A full relativistic treatment in analyzing $\alpha $-$^{12}$C and $\alpha $-$^{40,42,44,48}$Ca elastic scattering data at 1.37 GeV

Abstract:The differential and reaction cross sections for alpha-alpha elastic scattering at energies ranging from 50 MeV to 120 MeV (lab. system) have been clearly explained for the first time, by using a new optical potential type. This potential, which is different from all other proposed potentials, is composed of two real parts: one is an attractive squared Woods-Saxon and the other is a repulsive core of the WoodsSaxon form in addition to a surface Woods-Saxon form for the imaginary part. The nature of the real part has been determined from available phase shifts through using inverse scattering theory for the identical particles at a fixed energy, adopting the framework of Schrödinger equation. It is found that the repulsive real part is essential for improving the fit to the measured elastic differential cross sections, and in explaining the kink that appears at fm r 0 . IntroductionThe importance of alpha particle in nuclear physics has been well established. This is mainly due to its unique properties summarized as : 1) It has zero spin and isospin.2) It also has a high binding energy of 28.3 MeV, and a small root-mean-square radius of 1.44 fm.3) It also plays a role in forming light cluster nuclei which contain alpha-particle substructures. The knowledge of these properties is necessary to understand α -nucleus interaction and, as a prerequisite, the α α − interaction.As such, the determination of In a more previous study, Darriulat et al. [8] have measured and analyzed the alpha-alpha elastic scattering data at seven energies between 53 and 120 MeV (lab); namely, 53.4, 58.50, 63.9, 69.9 and 77.6, 99.6 and 119.9 MeV. In analyzing the data, they have used an ldependent potential terms composed of two real, attractive and repulsive, besides one imaginary of the Woods-Saxon type. The repulsive term of the real part is a short-radius repulsive core. The data at 99.6 and 119.9 MeV have been reanalyzed by different workers [2,3] 53.4, 58.50, 63.9, 69.9 and 77.6 MeV, using an l independent optical potential c) confirm the capability and strength of the IST, used as a guide, in predicting the correct potentials.In the following section, the theory concerning both the nature of alpha-alpha potential and IST for identical particles is presented.Results and discussions are included in Sect. 3. Finally, Sect. 4 presents the conclusions.

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Analysis of elastic scattering data below, atop and above the delta resonance using inverse scattering theory

El-Shawaf¹,

Shehadeh²

2016

Int. J. Phys. Sci.

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The simple local optical potential adopted in analyzing successfully In treating the pion-nucleus scattering problem, we found that there is no privacy for a doubly closed-shell self-conjugate target nucleus compared to another nucleus, at least N Z  light bound nucleus, and for incident pion energies in the domain of the delta resonance region. Instead, it seems that the description of the scattering process is mainly attributed to the geometrical structure of the target nucleus. This is a first time corollary, and more investigations are needed.

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A full relativistic treatment in analyzing $\alpha $-$^{12}$C and $\alpha $-$^{40,42,44,48}$Ca elastic scattering data at 1.37 GeV

Cited by 3 publications

References 20 publications

Energy levels of light nuclei A= 12

Energy levels of light nuclei A= 12

Analyses of alpha-alpha elastic scattering data in the energy range 140 - 280 MeV

Analysis of elastic scattering data below, atop and above the delta resonance using inverse scattering theory

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