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      Coupled-channel optical model potential for rare earth nuclei

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          Abstract

          Inspired by the recent work by Dietrich et al., substantiating validity of the adiabatic assumption in coupled-channel calculations, we explore the possibility of generalizing a global spherical optical model potential (OMP) to make it usable in coupled-channel calculations on statically deformed nuclei. The generalization consists in adding the coupling of the ground state rotational band, deforming the potential by introducing appropriate quadrupole and hexadecupole deformation and correcting the OMP radius to preserve volume integral of the spherical OMP. We choose isotopes of three rare-earth elements (W, Ho, Gd), which are known to be nearly perfect rotors, to perform a consistent test of our conjecture on integrated cross sections as well as on angular distributions for elastic and inelastic neutron scattering. When doing this we employ the well-established Koning-Delaroche global spherical potential and experimentally determined deformations without any adjustments. We observe a dramatically improved agreement with experimental data compared to spherical optical model calculations. The effect of changing the OMP radius to preserve volume integral is moderate but visibly improves agreement at lower incident energies. We find that seven collective states need to be considered for the coupled-channel calculations to converge. Our results for total, elastic, inelastic, and capture cross sections, as well as elastic and inelastic angular distributions are in remarkable agreement with experimental data. This result confirms that the adiabatic assumption holds and can extend applicability of the global spherical OMP to rotational nuclei in the rare-earth region, essentially without any free parameter. Thus, quite reliable coupled-channel calculations can be performed on such nuclei even when the experimental data, and consequently a specific coupled-channel potential, are not available.

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          TRANSITION PROBABILITY FROM THE GROUND TO THE FIRST-EXCITED 2+ STATE OF EVEN–EVEN NUCLIDES

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            Local and global nucleon optical models from 1 keV to 200 MeV

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              Neutron elastic scattering at 11 MeV and the isospin dependence of the neutron-nucleus optical potential

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                Author and article information

                Journal
                05 November 2013
                2014-02-06
                Article
                10.1051/epjconf/20136900007
                1311.1115
                8f878eab-776a-47a0-af4a-7c450052aea8

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                8 pages, 5 figures. Paper submitted as proceeding for CNR2013 conference, held in Maresias, S\~ao Paulo, Brazil in 2013
                nucl-th

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