Single-Particle Motion in Nuclei

Mahaux, C.; Sartor, R.

doi:10.1007/978-1-4613-9910-0_1

Cited by 258 publications

(142 citation statements)

References 233 publications

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“…It has been shown that consideration of dispersion effects allows us to describe both bound and scattering states by the same nuclear mean field [7][8][9][10][11][12]. Pioneering works on dispersive optical model (DOM) analysis for nucleon scattering were done by Lipperheide [13,14], Passatore [15], and Lipperheide and Schmidt [16].…”

Section: Introductionmentioning

confidence: 99%

Is a global coupled-channel dispersive optical model potential for actinides feasible?

et al. 2005

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An isospin-dependent coupled-channel optical model potential containing a dispersive term with a 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 238 U and 232 Th nuclei. The energy range 0.001-200 MeV is covered. A dispersive coupled-channel optical model (DCCOM) potential with parameters that show a smooth energy dependence and energy-independent geometry are determined from fits to the entire data set. Calculations using the obtained DCCOM potential reproduce measured total cross-section differences between 232 Th and 238 U within experimental uncertainty. The isovector terms and the observed very weak dependence of the geometrical parameters on mass number A allow us to extend the derived potential parameters to neighboring actinide nuclei with great confidence.

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Section: Introductionmentioning

confidence: 99%

Is a global coupled-channel dispersive optical model potential for actinides feasible?

et al. 2005

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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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“…The approximation of Equation (6) is usually called the effective mass approximation, since then the spectrum has the same shape as the free one but with an effective mass m*. From Equation (2) and (6) the effective mass m* can be evaluated from the slope of U(k) at the Fermi momentum Equation (7) (Mahaux and Sartor, 1991):…”

Section: Brueckner-hartree-fock For Symmetric Nuclear Mattermentioning

confidence: 99%

“…In order to analyze this finding we inspect the dependence of the nucleon selfenergy in the BHF approximation BHF i ∑ , defined in Equation (7), as a function of energy ω and momentum k of the nucleon considered. Following the discussion of Mahaux and Sartor (1991) one can define the effective k-mass Equation (35):…”

Section: The Isovector Effective Massmentioning

confidence: 99%

The Properties of Nuclear Matter

Hassaneen¹

2013

Physics International

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The microscopic and bulk properties of nuclear matter at zero and finite temperatures are studied in the frame of the Brueckner theory. The results for the symmetry energy are also obtained using different potentials. The calculations are based on realistic nucleon-nucleon interactions which reproduce the nucleon-nucleon phase shifts. These microscopic approaches are supplemented by a density-dependent contact interaction to achieve the empirical saturation property of symmetric nuclear matter. Special attention is paid to behavior of the effective mass in asymmetric nuclear matter. The nuclear symmetry potential at fixed nuclear density is also calculated and its value decreases with increasing the nucleon energy. The hot properties of nuclear matter are also calculated using T 2 -approximation at low temperatures. Good agreement is obtained in comparison with previous works around the saturation point.

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Single-Particle Motion in Nuclei

Cited by 258 publications

References 233 publications

Is a global coupled-channel dispersive optical model potential for actinides feasible?

Is a global coupled-channel dispersive optical model potential for actinides feasible?

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

The Properties of Nuclear Matter

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