Download Thesis in Pdf Format - Theoretical Nuclear Physics and ...
Download Thesis in Pdf Format - Theoretical Nuclear Physics and ...
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843λ dB(fm)2100 1 2 3 4ω (GeV)Figure 2.1 The de Broglie wavelength λ dB of the knocked-out nucleon as a function of the energy ωtransferred <strong>in</strong> an A(p, pN) reaction.GeV range. Our approach is founded on the impulse approximation <strong>and</strong> we adopt the eikonalapproximation to <strong>in</strong>corporate the IFSI effects. The eikonal formalism is implemented relativistically<strong>in</strong> comb<strong>in</strong>ation with optical potentials [9, 46], as well as with Glauber theory [62–64],which is a multiple-scatter<strong>in</strong>g extension of the EA. The two frameworks only differ <strong>in</strong> the waythey treat the IFSI.This chapter is organized as follows. In Sections 2.1.1 <strong>and</strong> 2.1.2, the factorized cross sectionis derived <strong>in</strong> the relativistic plane-wave impulse approximation (RPWIA) formalism. Anexpression for the differential A(p, pN) cross section when implement<strong>in</strong>g IFSI effects is formulated<strong>in</strong> Section 2.1.3. The different eikonal methods to deal with the IFSI are developed <strong>in</strong>the follow<strong>in</strong>g sections. In Section 2.2, the relativistic eikonal approximation is <strong>in</strong>troduced <strong>and</strong>complex optical potentials are implemented to describe the IFSI distortions. Next, the Glaubermultiple-scatter<strong>in</strong>g extension of the eikonal method is developed <strong>in</strong> Section 2.3. A numericallyless <strong>in</strong>tensive version of the Glauber framework is derived <strong>in</strong> Section 2.4, while Section 2.5 isdevoted to the derivation of a second-order correction to the relativistic optical model eikonalapproximation of Section 2.2.