Differential Elastic Cross Sections for Protons Between 10 and 22 MeV on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">Ca</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>40</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>

Dicello, J. F.; Igo, G.; Leland, W. T.; Perey, F.G.

doi:10.1103/physrevc.4.1130

Cited by 22 publications

(17 citation statements)

References 22 publications

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“…[18], DOM fits of p+ 40 Ca and p+ 48 Ca data indicated that protons are more strongly correlated in the neutron-rich 48 Ca nucleus. The present work extends this analysis by adding the p+ 42 Ca, p+ 44 Ca, and n+ 40 Ca systems to this analysis. In addition, the data sets for the p+ 40 Ca and p+ 48 Ca systems were buttressed with more elastic-scattering data now including proton energies up to 200 MeV.…”

Section: Introductionmentioning

confidence: 82%

“…(i) Elastic-scattering angular distributions dσ/d and analyzing powers A y for p+ 40,42,44,48 Ca and n+ 40 (ii) Reaction cross sections σ react for p+ 40,42,44,48 Ca reactions from Ref. [24] and for the n+ 40 Ca reaction from Ref.…”

Section: Data Setsmentioning

confidence: 99%

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confidence: 99%

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Dispersive-optical-model analysis of the asymmetry dependence of correlations in Ca isotopes

et al. 2007

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A dispersive-optical-model analysis of p+ 40,42,44,48 Ca and n+ 40 Ca interactions has been carried out. The real and imaginary potentials have been constrained by fitting elastic-scattering data, total and reaction cross sections, and level properties of valence hole states deduced from (e, e p) data. The resulting surface imaginary potential increases with asymmetry for protons, implying that in heavier Ca isotopes, protons experience stronger long-range correlations. Presently, there is not enough data for neutrons to determine their asymmetry dependence. Global optical-model fits usually assume that the neutron asymmetry dependence is equal in magnitude, but opposite in sign, to that for protons. Such a dependence was found to give unphysical results for heavy Ca isotopes. The dispersive optical model is shown to be a useful tool for data-driven extrapolations to the drip lines. Neutron and proton data at larger asymmetries are needed to achieve more reliable extrapolations. The present analysis predicts 60 Ca and 70 Ca to be bound, while the intermediate isotopes are not.

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Section: Introductionmentioning

confidence: 82%

Section: Data Setsmentioning

confidence: 99%

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Dispersive-optical-model analysis of the asymmetry dependence of correlations in Ca isotopes

et al. 2007

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“…The experimental data are from Refs. [16][17][18][19]. Aside from small deviations at large angles, the results from using Eq.…”

Section: Nonlocal Dom Potential and Nucleon Scatteringmentioning

confidence: 99%

Implications for(d,p)reaction theory from nonlocal dispersive optical model analysis ofCa40(d,p
Waldecker
¹
,
Timofeyuk
²

2016
Phys. Rev. C
20
1
25
1
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The nonlocal dispersive optical model (NLDOM) nucleon potentials are used for the first time in the adiabatic analysis of a (d,p) reaction to generate distorted waves both in the entrance and exit channels. These potentials were designed and fitted by Mahzoon et al. [Phys. Rev. Lett. 112, 162502 (2014)] to constrain relevant single-particle physics in a consistent way by imposing the fundamental properties, such as nonlocality, energy-dependence and dispersive relations, that follow from the complex nature of nuclei. However, the NLDOM prediction for the 40 Ca(d,p) 41 Ca cross sections at low energy, typical for some modern radioactive beam ISOL facilities, is about 70% higher than the experimental data despite being reduced by the NLDOM spectroscopic factor of 0.73. This overestimation comes most likely either from insufficient absorption or due to constructive interference between ingoing and outgoing waves. This indicates strongly that additional physics arising from many-body effects is missing in the widely used current versions of (d,p) reaction theories.

