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Download Thesis in Pdf Format - Theoretical Nuclear Physics and ...

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Chapter 1IntroductionEver s<strong>in</strong>ce the discovery of the atomic nucleus by Rutherford <strong>in</strong> the early 20th century, nuclei<strong>and</strong> their constituent particles have been the subject of a great deal of scientific research. The<strong>in</strong>terest <strong>in</strong> nuclear physics stems from the fact that the nucleus is a unique form of matter,consist<strong>in</strong>g of many protons <strong>and</strong> neutrons <strong>in</strong> close proximity. As such, the nucleus providesa microscopic laboratory to study different forces of nature: the strong, electromagnetic, <strong>and</strong>weak <strong>in</strong>teraction. Moreover, nuclear matter accounts for more than 99.9% of the mass <strong>in</strong> thevisible universe. Consequently, nuclear physics plays a crucial role <strong>in</strong> the underst<strong>and</strong><strong>in</strong>g of ourworld, from the <strong>in</strong>f<strong>in</strong>itesimal to the astronomical. F<strong>in</strong>ally, there are many practical applicationsof nuclear physics, <strong>in</strong> energy production, medical diagnosis <strong>and</strong> treatments, to name a few.A powerful tool to extract <strong>in</strong>formation about nuclear structure <strong>and</strong> the properties of boundnucleons is the scatter<strong>in</strong>g of leptonic or hadronic probes from nuclei. The advantages of us<strong>in</strong>gleptons as probes arise from the fact that they <strong>in</strong>teract weakly with the nucleus. This enables theleptons to probe the entire nuclear volume without significantly disturb<strong>in</strong>g the target object. Italso means that the electroweak <strong>in</strong>teraction can be treated perturbatively. Leptonic scatter<strong>in</strong>g,however, has the disadvantage that the cross sections are much smaller than those for purelyhadronic reactions. Thus, hadronic scatter<strong>in</strong>g has a large “discovery” potential, whereas leptonicreactions are used for precision experiments. Hadronic scatter<strong>in</strong>g is more challeng<strong>in</strong>gtheoretically because of the strong <strong>in</strong>teraction with nuclear matter. Moreover, hadronic probesmostly sample the nuclear surface.Quasielastic Scatter<strong>in</strong>g <strong>and</strong> the A(p, pN) ReactionThe ma<strong>in</strong> focus of this work will be on exclusive proton-nucleus scatter<strong>in</strong>g <strong>in</strong> the quasielasticregion. In the scatter<strong>in</strong>g spectrum of a hadronic probe from the nucleus, the quasielastic regionappears as a wide peak at ω ≈ Q 2 /2M N , with (ω, ⃗q) the energy <strong>and</strong> momentum transfer, Q 2 =|⃗q| 2 − ω 2 , <strong>and</strong> M N the nucleon mass. One expects that <strong>in</strong> this region, the probe <strong>in</strong>duces theknockout of a s<strong>in</strong>gle nucleon. In exclusive measurements, the ejectile <strong>and</strong> the knocked-outnucleon are detected <strong>in</strong> co<strong>in</strong>cidence <strong>and</strong>, hence, more detailed <strong>in</strong>formation about the reaction1

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