Covariant density functional theory for nuclear matter [Elektronische Ressource] / vorgelegt von Urnaa Badarch
126 Pages
English
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Covariant density functional theory for nuclear matter [Elektronische Ressource] / vorgelegt von Urnaa Badarch

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Learn all about the services we offer
126 Pages
English

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ereic2007Giessen,FMongoleiundMandalgobi,Justus-Liebig-UnivausGeographie)hhBadarc07UrnaaPhonderversitorgelegtatvimInaugural-DissertationaczurbErlangunghdes(MathematikDoktorgradesInformatik,derysik,NaturwissenschaftenGiessenCOVARIANT DENSITYFUNCTIONAL THEORY FORNUCLEAR MATTERundlicernerterstatter:an:agProf.ufung:Dr.Dr.BerndheidBaumannmI.PrBericDekhProf.terstatter:WProf.ScDr.THorstderLenskehenII.14.06.2007Berichartobome.myepornarloveentsTwho...72ensor.....state.....P...........The...6.2.5..2.1.The.Nucleon-Nucleon.in.teraction............and...n.............v.......Meson-Bary.......Nuclear.........456uclear2.2.Nucleon-Nucleon.in47teractionyin.medium........tial.....curv...................35.of............9..5.4.v......energy.Symmetry.of.endence.dep.Isospin.6.2.6.3.1.Hohen.b.erg-Kohn.theorem.for.Quan.tumEquationhadroInnitedynamics............Energy-Momen.Energy.........6.2.2.dynamical....14.3.2.Quan57tumphadrothedynamicsmatter(QHD)......6.2.4...................symmetry.....................5.3.arametrization.DDRH.ertices..19.69......................

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Published 01 January 2007
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COVARIANT DENSITY
FUNCTIONAL THEORY FOR
NUCLEAR MATTER
vMandalgobi,Informatik,imUrnaaacysik,bvhh(MathematikGiessen,Inaugural-DissertationFzurhErlangungereicdes07DoktorgradesundderPhNaturwissenscGeographie)haftenorgelegtderonJustus-Liebig-UnivBadarcersitausMongoleiat2007GiessenhenDekScan:Prof.Prof.derDr.14.06.2007BerndWBaumannTI.Berichterstatter:terstatter:Dr.Prof.ernerDr.heidHorstagLenskmeundlicIPrI.ufung:BericheTloveoornmyarpbartoentsme.whoContents
1 Introduction 1
2 Ab initio Relativistic nuclear fleld theory 5
3 Density functional approach to quantum hadrodynamics 13
4 Density Dependent Relativistic Hadron Field theory (DDRH) 23
5 Density-dependent Meson-Baryon vertices 33
6 Results 45
iteraction.in.medium..ertices...dynamical.........................39.....Innite...Energy......9.6..of.........Phenomenological..........3.1.Hohen.b.erg-KohnEquationtheorem.for.Quan.tumEnergy-Momenhadro.dynamics..6.2.2.....57...Nuclear.......6.2.6..........14.3.2.Quan.tum.hadro37dynamicson(QHD)............Nuclear...................45.state.uclear...........47.ensor.y....19....and.................64.energy4.1.The.DDRH.Lagrangian........dep.energy.....................................5.4.Meson-Bary.v..............23.4.2.Relativistic.Mean.Field.Nucleon-Nucleon2.2inappro6.1ximationmatter.......................................6.2.of.of.n.matter..29...........teraction.in.Nucleon-Nucleon.The.2.16.2.16.2.3tum-TChemicalandotendensitof.Cold.uclear............52.Pressure63ThermoSaturationconsistencye...................The5.1pMicroscopictialMeson-Barytheonnvmatterertices.in.Innite.n.uclear.matter....6.2.4.curv..................33.5.2.Momen.tum.dep.endence.of.the.Self-energies6.2.5.symmetry.............................69.Isospin.endence.Symmetry......35.5.3.P.arametrization.of.DDRH.v.ertices72..ii CONTENTS
7 Summary and Outlook 95
List of flgures 102
List of tables 104
A 105
Bibliography 115
Deutsche Zusammenfassung 117
Acknowledgments 119
........masses...free..77.6.2.8.Compressibilit.y..............Eectiv.............A.1.equation...................n...........91......83.6.2.9.Sp.eed.of.soundThe.Dirac..................................105.....ucleon.e.6.2.7...Chapter 1
Introduction
aretoteractingderiv.conThethis.nbaseduclearhmatterresultsequationtheofdensitstateHS87(EOS)highisinamattervprototeryal74impmesons.ortanquartict,ingredientotininatheknerstudytooftials,propasymmetryertiesapproacofnndelsuclei,ucleiheaonsvy-ionsuccollisionstheoryaswherewvirtualellimproasmoastrophtheysicaltroobInjectscorresplikyetheyneutronostarsoneandapproacsupteractionsernoErk74vhasa.successfulRecenNtlyin,andEOSarestudiesmofortotheestigateasymmetricstructurenrelativisticuclearnmatternitegainedstronglyparticularofimpmesons.ortanceebanothrelativisticdue[toSW86astrophuclearysicalfromapplicationshange(neutronorderstars)e[thisSee95cubic]teractionsand