The Origin of the Visible Mass in the Universe

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The Origin of the Visible Mass in the Universe Or: Why the Vacuum is not Empty Ralf Rapp Cyclotron Institute + Physics Department Texas A&M University College Station, USA Cyclotron REU Program 2007 Texas A&M University, College Station, 25.07.07

The Cosmic Pie of Matter and Energy Expanding Universe Dark Energy not at all understood! Star / Galaxy Motion Dark Matter New Particles? Mass of Visible Matter Weight / Inertia A Dense Vacuum?

Nuclear Physics and the Universe QuarkGluon Plasma: T>200MeV (<0.000001 sec.) Phase transition to Hadronic Matter (Mass Generation, Quark Confinement), T 170MeV (0.00001 sec.) Lowmass nuclei: H (p), d (pn), 3 He, 4 He, 7 Li (3 min.) Heavy elements in star collapses: supernovae (still today) Exotic forms of (quark) matter in neutron stars (still today)

1.) The Atom and the MicroCosmos Which Particles are Elementary? What is the World Made of? 2.) Elementary Particles and Their Interactions Matter Particles vs. Force Carriers Fermions vs. Bosons 3.) The Strong Interactions: Quarks and Gluons The World of Hadrons 2 Puzzles: Quark Confinement and Quark Masses The NonEmptiness of the Vacuum 4.) HeavyIon Collisions and QuarkGluon Plasma Evaporating the Vacuum Dissolving Mass into Energy 5.) Summary Outline

1.) The Atom and the MicroCosmos: Which Particles are Elementary? Scientists (Philosophers) have always been wondering: What happens if one keeps dividing matter? Notion of the atom (ατομοσ = greek for indivisible ) But: electron nucleus Rutherford (1911): most of the atom is empty space mass is concentrated in the atomic nucleus subatomic particles

1.2 The Atom and the MicroCosmos: What is the World Made of? electrons are elementary (as far as we know), atomic nucleus is NOT nuclei are composed of nucleons = protons and neutrons each nucleon is made of 3 quarks: u u d u d d proton + = (uud) neutron 0 = (udd) upquark: charge +⅔, mass m u =3MeV/c 2 downquark: ⅓, m d =6MeV/c 2 electron : 1, m e =0.5MeV/c 2 But: nucleon mass m p =m n =940MeV/c 2

2.) Elementary Particles and Interactions What holds Matter together? in addition to stable matter (u, d, e, ν e ) 2 more generations of elementary particles (quarks + leptons): charm + strange quark, muon + neutrino top + bottom quark, tau + neutrino Force Carriers and Strength elecmg. strong e e u γ g d α em =0.01 α S =1

2.2 Elementary Particles and Interactions The Nature of Matter vs. Force Particles Elementary Matter Particles (quarks+leptons): spin S=½ Fermions (halfinteger S) Elementary Force Particles (g, γ, W ±, Z): spin S=1 Bosons (integer S=0,1,2, ) S Fermion Motel: only one identical fermion per room! (Pauli Exclusion Principle) electronic shell structure of atoms Boson Inn: identical bosons per room preferred! (BoseEinstein Condensation)

3.) The Strong Force: Quarks + Gluons The Confinement of Quarks In Nature, quarks have never been observed in isolation: Confinement Quarks glued together by gluons ( rubber band) the interaction strength (charge) increases with distance!! F s (r) = const theoretically not yet understood (recall electric force: F e (r) = α em /r 2 ) asymptotic freedom at small distances explained Nobel Prize in Physics 2004 [Gross, Politzer and Wilczek] 0.2 0.02 0.002 r [fm]

3.2 The Strong Force: The World of Hadrons Quarks only appear as composites = hadrons two types of hadrons: baryons: bound states of 3 quarks (fermions!) e.g.: S=1/2: p=(uud), Λ=(uds), S=3/2: Δ ++ =(uuu), Ω =(sss), mesons: quarkantiquark composites (bosons!) e.g.: S=0: π + =(ud), π 0 =(uu,dd), K =(su), S=1: ρ + =(ud), ρ 0 =(uu,dd), ρ =(ud),, Puzzle: Why are hadrons so much heavier than quarks? (protonmass = 940MeV/c 2 >> 3m q = 15MeV/c 2 ) Preliminary answer: hadronic building blocks are constituent quarks = extended objects with mass M q ~350MeV/c 2 u u d ⅔ fm

