Criteria for the Elimination of Discrete Ambiguities in Nuclear Optical Potentials

Goldberg, D.A.; Smith, Stephen M.

doi:10.1103/physrevlett.29.500

Cited by 200 publications

(66 citation statements)

References 8 publications

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“…[130]), it is highly desirable to have further high-precision measurement for the elastic 11 Li+ 12 C scattering at 30 -50 MeV/nucleon, which would not only give a final answer to this intriguing question but also provide valuable scattering data to further probe the 2n-halo wave function of 11 Li. We finally note that the refractive pattern predicted by us [130] for the elastic 8 He scattering around 30 MeV/nucleon has been confirmed in the elastic 8 He+ 4 He scattering data measured at 26 MeV/nucleon by Wolski et al [135], where one observed a broad shoulder-like maximum of the elastic cross section at large angles which is dominated by the farside scattering. These data are, however, not complete and lack the small-angle diffractive part which makes an accurate OM or folding model analysis difficult.…”

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confidence: 78%

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Nuclear rainbow scattering and nucleus–nucleus potential

Khoa

Oertzen

Bohlen

et al. 2007

J. Phys. G: Nucl. Part. Phys.

203

308

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Abstract. Elastic scattering of α-particle and some tightly-bound light nuclei has shown the pattern of rainbow scattering at medium energies, which is due to the refraction of the incident wave by a strongly attractive nucleus-nucleus potential. This review gives an introduction to the physics of the nuclear rainbow based essentially on the optical model description of the elastic scattering. Since the realistic nucleusnucleus optical potential (OP) is the key to explore this interesting process, an overview of the main methods used to determine the nucleus-nucleus OP is presented. Given the fact that the absorption in a rainbow system is much weaker than that usually observed in elastic heavy-ion scattering, the observed rainbow patterns were shown to be linked directly to the density overlap of the two nuclei penetrating each other in the elastic channel, with a total density reaching up to twice the nuclear matter saturation density ρ 0 . For the calculation of the nucleus-nucleus OP in the doublefolding model, a realistic density dependence has been introduced into the effective M3Y interaction which is based originally on the G-matrix elements of the Reid-and Paris nucleon-nucleon (NN) potentials. Most of the elastic rainbow scattering data were found to be best described by a deep real OP like the folded potential given by this density dependent M3Y interaction. Within the Hartree-Fock formalism, the same NN interaction gives consistently a soft equation of state of cold nuclear matter which has an incompressibility constant K ≈ 230 − 260 MeV. Our folding analysis of numerous rainbow systems has shown that the elastic α-nucleus and nucleus-nucleus refractive rainbow scattering is indeed a very helpful experiment for the determination of the realistic K value. The refractive rainbow-like structures observed in other quasielastic scattering reactions have also been discussed. Some evidences for the refractive effect in the elastic scattering of unstable nuclei are presented and perspectives for the future studies are discussed.

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confidence: 78%

“…As already mentioned, the first observation of nuclear rainbow was made some 30 years ago by Goldberg et al [8,9,10] in their experiments on elastic α-nucleus scattering at E lab ≈ 140 MeV (see Fig. 6).…”

Section: Nuclear Rainbowmentioning

confidence: 78%

Nuclear rainbow scattering and nucleus–nucleus potential

Khoa

Oertzen

Bohlen

et al. 2007

J. Phys. G: Nucl. Part. Phys.

203

308

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“…The Coulomb and centrifugal interactions of two nuclei are well known, but the nuclear component is far from being fully understood [11,12]. The nuclear component of the interaction potential is often parameterized by the optical potential, and have the Woods-Saxon shape [13][14][15]. The real part of the optical potential can be extracted by fitting the elastic scattering angular distributions [16].…”

Section: Introductionmentioning

confidence: 99%

Optical potential parameters from¹²C + Zr elastic scattering

Lin

Sun

et al. 2016

EPJ Web of Conferences

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Abstract. The angular distributions of 12 C + 90,92,94,96 Zr elastic scattering were measured with the Q3D magnetic spectrometer at the HI-13 tandem accelerator, Beijing. The real part of optical potential were extracted by analysing these angular distributions. The analysis enable us to avoid the influence of Coulomb effect and to observe the dependence of optical potential on the nuclear properties. With the deduced potential parameters, the experimental elastic scattering angular distributions can be reproduced very well. Formulas to infer global heavy-ion potential parameters were obtained then by analyzing the extracted optical potential parameters. The formulas can be used widely in heavy-ion nuclear reactions.

