Elastic alpha-nucleus scattering at high energies

Viollier, Raoul D.; Turtschi, E

doi:10.1016/0003-4916(80)90211-0

Cited by 37 publications

(17 citation statements)

References 15 publications

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“…As an example, the potential parameters of the optical potentials reported in the literature [12,14] changed randomly and did not follow a certain trend. Moreover, maxima and minima that appear in the experimental elastic differential cross sections were not well accounted for [3]. Undoubtedly, these maxima and minima are crucial in fixing the potential parameters and in determining correctly the nature of the potential.…”

Section: Resultsmentioning

confidence: 99%

A full relativistic treatment in analyzing $\alpha $-$^{12}$C and $\alpha $-$^{40,42,44,48}$Ca elastic scattering data at 1.37 GeV

Shehadeh¹

2015

Turk J Phys

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Abstract:A simple optical potential of Woods-Saxon form is used within the framework of the Klein-Gordon equation, for the first time, to analyze the elastic differential cross sections for 1.37 GeV (lab) incident α -particles on 12 C and calcium isotopes 40,42,44,48 Ca. The relativistic energy-momentum relation assures the need for relativistic calculations.As such, the previously determined parameters of all optical potential forms, used in the nonrelativistic Schrödinger equation and successfully analyzing the α -12 C and α - 40,42,44,48 Ca data at 1.37 GeV, are to be revised. In the presence of Coulomb potential, as in the cases under consideration, the asymptotic solution of the Klein-Gordon equation differs from the corresponding one for the Schrödinger equation and the codes are modified accordingly.

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Section: Resultsmentioning

confidence: 99%

A full relativistic treatment in analyzing $\alpha $-$^{12}$C and $\alpha $-$^{40,42,44,48}$Ca elastic scattering data at 1.37 GeV

Shehadeh¹

2015

Turk J Phys

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“…The first of them is the rigid projectile (RP) approximation, 175,176 which treats the incident nucleus as an elementary object. We use this approach to describe the elastic deuteron and α-particle scattering from various nuclei.…”

Section: Light-nuclei Scattering From α-Cluster Nucleimentioning

confidence: 99%

“…In the rigid projectile (RP) approximation 175,176 the incident nucleus is treated as an elementary object, and the MDST nucleus-nucleus scattering amplitude is constructed from the amplitudes of the incident particle scattering on the components of the target nucleus. The purpose of introducing the RP-approximation is to reduce the problem of nucleus-nucleus collision to the usual MDST approach, i.e., to the consideration of a point-like particle scattering from multiple scattering centers.…”

Section: Scattering Of α-Particles From α-Cluster Nucleimentioning

confidence: 99%

Intermediate energy multiple scattering of particles by light α-cluster nuclei

Berezhnoy

Mikhailyuk

Pilipenko

2015

Int. J. Mod. Phys. E

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The survey of cluster models used for the description of the properties of nuclei was carried out. The interaction of intermediate protons with various odd and even nuclei is reviewed. The influence of the clusterization effects on the behavior of the elastic and inelastic scattering observables are demonstrated by using multiple diffraction scattering theory (MDST) and the α-cluster model with dispersion. The comparison of the calculations, based on two-and four-nucleon correlation models, have been performed. The elastic scattering of light nuclei from α-cluster nuclei is analyzed. The results given in this review suggest that the MDST variants based on cluster models seem to be rather attractive as compared with those based on the single-nucleon approximation. Such approaches, considering nucleon and light-nuclei scattering on α-clusters, are among the best examples of using Glauber's MDST, since they automatically include the internal nucleon-nucleon correlations both in the incident and target nuclei. Besides, α-clusters have zero spin and, in this case, the scattering amplitude does not involve explicit consideration of spin-spin effects. Moreover, these models often permit an accurate analytical calculation of the MDST series.

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“…Thus, some classes of diagrams with nonleading combinatorial factors give significant contributions to the final total value. The rigid target (or rigid projectile) approximation [18,19] is more explicit than the optical approximation. It corresponds to averaging B| .…”

Section: Elastic Nucleus-nucleus Scattering In the Glauber Theorymentioning

confidence: 99%

Nuclear radii calculations in various theoretical approaches for nucleus-nucleus interactions

2009

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The information about sizes and nuclear density distributions in unstable (radioactive) nuclei is usually extracted from the data on interaction of radioactive nuclear beams with a nuclear target. We show that in the case of nucleus-nucleus collisions the values of the parameters depend somewhat strongly on the considered theoretical approach and on the assumption about the parametrization of the nuclear density distribution. The obtained values of root-mean-square radii (R rms ) for stable nuclei with atomic weights A = 12-40 vary by approximately 0.1 fm when calculated in the optical approximation, in the rigid target approximation, and using the exact expression of the Glauber theory. We present several examples of R rms radii calculations using these three theoretical approaches and compare these results with the data obtained from electron-nucleus scattering.

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Elastic alpha-nucleus scattering at high energies

Cited by 37 publications

References 15 publications

A full relativistic treatment in analyzing $\alpha $-$^{12}$C and $\alpha $-$^{40,42,44,48}$Ca elastic scattering data at 1.37 GeV

A full relativistic treatment in analyzing $\alpha $-$^{12}$C and $\alpha $-$^{40,42,44,48}$Ca elastic scattering data at 1.37 GeV

Intermediate energy multiple scattering of particles by light α-cluster nuclei

Nuclear radii calculations in various theoretical approaches for nucleus-nucleus interactions

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