Djapo, Haris (2009)
Hyperons in Dense Matter.
Technische Universität Darmstadt
Dissertation, Erstveröffentlichung
Kurzbeschreibung (Abstract)
The hyperon-nucleon YN low momentum effective interaction Vlowk allows for an extensive study of the behavior of hyperons in dense matter, together with an investigation of effects of the presence of hyperons on dense matter. The first step towards this goal is the construction of the matrix elements for the hyperon-nucleon low momentum potential. In contrast to the nucleon-nucleon interaction, the available experimental data for the YN interaction are scarce. As a consequence, no unique YN low-momentum potential Vlowk can be constructed from the various bare potentials. Nevertheless we can still use these low-momentum YN potentials to find out what these differences mean for the properties of dense matter. In order to assess the different properties of hyperons within these potentials we calculate the hyperon single-particle potentials in the Hartree-Fock approximation for all of the interactions. Their dependence on both momentum and density, is studied. The single-particle potentials are then used to determine the chemical potential of hyperons in neutron stars. For nucleonic properties, the nucleon-nucleon Vlowk can be used with the caveat that the calculation of the ground-state energy of symmetric nuclear matter does not correctly reproduce the properties of matter at saturation. Even when combined with the appropriate three-nucleon forces the results are still not satisfactory. Additionally, with the nucleon-nucleon Vlowk one is unable to reach the densities needed for the calculation of neutron star masses. To circumvent this problem we use two approaches: in the first one, we parametrize the entire nucleonic sector. In the second one, we replace only the three-body force. The former will enable us to study neutron star masses, and the latter for studying the medium's response to the external probe. In this thesis we take the external probe to be the neutrino. By combining this parametrization with the YN Vlowk potential, we calculate the equation of state of equilibrated matter. Performing the calculation in the Hartree-Fock approximation at zero temperature, the concentrations of all particles are calculated. From these we can ascertain at which densities hyperons appear for a wide range of parameters. Finally, we calculate the masses of neutron stars with these concentrations. For the calculation of the medium's response to an external probe, we replace the three-body force with a density-dependent interaction. This density-dependent interaction is fitted to the saturation properties of nuclear matter and used together with the Vlowk potential. The study of in-medium properties with these interactions is accomplished with a combination of Fermi liquid theory and random phase approximation(RPA). The Fermi liquid theory is then used to obtain the strength of the particle-hole interactions. The medium's response to neutrinos is represented via changes of the polarization function in the random phase approximation. The properties of neutrinos in dense matter are studied in both, Hartree-Fock and random phase, approximation. To understand how the changes in the mediums response alter the behavior of neutrinos in dense matter, we calculate the neutrino cross section and the neutrino mean free path. The neutrinos interact with baryons and leptons through the weak interaction, hence we calculate these for both neutral and charged currents. The comparison between the Hartree-Fock approximation and RPA plays a central role in this work.
Typ des Eintrags: | Dissertation | ||||
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Erschienen: | 2009 | ||||
Autor(en): | Djapo, Haris | ||||
Art des Eintrags: | Erstveröffentlichung | ||||
Titel: | Hyperons in Dense Matter | ||||
Sprache: | Englisch | ||||
Referenten: | Wambach, Prof. Dr. Jochen ; Roth, Prof. Dr. Robert | ||||
Publikationsjahr: | 3 März 2009 | ||||
Ort: | Darmstadt | ||||
Verlag: | Technische Universität | ||||
Datum der mündlichen Prüfung: | 28 Januar 2009 | ||||
URL / URN: | urn:nbn:de:tuda-tuprints-13392 | ||||
Kurzbeschreibung (Abstract): | The hyperon-nucleon YN low momentum effective interaction Vlowk allows for an extensive study of the behavior of hyperons in dense matter, together with an investigation of effects of the presence of hyperons on dense matter. The first step towards this goal is the construction of the matrix elements for the hyperon-nucleon low momentum potential. In contrast to the nucleon-nucleon interaction, the available experimental data for the YN interaction are scarce. As a consequence, no unique YN low-momentum potential Vlowk can be constructed from the various bare potentials. Nevertheless we can still use these low-momentum YN potentials to find out what these differences mean for the properties of dense matter. In order to assess the different properties of hyperons within these potentials we calculate the hyperon single-particle potentials in the Hartree-Fock approximation for all of the interactions. Their dependence on both momentum and density, is studied. The single-particle potentials are then used to determine the chemical potential of hyperons in neutron stars. For nucleonic properties, the nucleon-nucleon Vlowk can be used with the caveat that the calculation of the ground-state energy of symmetric nuclear matter does not correctly reproduce the properties of matter at saturation. Even when combined with the appropriate three-nucleon forces the results are still not satisfactory. Additionally, with the nucleon-nucleon Vlowk one is unable to reach the densities needed for the calculation of neutron star masses. To circumvent this problem we use two approaches: in the first one, we parametrize the entire nucleonic sector. In the second one, we replace only the three-body force. The former will enable us to study neutron star masses, and the latter for studying the medium's response to the external probe. In this thesis we take the external probe to be the neutrino. By combining this parametrization with the YN Vlowk potential, we calculate the equation of state of equilibrated matter. Performing the calculation in the Hartree-Fock approximation at zero temperature, the concentrations of all particles are calculated. From these we can ascertain at which densities hyperons appear for a wide range of parameters. Finally, we calculate the masses of neutron stars with these concentrations. For the calculation of the medium's response to an external probe, we replace the three-body force with a density-dependent interaction. This density-dependent interaction is fitted to the saturation properties of nuclear matter and used together with the Vlowk potential. The study of in-medium properties with these interactions is accomplished with a combination of Fermi liquid theory and random phase approximation(RPA). The Fermi liquid theory is then used to obtain the strength of the particle-hole interactions. The medium's response to neutrinos is represented via changes of the polarization function in the random phase approximation. The properties of neutrinos in dense matter are studied in both, Hartree-Fock and random phase, approximation. To understand how the changes in the mediums response alter the behavior of neutrinos in dense matter, we calculate the neutrino cross section and the neutrino mean free path. The neutrinos interact with baryons and leptons through the weak interaction, hence we calculate these for both neutral and charged currents. The comparison between the Hartree-Fock approximation and RPA plays a central role in this work. |
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Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 500 Naturwissenschaften und Mathematik > 530 Physik | ||||
Fachbereich(e)/-gebiet(e): | 05 Fachbereich Physik 05 Fachbereich Physik > Institut für Kernphysik |
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Hinterlegungsdatum: | 01 Apr 2009 10:24 | ||||
Letzte Änderung: | 26 Aug 2018 21:25 | ||||
PPN: | |||||
Referenten: | Wambach, Prof. Dr. Jochen ; Roth, Prof. Dr. Robert | ||||
Datum der mündlichen Prüfung / Verteidigung / mdl. Prüfung: | 28 Januar 2009 | ||||
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