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The straightforward calculations of the reaction and interaction cross sections of the nuclear scattering are carried out in Glauber approach using the generating function method. It allows for the resummation of all orders of Glauber…

Nuclear Theory · Physics 2025-04-03 Yu. M. Shabelski , A. G. Shuvaev

We revisit the Glauber model to study the heavy ion reaction cross sections and elastic scattering angular distributions at low and intermediate energies. The Glauber model takes nucleon-nucleon cross sections and nuclear densities as…

Nuclear Theory · Physics 2017-04-26 Ajay Mehndiratta , Prashant Shukla

By evaluating all the contributions of the intermediate states of the multiple scattering theory diagrams, we compute the integrated stripping cross sections of collisions among light nuclei. The resulting expressions have the simple form…

High Energy Physics - Phenomenology · Physics 2009-10-31 Yu. M. Shabelski , D. Treleani

Reaction cross sections of carbon isotopes for proton scattering are calculated in large energy region. Density distributions of carbon isotopes are obtained from relativistic mean field results. Calculations are based on two procedures:…

Nuclear Theory · Physics 2017-07-26 Kaori Kaki

We calculate the proton-nucleus total reaction cross sections at different energies of incident protons within the optical limit approximation of the Glauber theory. The isospin effect has been taken into account. The nucleon distribution…

Nuclear Theory · Physics 2012-01-03 K. Iida , K. Oyamatsu , B. Abu-Ibrahim , A. Kohama

We reexamine the Glauber model and calculate the total reaction cross section as a function of energy in the low and intermediate energy range, where many of the corrections in the model, are effective. The most significant effect in this…

Nuclear Theory · Physics 2008-11-26 Prashant Shukla

Previously a compact formula for total reaction cross section for heavy-ion collisions as a function of energy was obtained by treating the angular momentum $l$ as a continuous variable. The accuracy of the continuum approximation is…

Nuclear Theory · Physics 2012-12-11 Cheuk-Yin Wong

We systematically calculate the total reaction cross sections of oxygen isotopes, $^{15-24}$O, on a $^{12}$C target at high energies using the Glauber theory. The oxygen isotopes are described with Slater determinants generated from a…

Nuclear Theory · Physics 2009-06-25 B. Abu-Ibrahim , S. Iwasaki , W. Horiuchi , A. Kohama , Y. Suzuki

Cross sections for proton inelastic collision with different nuclei are described within the Glauber approximation. The significant difference between approximate ``Glauber'' formula and exact calculations with geometrical scaling…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tadeusz Wibig

We calculate the reaction cross sections for $^6{\rm Li}$ and $^7_{\Lambda}{\rm Li}$ on a $^{12}{\rm C}$ target at $100\,{\rm MeV/nucleon}$ using the Glauber theory. To this end, we assume a two-body cluster structure for $^6$Li and…

Nuclear Theory · Physics 2015-06-17 T. Akaishi , K. Hagino

The Glauber model is extensively applied to heavy ion collision for describing a number of interaction processes over a wide range of energies from near the Coulomb barrier to higher energies. The model gives the nucleus-nucleus interaction…

Nuclear Theory · Physics 2007-05-23 P. Shukla

We systematically study total reaction cross sections of carbon isotopes with N=6-16 on a proton target for wide range of incident energies, putting an emphasis on the difference from the case of a carbon target. The analysis includes the…

Nuclear Theory · Physics 2014-11-18 B. Abu-Ibrahim , W. Horiuchi , A. Kohama , Y. Suzuki

Light ion (A<5) breakup cross sections are important for studies of cosmic ray interactions in the inter-stellar medium or radiation protection considerations of energy deposition in tissue. Nucleon abrasion cross sections for heavy ion…

Nuclear Theory · Physics 2021-07-28 Congchong Yan , Premkumar B. Saganti , Francis A. Cucinotta

The scaling rules of the invariant yields and cross sections for hard scattering processes in proton-nucleus ($pA$) and nucleus-nucleus ($AB$) reactions at LHC energies relative to those of nucleon-nucleon $NN$ (isospin averaged $pp$)…

Nuclear Experiment · Physics 2007-05-23 D. d'Enterria

To estimate realistic cross sections in ultra peripheral heavy ion collisions we must remove effects of strong absorption. One method to eliminate these effects make use of a Glauber model calculation, where the nucleon-nucleon energy…

Nuclear Theory · Physics 2009-11-10 C. G. Roldao , A. A. Natale

The Glauber method is extensively used to describe the motion of a hadronic projectile in interaction with the surrounding nuclear medium. One of the main approximations consists in the linearization of the wave equation for the interacting…

Nuclear Theory · Physics 2009-10-28 A. Bianconi , M. Radici

Obtaining cross sections for nuclear reactions at intermediate energies based on the Glauber formulation has a long tradition. Only recently the energy regime of a few hundred MeV has become accessible to ab-initio Faddeev calculations of…

Nuclear Theory · Physics 2008-11-26 Ch. Elster , T. Lin , W. Gloeckle , S. Jeschonnek

Cross sections for proton inelastic collision with different nuclei are described within the Glauber and multiple scattering approximations. A significant difference between approximate `Glauber' formula and exact calculations with a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Tadeusz Wibig , Dorota Sobczynska

Relativistic corrections to the reaction kinematic parameters were made for elastic scattering of \nuc{6}{Li}, \nuc{12}{C} and \nuc{40}{Ar} from \nuc{40}{Ca}, \nuc{90}{Zr}, and \nuc{208}{Pb} targets at incident energies between 20 and 100…

Nuclear Experiment · Physics 2018-10-02 Pang Dan-Yang

The differential elastic cross sections of $^{12}$C - $^{12}$C, $^{16}$O - $^{16}$O and $^{20}$Ne - $^{20}$Ne nuclei scattering are calculated in the complete Glauber theory with the account of the modification due to Coulomb interaction…

Nuclear Theory · Physics 2024-05-21 Yu. M. Shabelski , A. G. Shuvaev
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