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“…The parameters of the DOM were fit for both 40 Ca and 48 Ca from a large set of data covering both positive and negative proton energies. For 40 Ca, 14 experimental elastic-scattering angular distributions for energies from 18 to 135 MeV [8,9,10,11,12,13] and seven data sets for the analyzing power measured at energies from 21 to 80 MeV [12,14,15,16,17,18] were included. For 48 Ca the fitted data included 14 angular distributions and seven sets of analyzing power at energies from 8 to 65 MeV [12,13,19,20].…”

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confidence: 99%

Asymmetry Dependence of Proton Correlations

2006

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A dispersive optical model analysis of p+ 40 Ca and p+ 48 Ca interactions has been carried out. The real and imaginary potentials have been constrained from fits to elastic scattering data, reaction cross sections, and level properties of valence hole states deduced from (e, e ′ p) data. The surface imaginary potential was found to be larger overall and the gap in this potential on either side of the Fermi energy was found to be smaller for the neutron-rich p+ 48 Ca system. These results imply that protons with energies near the Fermi surface experience larger correlations with increasing asymmetry.PACS numbers: 21.10. Pc,24.10.Ht,11.55.Fv In the independent-particle model, nucleons in the nucleus move in a mean-field potential generated by the other nucleons. All nucleon levels up until the Fermi energy (E F ) are fully occupied, while those above are empty. Although this model enables an understanding of various aspects of nuclear structure, a full description of nuclei and nuclear matter requires consideration of the correlations between the nucleons. These include short-range, central and tensor interactions and longer range correlations associated with low-lying collective excitations [2]. As a result, for closed-shell nuclei, singleparticle (sp) levels below E F have an occupancy of only 70-80% and the levels at higher energy have a nonzero occupancy [3]. The strength of the sp levels are spread over energy, with narrow peaks or broad distributions (depending on their separation from E F ). In addition, there is strength at very high momentum [4].Although there are numerous studies of the effect of correlations on the properties of sp levels for nuclei near stability, there are only a few studies for very neutron or proton-rich nuclei. From neutron knock-out reactions, Gade et al. [5] infer the occupancy of the 0d 5/2 neutron hole state in the proton-rich 32 Ar nucleus is considerably reduced relative to those for stable nuclei.An alternate method to study sp strength is through the use of the dispersive optical model (DOM) developed by Mahaux and Sartor [6]. This description employs the Kramers-Kronig dispersion relation that links the imaginary and real parts of the nucleon self-energy [7]. This procedure links optical-model (OM) analyses of reaction data at positive energies to structural information at negative energies. In the present work, the properties of proton levels in Ca nuclei as a function of asymmetry δ= N −Z A are investigated with the DOM. Previously measured elastic-scattering and reaction-cross-section data for protons on 40 Ca and 48 Ca as well as level properties of hole states in these nuclei, inferred from (e, e ′ p) reactions, were simultaneously fit. The dependence on δ is extracted and used to predict level properties of 60 Ca.In the DOM, the complex energy-dependent potential felt by the protons is comprised of a real V, volume W v and surface W s imaginary components, plus spin-orbit V so and Coulomb V c potentials,are used. The real part of the nuclear potential is assumed...

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Differential Elastic Cross Sections for Protons Between 10 and 22 MeV onCa40

Cited by 22 publications

References 22 publications

Dispersive-optical-model analysis of the asymmetry dependence of correlations in Ca isotopes

Dispersive-optical-model analysis of the asymmetry dependence of correlations in Ca isotopes

Implications for(d,p)reaction theory from nonlocal dispersive optical model analysis ofCa40(d,p
Waldecker
¹
,
Timofeyuk
²

2016
Phys. Rev. C
20
1
25
1
View full text Add to dashboard Cite

Asymmetry Dependence of Proton Correlations

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Differential Elastic Cross Sections for Protons Between 10 and 22 MeV onCa40

Cited by 22 publications

References 22 publications

Dispersive-optical-model analysis of the asymmetry dependence of correlations in Ca isotopes

Dispersive-optical-model analysis of the asymmetry dependence of correlations in Ca isotopes

Implications for(d,p)reaction theory from nonlocal dispersive optical model analysis ofCa40(d,pWaldecker1, Timofeyuk2 2016Phys. Rev. C201251View full textAdd to dashboardCite

Asymmetry Dependence of Proton Correlations

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Implications for(d,p)reaction theory from nonlocal dispersive optical model analysis ofCa40(d,p
Waldecker
¹
,
Timofeyuk
²

2016
Phys. Rev. C
20
1
25
1
View full text Add to dashboard Cite