Heavy-ion scattering at intermediate and high energies

Donnelly, T. W.; Dubach, J.; Walecka, John Dirk

doi:10.1016/0375-9474(74)90626-5

Cited by 26 publications

(4 citation statements)

References 17 publications

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“…6 Proton elastic scatterings with 9 Li and 11 Li at E p = 62 MeV have also been studied by Hirenzaki et al 4 using the Born approximation and the optical potential approach. While a number of studies [7][8][9] have been made to describe elastic scattering processes between heavy ions within the framework of the eikonal approximation methods. The phase shifts in the eikonal approximation are derived from the integral equation by further approximation of the WKB results.…”

Section: Introductionmentioning

confidence: 99%

“…The phase shifts in the eikonal approximation are derived from the integral equation by further approximation of the WKB results. 7,8 The physical assumption of the eikonal approximation is that the energy of a projectile is so sufficiently high that its classical trajectory is slightly deflected from a straight line. Then, the integral in the equation for the phase shifts may be performed along an almost straight-line path.…”

Section: Introductionmentioning

confidence: 99%

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EIKONAL MODEL ANALYSIS FOR ⁹Li+p AND ¹¹Li+p ELASTIC SCATTERINGS AND HALO EFFECT

Kim

Hoe

2001

Int. J. Mod. Phys. E

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The elastic angular distributions for 9 Li + p and 11 Li + p at E lab /A = 60 and 62 MeV/ nucleon, respectively, have been analyzed within the framework of the eikonal model. It is assumed that 11 Li has the halo structure of a 9 Li core plus two weakly bound neutrons and is treated such that the nuclear potential has a sum of the core and halo neutron contributions. We have found that the break-up effect of halo neutrons is essential to understand the elastic cross sections of 11 Li + p system at E lab /A = 62 MeV/nucleon. The near-and the far-side decompositions of elastic cross sections have also been performed by following the Fuller's formalism. *

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

EIKONAL MODEL ANALYSIS FOR ⁹Li+p AND ¹¹Li+p ELASTIC SCATTERINGS AND HALO EFFECT

Kim

Hoe

2001

Int. J. Mod. Phys. E

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“…[18]. On choosing the z axis perpendicular to the transferred momentum q and separating r into its components (b, z), the eikonal Coulomb phase shift is given I [19] by OO (b) = -dz V (r) = 2i)7ln(kb) (2.8) and one gets '('k r~@ +. &k. r ) = e'~e'!…”

Section: First-order Transitions In the Distorted Wave Eikonal Apmentioning

confidence: 99%

Coulomb and nuclear excitation in intermediate-energy heavy-ion collisions

1994

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Following previous works where the field of application of Glauber methods were extended to heavy-ion scattering in the energy range of 30 -400 Mev/nucleon, we develop here a formalism which includes both Coulomb and nuclear excitation processes and explicitly accounts for the effects arising from the energy difFerence in different channels. First order inelastic excitations are described in the framework of a distorted wave eikonal approximation; in this connection nuclear phase shifts and form factors are described in terms of microscopic nucleon-nucleon interactions while the Coulomb excitation is described through a proper manipulation of phenomenological form factors. Several specific examples are discussed. The interest is then focused on second-order processes, more specifically on the efFects introduced in the elastic channel by the coupling to the inelastic channels, and the corresponding Coulomb and nuclear polarization potentials are derived and discussed. On the ground of these achievements a general formalism is built up, capable of describing coupled-channel problems at any order of scattering. Due to the eikonal propagation, the multichannel multistep series leads to simple algebraic forms for each partial-wave scattering matrix, which involve powers of a channel matrix whose elements only depend on the impact parameter.PACS number(s):

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“…The range of validity of the eikonal approximation has been studied in the case of optical potential scattering, comparing the approximated results with the exact ones [12]. Large efforts have been devoted to systematic corrections to the bare eikonal approximation [13] and the convergence of the eikonal expansion have been still recently subject of investigation [14].…”

Section: Introductionmentioning

confidence: 99%

Range of validity of the eikonal approximation within the coupled-channel description of heavy-ion scattering processes

Lenzi

Vitturi

Zardi

1995

Z. Physik A - Hadrons and Nuclei

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Abstract. The validity of the eikonal approximation in heavy-ion reactions is systematically investigated for both potential scattering and coupled-channel processes. Simple prescriptions are advanced to account for Coulomb and nuclear distortions of the trajectory within the eikonal description. The strong nuclear absorption characterizing heavy-ion collision favours the extension of the limit of validity of the eikonal approximation to larger angles and to lower energies than probably expected, i.e. of the order of 30-40 MeV per nucleon in the case of elastic scattering or inelastic processes with very low excitation energies. In the case of inelastic excitation to highlying modes, and in particular at the lowest bombarding energies, the agreement between the eikonal predictions and the exact ones is worsened by the finite Q-values, but not invalidated if proper corrections for the momentummismatch are accounted for. A similar argument also applies to the strong-coupling situations, where the discrepancies are amplified by the multistep nature of the process.

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Heavy-ion scattering at intermediate and high energies

Cited by 26 publications

References 17 publications

EIKONAL MODEL ANALYSIS FOR ⁹Li+p AND ¹¹Li+p ELASTIC SCATTERINGS AND HALO EFFECT

EIKONAL MODEL ANALYSIS FOR ⁹Li+p AND ¹¹Li+p ELASTIC SCATTERINGS AND HALO EFFECT

Coulomb and nuclear excitation in intermediate-energy heavy-ion collisions

Range of validity of the eikonal approximation within the coupled-channel description of heavy-ion scattering processes

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Heavy-ion scattering at intermediate and high energies

Cited by 26 publications

References 17 publications

EIKONAL MODEL ANALYSIS FOR 9Li+p AND 11Li+p ELASTIC SCATTERINGS AND HALO EFFECT

EIKONAL MODEL ANALYSIS FOR 9Li+p AND 11Li+p ELASTIC SCATTERINGS AND HALO EFFECT

Coulomb and nuclear excitation in intermediate-energy heavy-ion collisions

Range of validity of the eikonal approximation within the coupled-channel description of heavy-ion scattering processes

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EIKONAL MODEL ANALYSIS FOR ⁹Li+p AND ¹¹Li+p ELASTIC SCATTERINGS AND HALO EFFECT

EIKONAL MODEL ANALYSIS FOR ⁹Li+p AND ¹¹Li+p ELASTIC SCATTERINGS AND HALO EFFECT