Abstract

The elastic scattering in the reaction ^{7}Li+^{208}Pb was investigated in the bombarding energy range from 25 to 39 MeV. The real and imaginary parts of the optical potential were analyzed by using a phenomenological potential. A dispersion relation analysis is presented in order to investigate the threshold anomaly effect. It is concluded that ^{7}Li has an intermediate behavior between the tightly bound nuclei such as ^{16}O and the loosely bound nuclei such as ^{6}Li where the lack of the threshold anomaly is unambiguously observed. Reaction cross sections are also extracted from the elastic scattering data and its comparison with the ones of other systems has been performed to draw hints on the effect of the breakup channel.

Highlights

  • The study of elastic scattering around the Coulomb barrier is the simplest mean to determine the energy dependence of the real and imaginary parts of the optical potential (OP) in a nuclear reaction.effect concerns with the observation of a localized peak in the real part of the OP accompanying a sharp decrease of the imaginary part as the bombarding energy declines toward the Coulomb barrier

  • Elastic scattering angular distributions were measured for the system 7Li+208Pb at the laboratory energy of 25, 31, 33, 35 and 39 MeV (0.80–1.25 times the Coulomb barrier)

  • The experimental data were analyzed by using phenomenological optical potentials

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Summary

Introduction

The study of elastic scattering around the Coulomb barrier is the simplest mean to determine the energy dependence of the real and imaginary parts of the optical potential (OP) in a nuclear reaction. The behavior of the real and imaginary parts of the OP is the consequence of the causality principle [4] which states that a scattered wave cannot be emitted before the arrival of the incident wave This principle implies the existence of a dispersion relation which connects the energy variation of the real potential to that of the imaginary potential through a principal part integral. Such a connection gives rise to the localized peak in the real part of the OP [4] and the sudden drop in the imaginary part This picture may change when loosely bound (stable or radioactive) nuclei are involved in the scattering process [5].

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Experimental details and data analysis
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Optical model analysis of elastic scattering
Phenomenological analysis with Woods-Saxon potential
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Dispersion relation analysis
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Reaction cross-section
Conclusion and summary
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Full Text
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