Elastic and inelastic neutron scattering from<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">Al</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>27</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>at 11, 14, and 17 MeV

Whisnant, C. S.; Davé, J. H.; Gould, C. R.

doi:10.1103/physrevc.30.1435

Cited by 15 publications

(6 citation statements)

References 26 publications

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“…The calculated neutron elastic scattering angular distributions for 27 Al at incident energies from 1.5 to 96.0 MeV are compared with experimental data [46][47][48][49][50][51][52][53][54][55][56][57] in Fig. 9, the theoretical calculated results are in reasonable agreement with experimental data.…”

Section: Results and Analysessupporting

confidence: 56%

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Isospin dependent nucleon-nucleus optical potential with Skyrme interactions

2009

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In this paper, the isospin dependent nucleon-nucleus optical potential theory is introduced on the basis of the effective Skyrme interactions. From the view of the many-body theory, the nucleon optical potential can be identified with the mass operator of the one-particle Green function. The first and second order mass operators of the one particle Green function in nuclear matter are derived, and the real and imaginary parts of the optical potential for finite nuclei are obtained as usual by applying a local density approximation. Our results, in most cases, can be derived and expressed analytically. From an extensive comparison with experimental data of various quantities of interests, it is concluded that for certain versions of Skyrme interactions without parameter adjusting the agreement between theory and experiments can be obtained satisfactorily. We define the ratio of the difference and summation of the neutron and proton nonelastic cross sections as the isospin effect value. The calculated results show that the isopin effect value decreases as the incident energy increases and increases as the asymmetric parameter α 0 = (N -Z)/A of the target nucleus increases.

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Section: Results and Analysessupporting

confidence: 56%

“…Calculated neutron elastic scattering angular distributions (solid line) compared with experimental data[46][47][48][49][50][51][52][53][54][55][56][57] for n + 27 Al reaction. The results are offset by factors of 10.…”

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confidence: 99%

Isospin dependent nucleon-nucleus optical potential with Skyrme interactions

2009

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“…Moreover, the results of the RMOP are very similar to those with the global KD potential. In some energy regions our predictions are even better than those with the phenomenological ones, such as the [33] 7.6 [34] 10.9, 13.9, 16.9 [35] 15.4 [36] 18.0, 20.0, 22.0, 25.0, 26.0 [37] 84.0 [38] 96.0 [39] 136.0 Ay(θ)…”

Section: Resultsmentioning

confidence: 60%

Relativistic nucleon optical potentials with isospin dependence in a Dirac-Brueckner-Hartree-Fock approach

Xu¹,

Ma²,

Dalen³

et al. 2012

Phys. Rev. C

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The relativistic optical model potential (OMP) for nucleon-nucleus scattering is investigated in the framework of Dirac-Brueckner-Hartree-Fock (DBHF) approach using the Bonn-B One-Boson-Exchange potential for the bare nucleon-nucleon interaction. Both real and imaginary parts of isospin-dependent nucleon self-energies in nuclear medium are derived from the DBHF approach based on the projection techniques within the subtracted T -matrix representation. The Dirac potentials as well as the corresponding Schrödinger equivalent potentials are evaluated. An improved local density approximation is employed in this analysis, where a range parameter is included to account for a finite-range correction of the nucleon-nucleon interaction. As an example the total cross sections, differential elastic scattering cross sections, analyzing powers for n, p + 27 Al at incident energy 100 keV E 250 MeV are calculated. The results derived from this microscopic approach of the OMP are compared to the experimental data, as well as the results obtained with a phenomenological OMP. A good agreement between the theoretical results and the measurements can be achieved for all incident energies using a constant value for the range parameter.

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“…The direct processes, increasingly dominant at higher energies, can be described by the optical model. Although 27 Al nucleus is deformed, the spherical OMP has been applied successfully [36,38,41]. A posteriori analysis of the impact of this approximation on the calculated observables will be discussed below.…”

Section: A Optical-model Potential and Wave Equationmentioning

confidence: 99%

“…We started our analysis by using non-relativistic formulation to fit the experimental data. Initial values for geometrical parameters were provided by the energy independent geometry deduced by Whisnant et al [41] and used by Petler et al [36] for phenomenological analysis of the data up to 26 MeV. They found r v = 1.18 fm, a v = 0.64 fm and r s = 1.26 fm, a s = 0.58 fm.…”

Section: E the 27 Al(n N) Dom Analysismentioning

confidence: 99%

Dispersive spherical optical model of neutron scattering from27Alup to 250 MeV

et al. 2002

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A spherical optical model potential ͑OMP͒ containing a dispersive term is used to fit the available experimental database of () and T for nϩ 27 Al covering the energy range 0.1-250 MeV using relativistic kinematics and a relativistic extension of the Schrödinger equation. A dispersive OMP with parameters that show a smooth energy dependence and an energy-independent geometry are determined from fits to the entire data set. A very good overall agreement between experimental data and predictions is achieved up to 150 MeV. Inclusion of nonlocality effects in the absorptive volume potential allows one to achieve an excellent agreement up to 250 MeV.

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Elastic and inelastic neutron scattering fromAl27at 11, 14, and 17 MeV

Cited by 15 publications

References 26 publications

Isospin dependent nucleon-nucleus optical potential with Skyrme interactions

Isospin dependent nucleon-nucleus optical potential with Skyrme interactions

Relativistic nucleon optical potentials with isospin dependence in a Dirac-Brueckner-Hartree-Fock approach

Dispersive spherical optical model of neutron scattering from27Alup to 250 MeV

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