3.3 Strong Force: Mass Generation The real question: how to quarks become so massive? (note: this is asking for >98% of the mass of all visible matter a very fundamental question!!) 208 Pb=624 quarks Our current best (most likely) answer: strong quarkantiquark attraction (many gluons) Bosecondensation of (qq) pairs dense liquid fills the vacuum! 0 dd + uu 0 5 fm quarks moving through the liquid have large mass (~⅓ of the proton mass)!! m q =5MeV our mass is due to a (very) dense vacuum!! Can we test this? E.g. evaporate the vacuum?? 3 u ū > > > > u ū M q =350MeV

4.) HeavyIon Collisions and QuarkGluon Plasma Strongly Interacting Matter: From Nuclei to QGP Heat and evaporate the Vacuum! Nuclear Matter dissolves into the QuarkGluon Plasma (QGP): hadrons overlap, quarks are liberated Deconfinement!! qq condensate evaporates, M q m q Mass dissolves!! required temperature is ~200MeV 4 10 12 o F 100,000 times hotter than inside the sun!! early universe ~0.000001 sec after the Big Bang!! How do we pump this enormous amount of energy into the vacuum??

Answer: The Relativistic HeavyIon Collider!! Accelerate GoldNuclei to 200GeV/nucleon and collide them! (even more powerful accelerator (LHC) to start soon at the European Center for Nuclear Research (CERN) in Geneva)

4.2 Recreating the Little Bang in the Laboratory e + e ρ Au + Au QGP?! (τ 2 10 23 s) How to look for particles inside the matter? Watch out for electronpositron decays of the ρ(770)meson! Hadron Gas (τ 4 10 23 s) FreezeOut Au + Au X

4.3 The ρmeson in Vacuum and its Decays In Vacuum: mass of the ρmeson (= uu,dd ) is well measured, m ρ =770MeV 2 constituent quarks : ρmeson unstable, lifetime ~4 10 24 sec ρ π + π But what happens to the ρmeson mass in a hot medium (QGP)?? ρ(770) energy of decay products (π + π ) = mass of the parent particle (ρ)! ρ m ρ =770MeV e + e

4.4 The ρmeson in the Hot Medium Different theoretical predictions: m ρ drops to zero (quarks lose their mass) interactions of the ρ within the hot+dense gas: ρmeson melts (broad mass distribution) Dropping Mass ρ Melting e + e Which scenario is correct? Experiments have to tell us

4.5 e + e Spectra in Nuclear Collisions account for ρ e + e decays over the entire fireball expansion history New μ + μ Data [NA60 Experiment, CERN] ρ e + e experimental data favor the Melting scenario advanced theoretical investigations required to arrive at definite conclusions (ongoing at Texas A&M) We are getting closer to the origin of (visible) mass in the universe!

5.) Summary Atom Nucleus Nucleons Quarks (elementary!) Quarks are confined to Hadrons (baryons and mesons) not yet understood!! Quarks acquire a large mass within hadrons: the vacuum is a dense liquid of (qq) condensate!! more than 98% of the visible mass in the universe!! Collisions of Heavy Nuclei at High Energies: Heat the vacuum and recreate the early universe: deconfine quarks and gluons evaporate vacuum condensates and dissolve mass into energy! ρmeson decays to dileptons to investigate the origin of mass very exciting research ahead

Early Universe (few μs after Big Bang) 2.1 Hot+Dense QCD Matter in Nature Phase Diagram Compact Stellar Objects (Neutron Stars) In the laboratory: highenergy collisions of heavy nuclei! Objective: to create matter at temperatures T > T c 170MeV and energy densities ε > ε c 1GeVfm 3