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“…In the nucleus-nucleus case, significant progress has been achieved concerning this question during the last decade [1], as a consequence of the measurement of accurate and extensive elastic scattering data at intermediate energies. Nuclear rainbow scattering, first observed in a systems [2][3][4] and later in light heavy ions [5][6][7], probes the nucleus-nucleus potential not only at the surface region but also at smaller distances, and ambiguities in the real part of the potentials have been removed. The resulting phenomenological interactions have significant dependence upon the bombarding energies.…”

mentioning

confidence: 99%

“…These systems correspond to quite different nonlocality range parameters: b 0.075 fm ( 12 C 1 208 Pb), b 0.14 fm ( 12 C 1 12 C), b 0.23 fm (a 1 58 Ni), and b 0.28 fm (a 1 12 C). For the first two systems, the data are available at a wide energy range (1 # E lab ͞A proj # 200 MeV͞nucleon), whereas the last two systems represent typical cases of refractive scattering that have been studied in details in the early 1970s [2][3][4].…”

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confidence: 99%

Nonlocal Description of the Nucleus-Nucleus Interaction

et al. 1997

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A parameter-free nonlocal double-folding-inspired interaction is proposed for the nucleus-nucleus systems. Excellent reproductions of elastic scattering differential cross section data were obtained for several systems over a wide range of bombarding energies. Our results should be of value in the description of the scattering of other many-body systems. [S0031-9007(97)05269-1] PACS numbers: 21.30. Fe, 25.70.Bc The mean field interaction between complex quantum many-body systems (nucleus-nucleus, cluster-cluster, etc.) is still an open question in current physics research. The study of this matter is a fundamental step in the understanding of many-body dynamics. In the nucleus-nucleus case, significant progress has been achieved concerning this question during the last decade [1], as a consequence of the measurement of accurate and extensive elastic scattering data at intermediate energies. Nuclear rainbow scattering, first observed in a systems [2][3][4] and later in light heavy ions [5][6][7], probes the nucleus-nucleus potential not only at the surface region but also at smaller distances, and ambiguities in the real part of the potentials have been removed. The resulting phenomenological interactions have significant dependence upon the bombarding energies. Some theoretical models have been developed to account for this energy dependence through realistic mean field potentials. Nowadays, the most successful models seem to be those based on the DDM3Y interaction [8][9][10] which is an improvement of the originally energyindependent double-folding potential [11]. But, in order to fit the data, the density-and energy-dependent DDM3Y potential needs a renormalization factor which besides being system dependent [1,12] is still slightly energy dependent [1].In this Letter we show, by an extensive description of elastic scattering data using an optical integro-differential equation, that the dependence on the bombarding energy of the real bare potential is mostly due to the intrinsically nonlocal nature of the effective one-body interaction. The real bare potential (by bare we mean the average, mean field, interaction with no coupled channels effects) is constructed using the folding model. It contains no adjustable parameters and is energy independent. The absorptive part is taken to be a three parameters WoodsSaxon interaction. We also supply a simple approach to obtain the local-equivalent energy-dependent potential.Before we set the stage for the analysis of elastic scattering data, we first describe our theoretical model.When dealing with nonlocal interactions, one is required to solve the integro-differential equationwhere, on physical grounds [13], the kernel function is taken to be symmetric: U͑ R, R 0 ͒ U͑ R 0 , R͒. We take for U͑ R, R 0 ͒ the following form motivated by the physics problem at handIn our analysis, the Coulomb interaction, V C ͑R͒, was obtained using an expression for the double sharp cutoff folded potential [14] and the local energy-dependent imaginary potential, W ͑R, E͒, was taken t...

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Criteria for the Elimination of Discrete Ambiguities in Nuclear Optical Potentials

Cited by 200 publications

References 8 publications

Nuclear rainbow scattering and nucleus–nucleus potential

Nuclear rainbow scattering and nucleus–nucleus potential

Optical potential parameters from¹²C + Zr elastic scattering

Nonlocal Description of the Nucleus-Nucleus Interaction

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Criteria for the Elimination of Discrete Ambiguities in Nuclear Optical Potentials

Cited by 200 publications

References 8 publications

Nuclear rainbow scattering and nucleus–nucleus potential

Nuclear rainbow scattering and nucleus–nucleus potential

Optical potential parameters from12C + Zr elastic scattering

Nonlocal Description of the Nucleus-Nucleus Interaction

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Product

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Optical potential parameters from¹²C + Zr elastic scattering