Hyperons in dense matter
Başlık çevirisi mevcut değil.
- Tez No: 716810
- Danışmanlar: Belirtilmemiş.
- Tez Türü: Doktora
- Konular: Fizik ve Fizik Mühendisliği, Physics and Physics Engineering
- Anahtar Kelimeler: Belirtilmemiş.
- Yıl: 2009
- Dil: İngilizce
- Üniversite: Technische Universität Darmstadt
- Enstitü: Yurtdışı Enstitü
- Ana Bilim Dalı: Belirtilmemiş.
- Bilim Dalı: Belirtilmemiş.
- Sayfa Sayısı: 139
Özet
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Özet (Çeviri)
The hyperon-nu leon (Y N ) low momentum e e tive intera tion (Vlow k ) allows for an extensive study of the behavior of hyperons in dense matter, together with an investigation of e e ts of the presen e of hyperons on dense matter. The rst step towards this goal is the onstru tion of the matrix elements for the hyperonnu leon low momentum potential. In ontrast to the nu leon-nu leon intera tion, the available experimental data for the Y N intera tion are s ar e. As a onsequen e, no unique Y N low-momentum potential Vlow k an be onstru ted from the various bare potentials. Nevertheless we an still use these low-momentum Y N potentials to nd out what these di eren es mean for the properties of dense matter. In order to assess the di erent properties of hyperons within these potentials we al ulate the hyperon single-parti le potentials in the Hartree-Fo k approximation for all of the intera tions. Their dependen e on both momentum and density, is studied. The single-parti le potentials are then used to determine the hemi al potential of hyperons in neutron stars. For nu leoni properties, the nu leon-nu leon Vlow k an be used with the aveat that the al ulation of the ground-state energy of symmetri nu lear matter does not orre tly reprodu e the properties of matter at saturation. Even when ombined with the appropriate three-nu leon for es the results are still not satisfa - tory. Additionally, with the nu leon-nu leon Vlow k one is unable to rea h the densities needed for the al ulation of neutron star masses. To ir umvent this problem we use two approa hes: in the rst one, we parametrize the entire nu- leoni se tor. In the se ond one, we repla e only the three-body for e. 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 ombining this parametrization with the Y N Vlow k potential, we al ulate the equation of state of equilibrated matter. Performing the al ulation in the Hartree-Fo k approximation at zero temperature, the on entrations of all parti les are al ulated. From these we an as ertain at whi h densities hyperons appear for a wide range of parameters. Finally, we al ulate the masses of neutron stars with these on entrations. For the al ulation of the medium's response to an external probe, we repla e the three-body for e with a density-dependent intera tion. This densitydependent intera tion is tted to the saturation properties of nu lear matter and used together with the Vlow k potential. The study of in-medium properties with these intera tions is a omplished with a ombination of Fermi liquid theory and random phase approximation(RPA). The Fermi liquid theory is then used to obtain the strength of the parti le-hole intera tions. The medium's response to neutrinos is represented via hanges of the polarization fun tion in the random phase approximation. The properties of neutrinos in dense matter are studied in both, HartreeFo k and random phase, approximation. To understand how the hanges in the mediums response alter the behavior of neutrinos in dense matter, we al ulate the neutrino ross se tion and the neutrino mean free path. The neutrinos intera t with baryons and leptons through the weak intera tion, hen e we al ulate these for both neutral and harged urrents. The omparison between the Hartree-Fo k approximation and RPA plays a entral role in this work.
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