Calculation of the complete Glauber amplitude for p+6He scattering

Abu-Ibrahim, B.; Fujimura, Kazumasa; Suzuki, Y.

doi:10.1016/s0375-9474(99)00339-5

Cited by 32 publications

(19 citation statements)

References 31 publications

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“…The OLA cross section is slightly smaller than that of the full calculation, which, differently from a nucleus-nucleus case, holds true for a proton-nucleus system [4,15]. Figures 5.a and 5.b compare the elastic differential cross sections of p+ 6 He and p+ 6 Li at T p =0.7 GeV.…”

Section: Resultsmentioning

confidence: 99%

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Monte Carlo integration in Glauber model analysis of reactions of halo nuclei

et al. 2002

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Reaction and elastic differential cross sections are calculated for light nuclei in the framework of the Glauber theory. The optical phase-shift function is evaluated by Monte Carlo integration.This enables us to use the most accurate wave functions and calculate the phase-shift functions without approximation. Examples of proton nucleus (e.g. p-6 He, p-6 Li) and nucleus-nucleus (e.g. 6 He− 12 C) scatterings illustrate the effectiveness of the method. This approach gives us a possibility of a more stringent analysis of the high-energy reactions of halo nuclei.

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Section: Resultsmentioning

confidence: 99%

“…GeV. An α+n+n cluster-model result[15] is shown for p+ 6 He atT p =0.717 GeV. The statistical error of the Monte Carlo integration is shown for the GFMC and VMC results.…”

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confidence: 99%

Monte Carlo integration in Glauber model analysis of reactions of halo nuclei

et al. 2002

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“…(2) is difficult because the expression involves 3(A P + A T )-dimensional integration. For the 1 H target, it is possible to reduce the dimension of the integral in the Glauber amplitude when the projectile wave function is represented by some specific forms such as a Gaussian form [30] or a Slater determinant of single-particle wave functions [28,[31][32][33]. For nucleus-nucleus scattering, the explicit evaluation is in general tedious, and thus one has to introduce some approximations to reduce the complexity.…”

Section: Evaluation Of Multidimensional Integration In the Glaubmentioning

confidence: 99%

Examination of the C22 radius determination with interaction cross sections

Nagahisa

Horiuchi

2018

Phys. Rev. C

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A nuclear radius of 22 C is investigated with the total reaction cross sections at medium-to high-incident energies in order to resolve the radius puzzle in which two recent interaction cross-section measurements using 1 H and 12 C targets show the quite different radii. The cross sections of 22 C are calculated consistently for these target nuclei within a reliable microscopic framework, the Glauber theory. To describe appropriately such a reaction involving a spatially extended nucleus, the multiple scattering processes within the Glauber theory are fully taken into account, that is, the multidimensional integration in the Glauber amplitude is evaluated using a Monte Carlo technique without recourse to the optical-limit approximation. We discuss the sensitivity of the spatially extended halo tail to the total reaction cross sections. The root-mean-square matter radius obtained in this study is consistent with that extracted from the recent cross-section measurement on 12 C target. We show that the simultaneous reproduction of the two recent measured cross sections is not feasible within this framework.

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“…at E = 41 MeV, Ref. 39), for qualitative assessment of the cross section). In our case, we also see that the calculated DCS is in good agreement with the experiment at not large angles.…”

Section: Resultsmentioning

confidence: 99%

CALCULATION OF THE ELASTIC p⁶He AND p⁸He SCATTERING IN GLAUBER APPROXIMATION

Ibraeva

Imambekov

Dzhazairov-Kahramanov

2013

Int. J. Mod. Phys. E

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The series of calculations of differential cross sections and analyzing powers (АB у B ) of the elastic proton scattering on isotopes P 6 PHe and P 8 PHe was presented in the framework of the theory of Glauber multiple diffraction scattering. The three-body α−n−n and harmonic oscillator wave functions were used for P 6 PHe, for P 8 PHe -the function of density distribution in LSSM. For рP 6 PНе scattering the expansion of the Glauber operator into a series of multiple scattering is written in the form consistent with the picture of weakly bound clusters in halo-nuclei, for рP 8 PНе scattering the members of single-and double collisions are included in the operator. We have done the comparison of our results with available experimental data (including new data of АB у B for рP 6 PНе scattering at the E = 71 MeV/nucleon) and with the calculations results in the other approaches (high-energy, optical model, RMF). Also, the comparison of the characteristics of two isotopes P 6 PНе and P 8 PНе was made, which showed that they correlate quite well with each other. Keywords: Glauber multiple diffraction scattering theory; three-body cluster model; differential cross-sections; analyzing powers. PACS Number(s): 21.45.+v, 21.60.Gx, 24.10.Ht, 25.40.Cm. P Ref. 4 and 0.20 (GeV/c)P 2 P Ref. 3. J J J Ψ T to theT T finalT J M J f ′ Ψ T state ofT T the nucleusT under effects of T the operatorT Ω , in case T of elastic scatteringT J J ⋅ χ = J J J J s s S s M M M J i s JM f M M M M s if s if c if M M M M J d d J J

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Calculation of the complete Glauber amplitude for p+6He scattering

Cited by 32 publications

References 31 publications

Monte Carlo integration in Glauber model analysis of reactions of halo nuclei

Monte Carlo integration in Glauber model analysis of reactions of halo nuclei

Examination of the C22 radius determination with interaction cross sections

CALCULATION OF THE ELASTIC p⁶He AND p⁸He SCATTERING IN GLAUBER APPROXIMATION

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Calculation of the complete Glauber amplitude for p+6He scattering

Cited by 32 publications

References 31 publications

Monte Carlo integration in Glauber model analysis of reactions of halo nuclei

Monte Carlo integration in Glauber model analysis of reactions of halo nuclei

Examination of the C22 radius determination with interaction cross sections

CALCULATION OF THE ELASTIC p6He AND p8He SCATTERING IN GLAUBER APPROXIMATION

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CALCULATION OF THE ELASTIC p⁶He AND p⁸He SCATTERING IN GLAUBER APPROXIMATION