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Mohr, P.; Faria, P. N. de; Lichtenthäler, R.; Pires, K. C. C.; Guimarães, V.; Lépine‐Szily, A.; Mendes, D. R.; Arazi, A.; Barioni, A.; Morcelle, V.; Morais, M. C.

doi:10.1103/physrevc.82.044606

Cited by 31 publications

(10 citation statements)

References 69 publications

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“…[3] with additional data from Ref. [13].) The error bars of the new data (solid data points) are omitted because they are smaller than the point size.…”

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Total reaction cross sections from elasticα-nucleus scattering angular distributions around the Coulomb barrier

Mohr¹,

Galaviz²,

Fülöp³

et al. 2010

Phys. Rev. C

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The total reaction cross section σ reac is a valuable measure for the prediction of α-induced reaction cross sections within the statistical model and for the comparison of scattering of tightly bound projectiles to weakly bound and exotic projectiles. Here we provide the total reaction cross sections σ reac derived from our previously published angular distributions of elastic α-nucleus scattering on 89 Y, 92 Mo, 112,124 Sn, and 144 Sm at energies around the Coulomb barrier. The total reaction cross section σ reac is related to the complex scattering matrix S L = η L exp (2iδ L ) by the wellknown relationwhere k = √ 2µE/h is the wave number and η L and δ L are the real reflexion coefficients and scattering phase shifts. Usually, experimental elastic-scattering angular distributions are analyzed using a complex optical potential. Although there are considerable uncertainties in the extraction of the optical potential from elastic scattering at low energies around the Coulomb barrier, the underlying reflexion coefficients and phase shifts are well defined, as long as the measured angular distribution covers the full angular range from 0 • to 180 • and it is well described by the chosen optical potential. Thus, the total reaction cross section σ reac can be extracted from experimental elastic-scattering angular distributions with small uncertainties. Although the analysis uses optical potentials, that is, input from theory, in practice the obtained total reaction cross section σ reac can be considered an experimental quantity because of its insensitivity to the potential as long as the potential accurately reproduces the elastic-scattering angular distribution.A completely model-independent determination of σ reac is also possible by a direct fit of the reflexion coefficients η L and phase shifts δ L to the angular distribution. However, in practice such fits are not widely used because η L and δ L have to be determined for angular momenta up to about L = 30, that is, around 60 parameters have to be fitted simultaneously. This may lead to an oscillatory behavior of the calculated cross sections in angular regions where no experimental data are available to restrict the multiparameter model-independent fit [1]. Therefore, model-independent analyses are not the ideal tool for the determination of total reaction cross sections σ reac .It has unfortunately become a common practice in optical model analyses of elastic α-nucleus scattering data not to give σ reac explicitly, although this number is implicitly determined in any optical model calculation, as Eq. (1) shows. Nevertheless it has been noticed recently that σ reac is a very valuable quantity in several respects. First, a significantly different energy dependence of σ reac has been observed in the comparison of scattering of tightly bound projectiles like α or 16 O, weakly bound projectiles like 6,7,8 Li, and exotic projectiles with halo properties like 6 He and 11 Be (e.g., Refs. [2-5]). As a consequence, σ reac is practically always provided in analyses of 6 ...

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“…[3] with additional data from Ref. [13].) The error bars of the new data (solid data points) are omitted because they are smaller than the point size.…”

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“…4 of Ref. [3] with new additional data points from this study and from 120 Sn [13]. For this comparison we use the so-called reduced energy E red and the reduced reaction cross section σ red , which are given by Fig.…”

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confidence: 99%

Total reaction cross sections from elasticα-nucleus scattering angular distributions around the Coulomb barrier

Mohr¹,

Galaviz²,

Fülöp³

et al. 2010

Phys. Rev. C

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“…In order to describe the intermediate rise within the optical model (OM), we supplemented the imaginary part of the DF potential with a surface (derivative) Woods-Saxon potential with adjustable parameters [17]. The fit was weakly sensitive to the normalization factor N i , so the latter was conveniently kept fixed to N i = 0.6 (see the discussion in Sec.…”

