Developing nucelon self-energies to generate the ingredients for the description of nuclear reactions /

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Bibliographic Details
Author / Creator:Atkinson, Mack C.
Imprint:Cham, Switzerland : Springer, 2020.
Description:1 online resource
Language:English
Series:Springer Theses
Springer theses.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/12607513
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ISBN:9783030531140
3030531147
3030531139
9783030531133
Notes:"Doctoral Thesis accepted by Washington University in St. Louis, USA."
References -- 7 Conclusions and Outlook -- References -- A Scattering Theory -- A.1 Elastic Scattering -- A.2 Including Spin -- A.3 Calculating the S-Matrix -- References -- B Functional Form and Parametrization of the DOM -- B.1 Symmetric Parametrization of 40Ca -- B.2 Parametrization of Asymmetric Nuclei -- B.2.1 48Ca Parameters -- B.2.2 208Pb Parameters -- References -- C Charge Density -- C.1 Center of Mass Correction -- C.2 Folding the Nucleon Form Factors -- References
Includes bibliographical references.
Summary:This thesis develops the dispersive optical model into a tool that allows for the assessment of the validity of nuclear reaction models, thereby generating unambiguous removal probabilities of nucleons from valence orbits using the electron-induced proton knockout reaction. These removal probabilities document the substantial quantitative degree in which nuclei deviate from the independent-particle model description. Another outcome reported within is the prediction for the neutron distribution of Ca-40, Ca-48, and Pb-208. The neutron radii of these nuclei have direct relevance for the understanding of neutron stars and are currently the subject of delicate experiments. Unlike other approaches, the current method is consistent with all other relevant data and describes nuclei beyond the independent-particle model. Finally, a new interpretation of the saturation probabilities of infinite nuclear matter is proposed suggesting that the semi-empirical mass formula must be supplemented with a better extrapolation from nuclei to infinite matter.
Other form:Print version: 3030531139 9783030531133
Standard no.:10.1007/978-3-030-53

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504 |a References -- 7 Conclusions and Outlook -- References -- A Scattering Theory -- A.1 Elastic Scattering -- A.2 Including Spin -- A.3 Calculating the S-Matrix -- References -- B Functional Form and Parametrization of the DOM -- B.1 Symmetric Parametrization of 40Ca -- B.2 Parametrization of Asymmetric Nuclei -- B.2.1 48Ca Parameters -- B.2.2 208Pb Parameters -- References -- C Charge Density -- C.1 Center of Mass Correction -- C.2 Folding the Nucleon Form Factors -- References 
505 0 |a Intro -- Supervisor's Foreword -- Acknowledgements -- Contents -- 1 Introductory Remarks -- References -- 2 Theoretical Background -- 2.1 Nucleon-Nucleus Scattering -- 2.1.1 Optical Potentials -- 2.2 R-Matrix Theory -- 2.2.1 Calculation of the R-Matrix -- 2.2.2 Lagrange Basis -- 2.2.3 Lagrange-Legendre Basis -- 2.2.4 Lagrange-Laguerre Basis -- 2.3 Green's Functions -- 2.3.1 Single-Particle Propagator in a One-Body System -- 2.3.2 Single-Particle Propagator in a Many-Body System -- 2.3.3 Aspects of the Single-Particle Propagator -- 2.3.4 The Dyson Equation -- 2.4 The Dispersive Optical Model 
505 8 |a 2.4.1 Dispersion Relation -- 2.4.2 Self-Energies and Optical Potentials -- 2.4.3 Properties of the DOM Propagator -- 2.5 Methods of Calculating G -- 2.5.1 Local Differential Equation Method -- E>0 -- E<0 -- 2.5.2 Nonlocal Differential Equation Method -- 2.5.3 Inverting the Dyson Equation -- 2.5.4 Momentum-Space Method -- References -- 3 A DOM Analysis of 40Ca(e,e'p)39K -- 3.1 Introduction -- 3.2 Theoretical Description of the (e,e'p) Cross Section -- 3.3 DOM Fit of 40Ca -- 3.4 Experimental (e,e'p) Cross Section -- 3.5 Results -- 3.6 Conclusions -- References 
505 8 |a 4 Neutron Skin Thickness of Asymmetric Nuclei -- 4.1 Introduction -- 4.2 48Ca -- 4.2.1 Neutron Skin of 40Ca -- 4.2.2 Fit of 48Ca -- 4.2.3 Analysis of the Neutron Skin in 48Ca -- 4.3 208Pb -- 4.3.1 Fit of 208Pb -- 4.3.2 Analysis of 208Pb Neutron Skin -- 4.4 Conclusions -- References -- 5 DOM Binding Energies and Nuclear Matter -- 5.1 Introduction -- 5.2 Binding Energy in DOM Fits -- 5.3 Energy Density -- 5.4 Conclusions -- References -- 6 Momentum Distributions -- 6.1 Introduction -- 6.2 High-Momentum Content of 40Ca -- 6.3 Asymmetry Dependence of High-Momentum Content -- 6.4 Conclusions 
520 |a This thesis develops the dispersive optical model into a tool that allows for the assessment of the validity of nuclear reaction models, thereby generating unambiguous removal probabilities of nucleons from valence orbits using the electron-induced proton knockout reaction. These removal probabilities document the substantial quantitative degree in which nuclei deviate from the independent-particle model description. Another outcome reported within is the prediction for the neutron distribution of Ca-40, Ca-48, and Pb-208. The neutron radii of these nuclei have direct relevance for the understanding of neutron stars and are currently the subject of delicate experiments. Unlike other approaches, the current method is consistent with all other relevant data and describes nuclei beyond the independent-particle model. Finally, a new interpretation of the saturation probabilities of infinite nuclear matter is proposed suggesting that the semi-empirical mass formula must be supplemented with a better extrapolation from nuclei to infinite matter. 
504 |a Includes bibliographical references. 
650 0 |a Nuclear reactions.  |0 http://id.loc.gov/authorities/subjects/sh85093069 
650 0 |a Particles (Nuclear physics)  |0 http://id.loc.gov/authorities/subjects/sh85098374 
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