2015
DOI: 10.1016/j.physletb.2015.08.002
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Relativistic elastic differential cross sections for equal mass nuclei

Abstract: The effects of relativistic kinematics are studied for nuclear collisions of equal mass nuclei. It is found that the relativistic and non-relativistic elastic scattering amplitudes are nearly indistinguishable, and, hence, the relativistic and non-relativistic differential cross sections become indistinguishable. These results are explained by analyzing the Lippmann-Schwinger equation with the first order optical potential that was employed in the calculation.Published by Elsevier B.V. This is an open access a… Show more

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Cited by 3 publications
(2 citation statements)
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“…Moreover, total fragmentation cross section models can be used for normalizing and anchoring parametric models, such as DDFRG [12,13,119]. Werneth et al [146][147][148][149][150] developed a relativistic (kinematics) multiple scattering theory (RMST) for the prediction of reaction, elastic, total, and elastic differential cross sections for space radiation-relevant reactions. The fundamental nuclear constituents of the MST are defined as the nucleons, and the quark structure of individual nucleons is not considered.…”
Section: Modelingmentioning
confidence: 99%
See 1 more Smart Citation
“…Moreover, total fragmentation cross section models can be used for normalizing and anchoring parametric models, such as DDFRG [12,13,119]. Werneth et al [146][147][148][149][150] developed a relativistic (kinematics) multiple scattering theory (RMST) for the prediction of reaction, elastic, total, and elastic differential cross sections for space radiation-relevant reactions. The fundamental nuclear constituents of the MST are defined as the nucleons, and the quark structure of individual nucleons is not considered.…”
Section: Modelingmentioning
confidence: 99%
“…Relativistic kinematics are easily incorporated into the momentum-space formulation of the LS equation [146,147], and a large shift toward small angles and with larger magnitude is observed in the elastic differential cross sections. Another interesting result is that relativistic kinematic effects will depend on both energy and relative mass of the projectile and target [148]. A comprehensive validation effort [149] showed that the FIGURE 20 | Experimental data of total reaction cross sections for 4 Heinduced reactions on 237 Np targets, compared with two different parameterizations.…”
Section: Modelingmentioning
confidence: 99%