Properties of Quarks Isospin Many Groupings of Particles of Similar Mass and Properties Fitted in to Common Patterns
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The Role of Strangeness in Ultrarelativistic Nuclear
HUTFT THE ROLE OF STRANGENESS IN a ULTRARELATIVISTIC NUCLEAR COLLISIONS Josef Sollfrank Research Institute for Theoretical Physics PO Box FIN University of Helsinki Finland and Ulrich Heinz Institut f ur Theoretische Physik Universitat Regensburg D Regensburg Germany ABSTRACT We review the progress in understanding the strange particle yields in nuclear colli sions and their role in signalling quarkgluon plasma formation We rep ort on new insights into the formation mechanisms of strange particles during ultrarelativistic heavyion collisions and discuss interesting new details of the strangeness phase di agram In the main part of the review we show how the measured multistrange particle abundances can b e used as a testing ground for chemical equilibration in nuclear collisions and how the results of such an analysis lead to imp ortant con straints on the collision dynamics and spacetime evolution of high energy heavyion reactions a To b e published in QuarkGluon Plasma RC Hwa Eds World Scientic Contents Introduction Strangeness Pro duction Mechanisms QuarkGluon Pro duction Mechanisms Hadronic Pro duction Mechanisms Thermal Mo dels Thermal Parameters Relative and Absolute Chemical Equilibrium The Partition Function The Phase Diagram of Strange Matter The Strange Matter Iglo o Isentropic Expansion Trajectories The T ! Limit of the Phase Diagram -
Particle Physics Dr Victoria Martin, Spring Semester 2012 Lecture 12: Hadron Decays
Particle Physics Dr Victoria Martin, Spring Semester 2012 Lecture 12: Hadron Decays !Resonances !Heavy Meson and Baryons !Decays and Quantum numbers !CKM matrix 1 Announcements •No lecture on Friday. •Remaining lectures: •Tuesday 13 March •Friday 16 March •Tuesday 20 March •Friday 23 March •Tuesday 27 March •Friday 30 March •Tuesday 3 April •Remaining Tutorials: •Monday 26 March •Monday 2 April 2 From Friday: Mesons and Baryons Summary • Quarks are confined to colourless bound states, collectively known as hadrons: " mesons: quark and anti-quark. Bosons (s=0, 1) with a symmetric colour wavefunction. " baryons: three quarks. Fermions (s=1/2, 3/2) with antisymmetric colour wavefunction. " anti-baryons: three anti-quarks. • Lightest mesons & baryons described by isospin (I, I3), strangeness (S) and hypercharge Y " isospin I=! for u and d quarks; (isospin combined as for spin) " I3=+! (isospin up) for up quarks; I3="! (isospin down) for down quarks " S=+1 for strange quarks (additive quantum number) " hypercharge Y = S + B • Hadrons display SU(3) flavour symmetry between u d and s quarks. Used to predict the allowed meson and baryon states. • As baryons are fermions, the overall wavefunction must be anti-symmetric. The wavefunction is product of colour, flavour, spin and spatial parts: ! = "c "f "S "L an odd number of these must be anti-symmetric. • consequences: no uuu, ddd or sss baryons with total spin J=# (S=#, L=0) • Residual strong force interactions between colourless hadrons propagated by mesons. 3 Resonances • Hadrons which decay due to the strong force have very short lifetime # ~ 10"24 s • Evidence for the existence of these states are resonances in the experimental data Γ2/4 σ = σ • Shape is Breit-Wigner distribution: max (E M)2 + Γ2/4 14 41. -
Arxiv:1502.07763V2 [Hep-Ph] 1 Apr 2015
