Neutron scattering from<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mrow /><mml:mn>28</mml:mn></mml:msup></mml:math>Si and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mrow /><mml:mn>32</mml:mn></mml:msup></mml:math>S from 8.0 to 18.9 MeV, dispersive optical model analyses, and ground-state correlations

Al-Ohali, M.A.; Delaroche, J. P.; Howell, C. R.; Nagadi, M.M.; Naqvi, A.A.; Tornow, W.; Walter, R.L.; Weisel, G. J.

doi:10.1103/physrevc.86.034603

Cited by 15 publications

(14 citation statements)

References 86 publications

(107 reference statements)

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“…It was obtained that 2s 1/2 proton state was occupied with the probability of 0.17 ± 0.03. The values N nlj = 0.17 and 0.23 calculated for 2s 1/2 state using expressions (12) and (6) accordingly agree with this experimental one. Also the experimental indication of the proton bubble-like structure was obtained in [78].…”

Section: Proton Density Distribution Of Si Isotopessupporting

confidence: 83%

“…For deep lying states, occupation probabilities N nlj (6) approach 1 in contrast to N nlj (12) which are approximately 10% less due to the short-range correlations. The latter push single-particle strength from orbits of IPM out to the energies of hundreds of MeV [53].…”

Section: Description Of the Model And Parametrizations Of The Potentialmentioning

confidence: 93%

“…For example, occupation probabilities N nlj of the proton bound states in 90 Zr with Z = 40 [55] correspond to the total number of protons N p = 37.3. Values of N nlj from [12] lead to the total numbers N n = 13.8, N p = 12.8 in the bound states of 28 Si. The correct number of particles was achieved in dispersive selfenergy method [22] and references therein.…”

Section: Description Of the Model And Parametrizations Of The Potentialmentioning

confidence: 99%

“…To evaluate the DOM's [13] ability to describe density distributions and rms radii of nuclei we calculated the charge density distribution ρ ch (r) of 28 Si using N nlj (12) and normalized it to Z = 14. The distribution is shown in Fig.11 in comparison with the experimental data from [75] and results of HFSkP computation.…”

Section: Proton Density Distribution Of Si Isotopesmentioning

confidence: 99%

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Evolution of single-particle structure of silicon isotopes

et al. 2018

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Abstract. New data on proton and neutron single-particle energies E nlj of Si isotopes with neutron number N from 12 to 28 as well as occupation probabilities N nlj of single particle states of stable isotopes 28,30 Si near the Fermi energy were obtained by the joint evaluation of the stripping and pick-up reaction data and excited state decay schemes of neighboring nuclei. The evaluated data indicate following features of single-particle structure evolution: persistence of Z = 14 subshell closure with N increase, the new magicity of the number N = 16, and the conservation of the magic properties of the number N = 20 in Si isotopic chain. The features were described by the dispersive optical model. The calculation also predicts the weakening of N = 28 shell closure and demonstrates evolution of bubble-like structure of the proton density distributions in neutron-rich Si isotopes.PACS. 21.10.Pc Single-particle levels and strength functions -24.10.Ht Optical and diffraction models

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Section: Proton Density Distribution Of Si Isotopessupporting

confidence: 83%

Section: Description Of the Model And Parametrizations Of The Potentialmentioning

confidence: 93%

Section: Description Of the Model And Parametrizations Of The Potentialmentioning

confidence: 99%

Section: Proton Density Distribution Of Si Isotopesmentioning

confidence: 99%

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Evolution of single-particle structure of silicon isotopes

et al. 2018

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“…A number of DOM analyses for neutrons [140,141,142,143,144] were performed based on angular distributions and analyzing powers measured at Triangle Universities Nuclear Laboratory (TUNL) and additional such data and total sections from other sources. The targets ranged from 27 Al to 209 Bi and the fitted parameters were used to deduce bound-state properties including sp energies, spectroscopic factors following the prescription of Mahaux and Sartor [20].…”

Section: Dom Tunlmentioning

confidence: 99%

Recent developments for the optical model of nuclei

Dickhoff¹,

Charity²

2019

Progress in Particle and Nuclear Physics

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A brief overview of various approaches to the optical-model description of nuclei is presented. A survey of some of the formal aspects is given which links the Feshbach formulation for either the hole or particle Green's function to the time-ordered quantity of many-body theory. The link between the reducible self-energy and the elastic nucleon-nucleus scattering amplitude is also presented using the development of Villars. A brief summary of the essential elements of the multiple-scattering approach is also included. Several ingredients contained in the time-ordered Green's function are summarized for the formal framework of the dispersive optical model (DOM). Empirical approaches to the optical potential are reviewed with emphasis on the latest global parametrizations for nucleons and composites. Various calculations that start from an underlying realistic nucleon-nucleon interaction are discussed with emphasis on more recent work. The efficacy of the DOM is illustrated in relating nuclear structure and nuclear reaction information. Its use as an intermediate between experimental data and theoretical calculations is advocated. Applications of the use of optical models are pointed out in the context of the description of nuclear reactions other than elastic nucleon-nucleus scattering. arXiv:1811.03111v1 [nucl-th] 7 Nov 2018The number of works that are encompassed by the title of "optical model" is immense and any review must be selective. The topics and studies present in this review are biased by the interests of the authors. We start with several theoretical derivations of the optical potential and its connection to the self-energy in many-body formulations in Sec. 2. In Sec. 2.1 the analysis of Capuzzi and Mahaux [6] will be employed to link the Feshbach approach to the many-body perspective provided by the time-ordered Green's function. We complement this in Sec. 2.2 with a derivation by Villars [7] that formalizes the work of Ref.[8] that demonstrates the equivalence of the nucleon-nucleus T -matrix to the on-shell reducible nucleon self-energy Σ red associated with the time-ordered Green's function. This approach is important as it can be extended to the description of more complicated reactions involving composite projectiles or ejectiles. In Sec. 2.3 we briefly summarize some elements of the multiple-scattering approach but refrain from a detailed presentation which is available in Ref. [9]. We will take particular interest in the empirical dispersive optical model (DOM) where the real and imaginary potentials are connected by dispersion relations thereby enforcing causality. This approach allows one to exploit the formal properties of the time-ordered Green's function including its link to the nucleon self-energy through the Dyson equation [10,11]. As the dispersion relations require the optical potentials to be defined at both positive and negative energy, the formalism makes connections between nuclear reactions and nuclear structure needed for a better understanding of rare isotopes. Some ingredients...

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