employed. A coupled-channels optical-model potential (OMP) containing a dispersive contribution is used to fit simultaneously all available optical experimental databases including neutron strength functions for nucleon scattering on 232 Th, 233,235,238 U, and 239 Pu nuclei. Quasielastic (p,n) scattering data on 232 Th and 238 U to the isobaric analog states of the target nucleus are also used to constrain the isovector part of the optical potential. Lane consistent OMP is derived for all actinides if corresponding multiband coupling schemes are defined. For even-even (odd-A) actinides almost all low-lying collective levels below 1 MeV (0.5 MeV) of excitation energy are coupled. OMP parameters show a smooth energy dependence and energy-independent geometry. A phenomenological optical-model potential that couples multiple bands in odd-A actinides is published for a first time. Calculations using the derived OMP potential reproduce measured total cross-section differences between several actinide pairs within experimental uncertainty for incident neutron energies from 50 keV up to 150 MeV. The importance of extended coupling is studied. Multiband coupling is stronger in even-even targets owing to the collective nature of the coupling; the impact of extended coupling on predicted compound-nucleus formation cross section reaches 5% below 3 MeV of incident neutron energy. Excitation of multiple bands in odd-A targets is weaker owing to the single-particle nature of the coupling. Coupling of ground-state rotational band levels in odd-A nuclei is sufficient for a good description of the compound-nucleus formation cross sections as long as the coupling is saturated (a minimum of seven coupled levels are typically needed).

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“…The Woods-Saxon potential (WSP for short), which is normally considered as a mean field one, lies within this category. It has been used in the study of nuclei outside A = 110−210 [1], high spin states in 146 Gd [2], parametrization of the n-208 Pb mean field [3], two-centre formalism [4], shell model calculations [5], spectra of rotating nuclei [6], confined quantum systems [7], collective models [8] and the wobbling excitations [10]. The solution of the Klein-Gordon equation under the WSP has been obtained in [11].…”

Section: Introductionmentioning

confidence: 99%

The Relativistic Transmission and Reflection Coefficients for Woods-Saxon Potential

Yazarloo

Mehraban

2016

Acta Phys. Pol. A

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The relativistic problem of spin-1/2 particles subject to the Woods-Saxon potential is investigated by using the functional analysis method. We obtain scattering and bound state solutions of the one-dimensional Dirac equation with the Woods-Saxon potential in terms of the Jacobi polynomials. We also calculated the transmission and reflection coefficients by using behavior of the wave functions at infinity.

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Extrapolation from positive to negative energy of the Woods-Saxon parametrization of the n-208Pb mean field

Cited by 54 publications

References 22 publications

Dispersive coupled-channel analysis of nucleon scattering fromTh232up to 200 MeV

Dispersive coupled-channel analysis of nucleon scattering fromTh232up to 200 MeV

Nucleon scattering on actinides using a dispersive optical model with extended couplings

The Relativistic Transmission and Reflection Coefficients for Woods-Saxon Potential

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