Constraints on Dark Photon from Neutrino-Electron Scattering Experiments S. Bilmi¸s,1 I. Turan,1 T.M. Aliev,1 M. Deniz,2, 3 L. Singh,2, 4 and H.T. Wong2 1Department of Physics, Middle East Technical University, Ankara 06531, Turkey. 2Institute of Physics, Academia Sinica, Taipei 11529, Taiwan. 3Department of Physics, Dokuz Eyl¨ulUniversity, Izmir,_ Turkey. 4Department of Physics, Banaras Hindu University, Varanasi, 221005, India. (Dated: April 2, 2015) Abstract A possible manifestation of an additional light gauge boson A0, named as Dark Photon, associated with a group U(1)B−L is studied in neutrino electron scattering experiments. The exclusion plot on the coupling constant gB−L and the dark photon mass MA0 is obtained. It is shown that contributions of interference term between the dark photon and the Standard Model are important. The interference effects are studied and compared with for data sets from TEXONO, GEMMA, BOREXINO, LSND as well as CHARM II experiments. Our results provide more stringent bounds to some regions of parameter space. PACS numbers: 13.15.+g,12.60.+i,14.70.Pw arXiv:1502.07763v2 [hep-ph] 1 Apr 2015 1 CONTENTS I. Introduction 2 II. Hidden Sector as a beyond the Standard Model Scenario 3 III. Neutrino-Electron Scattering 6 A. Standard Model Expressions 6 B. Very Light Vector Boson Contributions 7 IV. Experimental Constraints 9 A. Neutrino-Electron Scattering Experiments 9 B. Roles of Interference 13 C. Results 14 V. Conclusions 17 Acknowledgments 19 References 20 I. INTRODUCTION The recent discovery of the Standard Model (SM) long-sought Higgs at the Large Hadron Collider is the last missing piece of the SM which is strengthened its success even further. -
Detection of a Hypercharge Axion in ATLAS
Detection of a Hypercharge Axion in ATLAS a Monte-Carlo Simulation of a Pseudo-Scalar Particle (Hypercharge Axion) with Electroweak Interactions for the ATLAS Detector in the Large Hadron Collider at CERN Erik Elfgren [email protected] December, 2000 Division of Physics Lule˚aUniversity of Technology Lule˚a, SE-971 87, Sweden http://www.luth.se/depts/mt/fy/ Abstract This Master of Science thesis treats the hypercharge axion, which is a hy- pothetical pseudo-scalar particle with electroweak interactions. First, the theoretical context and the motivations for this study are discussed. In short, the hypercharge axion is introduced to explain the dominance of matter over antimatter in the universe and the existence of large-scale magnetic fields. Second, the phenomenological properties are analyzed and the distin- guishing marks are underlined. These are basically the products of photons and Z0swithhightransversemomentaandinvariantmassequaltothatof the axion. Third, the simulation is carried out with two photons producing the axion which decays into Z0s and/or photons. The event simulation is run through the simulator ATLFAST of ATLAS (A Toroidal Large Hadron Col- lider ApparatuS) at CERN. Finally, the characteristics of the axion decay are analyzed and the crite- ria for detection are presented. A study of the background is also included. The result is that for certain values of the axion mass and the mass scale (both in the order of a TeV), the hypercharge axion could be detected in ATLAS. Preface This is a Master of Science thesis at the Lule˚a University of Technology, Sweden. The research has been done at Universit´edeMontr´eal, Canada, under the supervision of Professor Georges Azuelos. -
11. the Cabibbo-Kobayashi-Maskawa Mixing Matrix
11. CKM mixing matrix 103 11. THE CABIBBO-KOBAYASHI-MASKAWA MIXING MATRIX Revised 1997 by F.J. Gilman (Carnegie-Mellon University), where ci =cosθi and si =sinθi for i =1,2,3. In the limit K. Kleinknecht and B. Renk (Johannes-Gutenberg Universit¨at θ2 = θ3 = 0, this reduces to the usual Cabibbo mixing with θ1 Mainz). identified (up to a sign) with the Cabibbo angle [2]. Several different forms of the Kobayashi-Maskawa parametrization are found in the In the Standard Model with SU(2) × U(1) as the gauge group of literature. Since all these parametrizations are referred to as “the” electroweak interactions, both the quarks and