Section: A Optical Model and Coupled Channels (Cc) Calculationsmentioning

confidence: 99%

“…In the low-energy domain ( 10 MeV/nucleon), the projectile cluster and halo structure manifests as an enhancement in the total reaction cross section and a strong coupling between different reaction channels [15][16][17][18][19][20][21][22][23][24]. The identification of the reaction channels that effectively contribute to the total reaction cross section enhancement is still a challenge for both theory and experiment.…”

Section: Introductionmentioning

confidence: 99%

Evidence of the effect of strong stripping channels on the dynamics of the Li8+Ni58 reaction

et al. 2021

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The 8 Li + 58 Ni collision is investigated at 23.9, 26.1, 28.7, and 30 MeV bombarding energies. Quasielastic angular distributions and the singles 7 Li angular and energy distributions are presented. Coupled-reaction channels (CRC) calculations, which include the coupling of the elastic channel to 59 Ni = 58 Ni + n states above and below the neutron threshold, provide a simultaneous description of the quasielastic and transfer distributions and evidence the strong effect of the one-neutron transfer/breakup channels on the quasielastic scattering. The 7 Li angular and energy distributions have been also successfully analyzed combining the continuum discretized coupled channels (CDCC) method, for the elastic breakup, and the IAV model of Ichimura, Austern, and Vincent [Phys. Rev. C 32, 431 (1985)], for the nonelastic breakup. These calculations indicate that most of the 7 Li yields are due to nonelastic breakup contributions (transfer), whereas elastic breakup plays a minor role.

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“…Elastic scattering angular distributions of 12 C,9 Be and9,11 Li+ 208 Pb,11 Be+ 197 Au and 6 He+ 120 Sn. Experimental data are extracted from[14,36,51,60,61]. Curves represent OM calculations based on Eq.…”

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Systematic calculations of reactions with exotic and stable nuclei to establish a unified theoretical approach

Alvarez,

Rodriguez-Gallardo,

Fernandez-Garcia

et al. 2021

Preprint

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This manuscript reports on systematical optical model (OM) and continuum discretized coupled channel (CDCC) calculations applied to describe the elastic scattering angular distributions of exotic and stable nuclei projectiles on heavy targets. Our optical potential (OP) is composed by the nuclear microscopic double folding São Paulo potential (SPP), derived from the non-local nature of the interaction, and the Coulomb dipole polarization (CDP) potential, derived from the semi-classical theory of Coulomb excitation. The OP is compared to the trivial equivalent local potential (TELP), extracted from CDCC calculations. The OM and CDCC predictions corroborate each other and account for important differences in the nuclei reaction mechanisms, which are directly related to their structural properties. Thus, OM and CDCC establish a common basis for analysing or even predicting on exotic and stable nuclei reactions.

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Comparison ofSn120(He6,
P. Mohr¹,
P. N. de Faria²,
R. Lichtenthäler³
et al.

Cited by 31 publications

References 69 publications

Total reaction cross sections from elasticα-nucleus scattering angular distributions around the Coulomb barrier

Total reaction cross sections from elasticα-nucleus scattering angular distributions around the Coulomb barrier

Evidence of the effect of strong stripping channels on the dynamics of the Li8+Ni58 reaction

Systematic calculations of reactions with exotic and stable nuclei to establish a unified theoretical approach

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Comparison ofSn120(He6,P. Mohr1, P. N. de Faria2, R. Lichtenthäler3 et al.

Cited by 31 publications

References 69 publications

Total reaction cross sections from elasticα-nucleus scattering angular distributions around the Coulomb barrier

Total reaction cross sections from elasticα-nucleus scattering angular distributions around the Coulomb barrier

Evidence of the effect of strong stripping channels on the dynamics of the Li8+Ni58 reaction

Systematic calculations of reactions with exotic and stable nuclei to establish a unified theoretical approach

Contact Info

Product

Resources

About

Comparison ofSn120(He6,
P. Mohr¹,
P. N. de Faria²,
R. Lichtenthäler³
et al.