Modified Glauber model II description for heavy-ion elastic scattering

Hoe, Moon

doi:10.1103/physrevc.46.1026

Cited by 16 publications

(7 citation statements)

References 14 publications

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“…The Glauber model is reasonable for energies of hundreds MeV and higher. However, at low energies, the modified Glauber models are used [7,25,[75][76][77]. By use of the eikonal approximation one avoids the calculation of scattering wave functions by solving numerically the Shrödinger equation for each partial wave.…”

Section: The Eikonal Approximationmentioning

confidence: 99%

Analysis of proton-Be9,10,11,12scattering using an energy-, density-, and isospin-dependent microscopic optical potential

2014

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The proton elastic scattering of 9,10,11,12 Be isotopes at a wide energy range from 3 to 200 MeV/nucleon is analyzed using the optical model with the partial-wave expansion method. The microscopic optical potential (OP) is taken within the single-folded model. The density-and isospin-dependent M3Y-Paris nucleon-nucleon (NN) interaction is used for the real part and the NN-scattering amplitude of the high-energy approximation is used for the imaginary one. The surface contribution to the imaginary part is included. The analysis reveals that the partial-wave expansion with this microscopic OP reproduces well the basic scattering observables at energies up to 100 MeV/nucleon. For higher energies, the eikonal approximation with the same OP gives results better than the partial-wave expansion calculations. The volume integrals of the OP parts have systematic energy dependencies, and they are parameterized in empirical formulas. In addition, the volume integral's parametrizations determine the true energy dependence for the depths of the OP parts. The study of increasing the number of neutrons for a given isotope shows that the imaginary volume integrals and reaction cross sections depend on the matter radii of the scattered nuclei. Further, they are found to have larger values for the halo nucleus scattering ( 11 Be + p) than those for the scattering of their isotopes.

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Section: The Eikonal Approximationmentioning

confidence: 99%

Analysis of proton-Be9,10,11,12scattering using an energy-, density-, and isospin-dependent microscopic optical potential

2014

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“…There have been various prescriptions [13,14] to modify the NN cross sections due to nuclear density. Most of the work reported earlier [7,8,10,9,13,14] has been done using Gaussian densities. The reaction cross section is sensitive to surface density of the colliding nuclei.…”

Section: Introductionmentioning

confidence: 99%

“…Later the non eikonal nature of the trajectory around r c , has also been taken into account [9]. Replacing r c by the distance r cn of closest approach in the presence of both the Coulomb and the nuclear field gives the Coulomb plus Nuclear modified Glauber model (CNMGM) [9,10]. This model (CMGM/CNMGM) has been widely used in recent literature [11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Glauber model and the heavy ion reaction cross section

Shukla

2003

Phys. Rev. C

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“…However, in his work Cha uses for V" the Woods-Saxon potential given by Vp r ro(AI' -+A2 ) I 1+exp &v ) For self-consistency the potential given by expression (7) should be used. Since the purpose of the present paper is to demonstrate the effect of the additional presence of the nuclear field in the context of previous papers [8,9], the Woods-Saxon optical model values of V"(r) are used. Charagi [9] found Cha's expression to be unsatisfactory at lower energies.…”

Section: Formalismmentioning

confidence: 99%

“…of closest approach as well as with the noneikonal trajectory [7] around r, in the presence of the Coulomb field. It is suggested by Cha [8] to replace r, by the distance r,"of closest approach in the presence of the nuclear field as well. Though Cha shows an improvement with such a modification at higher energies, Charagi [9] finds that at lower energies the transparency function oscillates wildly and leads to inaccurate values of the total reaction cross section with Cha's prescription.…”

Section: Introductionmentioning

confidence: 99%

Trajectory modifications in the Glauber model for heavy ions

Gupta¹,

Shukla

1995

Phys. Rev. C

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Expressions are presented for the modification due to the nuclear potential apart from the Coulomb potential both for the eikonal and the noneikonal trajectories. Calculations for heavy ion total reaction cross sections are performed using these expressions. Results are given for several systems. It is found that the expression used by Cha leads to unrealistic values for the distance of closest approach at small impact parameters at low energies and therefore lead to inaccurate values of the total reaction cross section. The exactly calculated distance of closest approach leads to improved results both for the eikonal and the noneikonal trajectories. PACS number(s): 25.70.Bc, 24. 10.Ht

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Modified Glauber model II description for heavy-ion elastic scattering

Cited by 16 publications

References 14 publications

Analysis of proton-Be9,10,11,12scattering using an energy-, density-, and isospin-dependent microscopic optical potential

Analysis of proton-Be9,10,11,12scattering using an energy-, density-, and isospin-dependent microscopic optical potential

Glauber model and the heavy ion reaction cross section

Trajectory modifications in the Glauber model for heavy ions

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