leptons are assigned to Kobayashi-Maskawa form, some care about which one is being used is be left-handed doublets and right-handed singlets. The quark mass needed when the quadrant in which δ lies is under discussion. eigenstates are not the same as the weak eigenstates, and the matrix relating these bases was defined for six quarks and given an explicit A popular approximation that emphasizes the hierarchy in the size parametrization by Kobayashi and Maskawa [1] in 1973. It generalizes of the angles, s12 s23 s13 , is due to Wolfenstein [4], where one ≡ the four-quark case, where the matrix is parametrized by a single sets λ s12 , the sine of the Cabibbo angle, and then writes the other angle, the Cabibbo angle [2]. elements in terms of powers of λ: × By convention, the mixing is often expressed in terms of a 3 3 1 − λ2/2 λAλ3(ρ−iη) − unitary matrix V operating on the charge e/3 quarks (d, s,andb): V = −λ 1 − λ2/2 Aλ2 . -
Charm Meson Molecules and the X(3872)
Charm Meson Molecules and the X(3872) DISSERTATION Presented in Partial Fulfillment of the Requirements for the Degree Doctor of Philosophy in the Graduate School of The Ohio State University By Masaoki Kusunoki, B.S. ***** The Ohio State University 2005 Dissertation Committee: Approved by Professor Eric Braaten, Adviser Professor Richard J. Furnstahl Adviser Professor Junko Shigemitsu Graduate Program in Professor Brian L. Winer Physics Abstract The recently discovered resonance X(3872) is interpreted as a loosely-bound S- wave charm meson molecule whose constituents are a superposition of the charm mesons D0D¯ ¤0 and D¤0D¯ 0. The unnaturally small binding energy of the molecule implies that it has some universal properties that depend only on its binding energy and its width. The existence of such a small energy scale motivates the separation of scales that leads to factorization formulas for production rates and decay rates of the X(3872). Factorization formulas are applied to predict that the line shape of the X(3872) differs significantly from that of a Breit-Wigner resonance and that there should be a peak in the invariant mass distribution for B ! D0D¯ ¤0K near the D0D¯ ¤0 threshold. An analysis of data by the Babar collaboration on B ! D(¤)D¯ (¤)K is used to predict that the decay B0 ! XK0 should be suppressed compared to B+ ! XK+. The differential decay rates of the X(3872) into J=Ã and light hadrons are also calculated up to multiplicative constants. If the X(3872) is indeed an S-wave charm meson molecule, it will provide a beautiful example of the predictive power of universality. -
06.08.2010 Yuming Wang the Charm-Loop Effect in B → K () L
The Charm-loop effect in B K( )`+` ! ∗ − Yu-Ming Wang Theoretische Physik I , Universitat¨ Siegen A. Khodjamirian, Th. Mannel,A. Pivovarov and Y.M.W. arXiv:1006.4945 Workshop on QCD and hadron physics, Weihai, August, 2010 1 0 2 4 6 8 10 12 14 16 18 20 0 2.5 5 7.5 10 12.5 15 17.5 20 22.5 25 0 2 4 6 8 10 12 14 16 18 20 I. Motivation and introduction ( ) + B K ∗ ` `− induced by b s FCNC current: • prospectiv! e channels for the search! for new physics, a multitude of non-trival observables, Available measurements from BaBar, Belle, and CDF. Current averages (from HFAG, Sep., 2009): • BR(B Kl+l ) = (0:45 0:04) 10 6 ! − × − BR(B K l+l ) = (1:08+0:12) 10 6 : ! ∗ − 0:11 × − Invariant mass distribution and FBA (Belle,−2009): ) 2 1.2 /c 1 2 1 L / GeV 0.5 0.8 F -7 (10 0.6 2 0 0.4 1 0.2 dBF/dq 0.5 ) 0 FB 2 A /c 2 0.5 0 0.4 / GeV -7 0.3 (10 1 2 0.2 I A 0 0.1 dBF/dq 0 -1 0 2.5 5 7.5 10 12.5 15 17.5 20 22.5 25 0 2 4 6 8 10 12 14 16 18 20 q2(GeV2/c2) q2(GeV2/c2) Yu-Ming Wang Workshop on QCD and hadron physics, Weihai, August, 2010 2 q2(GeV2/c2) q2(GeV2/c2) Decay amplitudes in SM: • A(B K( )`+` ) = K( )`+` H B ; ! ∗ − −h ∗ − j eff j i 4G 10 H = F V V C (µ)O (µ) ; eff p tb ts∗ i i − 2 iX=1 Leading contributions from O and O can be reduced to B K( ) 9;10 7γ ! ∗ form factors. -
