Integral formula for calculating rigorously the full Glauber series of the elastic scattering between two cluster nuclei

El-Gogary, M. M. H.

doi:10.1103/physrevc.68.054609

Cited by 8 publications

(7 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Theoretical interpretation of this data at high energy of 650 MeV was done within the Glauber multiple scattering theory for nucleusnucleus scattering using the harmonic oscillator shell model wave functions for the 12 C nucleus and using the nucleonnucleon data [11], or nucleon-nucleus scattering amplitudes [12], and deuteron proton scattering data [13] as input. At lower energies T = 94 MeV, 125 MeV, 156 MeV the Glauber theory was applied to the d 12 C elastic scattering in [14].…”

Section: Theoretical Background and Motivationmentioning

confidence: 99%

Measurement of deuteron carbon vector analyzing powers in the kinetic energy range 170–380 MeV

et al. 2020

View full text Add to dashboard Cite

A measurement of vector analyzing powers in elastic deuteron-carbon scattering has been performed at the Cooler Synchrotron COSY of Forschungszentrum Jülich, Germany. Seven kinetic beam energies between 170 and 380 MeV have been used. A vector-polarized beam from a polarized deuteron source was injected, accelerated to the final desired energy and stored in COSY. A thin needle-shaped diamond strip was used as a carbon target, onto which the beam was slowly steered. Elastically scattered deuterons were identified in the forward direction using various layers of scintillators and straw tubes. Where data exist in the literature (at 200 and 270 MeV), excellent agreement of the angular shape was found. The beam polarization of the presented data was deduced by fitting the absolute scale of the analyzing power to these references. Our results extend the world data set and are necessary for polarimetry of future electric dipole moment searches at storage rings. They will as well serve as an input for theoretical description of polarized hadron-hadron scattering.

show abstract

Section: Theoretical Background and Motivationmentioning

confidence: 99%

Measurement of deuteron carbon vector analyzing powers in the kinetic energy range 170–380 MeV

et al. 2020

View full text Add to dashboard Cite

show abstract

“…The approaches suitable for use at intermediate energies (E d = 200 − 1000 MeV) are the distorted wave impulse approximation, [206][207][208][209] relativistic and nonrelativistic optical models with various nucleon-nucleus optical potentials 210,211 as well as the multiple diffraction scattering theory (MDST). [212][213][214][215][216][217] In the case of deuteron scattering on zero-spin nuclei, the scattering amplitude (51) becomes a matrix in the spin space and we can write its matrix elements as…”

Section: Rp-approach For Deuteron Elastic Scattering From 12 C and 16mentioning

confidence: 99%

“…The results of the calculations, which use the deuteron ground-state wave function in the forms (215)- (217) and (221)- (223), are given in Fig. 22 by solid and dashed curves, respectively.…”

Section: -72mentioning

confidence: 99%

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

Berezhnoy

Mikhailyuk

Pilipenko

2015

Int. J. Mod. Phys. E

View full text Add to dashboard Cite

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.

show abstract

“…[12], with Brooke, they treated 11 B+ 12 C scattering with non-eikonal corrections, modifying the trajectory at lower energies. El-Gogary [13] treated cluster nuclei to evaluate the Glauber formula. El-Gogary et al [14] used an approximate center-of-mass correction with a double Gaussian form for the density.…”

Section: The Use Of the Glauber Approximation For Nucleus-nucleus Scamentioning

confidence: 99%

“…we can perform the integral on Q to find ρ s (q) = e − (A−1)q 2 4Aα 2 (13) so that the auxiliary density has the same (Gaussian) form as the single-particle density but with a larger rms radius: r 2 a = Ar 2 s /(A − 1). We can also calculate the transform of the full density (Eq.…”

Section: E Center-of-mass Treatmentmentioning

confidence: 99%

Monte Carlo eikonal scattering

Gibbs

Dedonder

2012

Phys. Rev. C

View full text Add to dashboard Cite

Background The eikonal approximation is commonly used to calculate heavy-ion elastic scattering. However, the full evaluation has only been done (without the use of Monte Carlo techniques or additional approximations) for α − α scattering.Purpose Develop, improve and test the Monte Carlo eikonal method for elastic scattering over a wide range of nuclei, energies and angles.Method Monte Carlo evaluation is used to calculate heavy-ion elastic scattering including the center-of-mass correction and the Coulomb interaction.Results Angular distributions are presented for a number of nuclear pairs over a wide energy range using nucleon-nucleon scattering parameters taken from phase-shift analyses and densities from independent sources. A technique for the efficient expansion of the Glauber amplitude in partial waves is developed. ConclusionThe center-of-mass and Coulomb corrections are essential. Angular distributions can be predicted only up to certain angles which vary with the nuclear pairs but all correspond to a momentum transfer near 1 fm −1 .

show abstract

Integral formula for calculating rigorously the full Glauber series of the elastic scattering between two cluster nuclei

Cited by 8 publications

References 27 publications

Measurement of deuteron carbon vector analyzing powers in the kinetic energy range 170–380 MeV

Measurement of deuteron carbon vector analyzing powers in the kinetic energy range 170–380 MeV

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

Monte Carlo eikonal scattering

Contact Info

Product

Resources

About