Electro-Weak Interactions
Electro-weak interactions Marcello Fanti Physics Dept. | University of Milan M. Fanti (Physics Dep., UniMi) Fundamental Interactions 1 / 36 The ElectroWeak model M. Fanti (Physics Dep., UniMi) Fundamental Interactions 2 / 36 Electromagnetic vs weak interaction Electromagnetic interactions mediated by a photon, treat left/right fermions in the same way g M = [¯u (eγµ)u ] − µν [¯u (eγν)u ] 3 1 q2 4 2 1 − γ5 Weak charged interactions only apply to left-handed component: = L 2 Fermi theory (effective low-energy theory): GF µ 5 ν 5 M = p u¯3γ (1 − γ )u1 gµν u¯4γ (1 − γ )u2 2 Complete theory with a vector boson W mediator: g 1 − γ5 g g 1 − γ5 p µ µν p ν M = u¯3 γ u1 − 2 2 u¯4 γ u2 2 2 q − MW 2 2 2 g µ 5 ν 5 −−−! u¯3γ (1 − γ )u1 gµν u¯4γ (1 − γ )u2 2 2 low q 8 MW p 2 2 g −5 −2 ) GF = | and from weak decays GF = (1:1663787 ± 0:0000006) · 10 GeV 8 MW M. Fanti (Physics Dep., UniMi) Fundamental Interactions 3 / 36 Experimental facts e e Electromagnetic interactions γ Conserves charge along fermion lines ¡ Perfectly left/right symmetric e e Long-range interaction electromagnetic µ ) neutral mass-less mediator field A (the photon, γ) currents eL νL Weak charged current interactions Produces charge variation in the fermions, ∆Q = ±1 W ± Acts only on left-handed component, !! ¡ L u Short-range interaction L dL ) charged massive mediator field (W ±)µ weak charged − − − currents E.g. -
Charm and Strange Quark Contributions to the Proton Structure
Report series ISSN 0284 - 2769 of SE9900247 THE SVEDBERG LABORATORY and \ DEPARTMENT OF RADIATION SCIENCES UPPSALA UNIVERSITY Box 533, S-75121 Uppsala, Sweden http://www.tsl.uu.se/ TSL/ISV-99-0204 February 1999 Charm and Strange Quark Contributions to the Proton Structure Kristel Torokoff1 Dept. of Radiation Sciences, Uppsala University, Box 535, S-751 21 Uppsala, Sweden Abstract: The possibility to have charm and strange quarks as quantum mechanical fluc- tuations in the proton wave function is investigated based on a model for non-perturbative QCD dynamics. Both hadron and parton basis are examined. A scheme for energy fluctu- ations is constructed and compared with explicit energy-momentum conservation. Resulting momentum distributions for charniand_strange quarks in the proton are derived at the start- ing scale Qo f°r the perturbative QCD evolution. Kinematical constraints are found to be important when comparing to the "intrinsic charm" model. Master of Science Thesis Linkoping University Supervisor: Gunnar Ingelman, Uppsala University 1 kuldsepp@tsl .uu.se 30-37 Contents 1 Introduction 1 2 Standard Model 3 2.1 Introductory QCD 4 2.2 Light-cone variables 5 3 Experiments 7 3.1 The HERA machine 7 3.2 Deep Inelastic Scattering 8 4 Theory 11 4.1 The Parton model 11 4.2 The structure functions 12 4.3 Perturbative QCD corrections 13 4.4 The DGLAP equations 14 5 The Edin-Ingelman Model 15 6 Heavy Quarks in the Proton Wave Function 19 6.1 Extrinsic charm 19 6.2 Intrinsic charm 20 6.3 Hadronisation 22 6.4 The El-model applied to heavy quarks -
Introduction to Flavour Physics
Introduction to flavour physics Y. Grossman Cornell University, Ithaca, NY 14853, USA Abstract In this set of lectures we cover the very basics of flavour physics. The lec- tures are aimed to be an entry point to the subject of flavour physics. A lot of problems are provided in the hope of making the manuscript a self-study guide. 1 Welcome statement My plan for these lectures is to introduce you to the very basics of flavour physics. After the lectures I hope you will have enough knowledge and, more importantly, enough curiosity, and you will go on and learn more about the subject. These are lecture notes and are not meant to be a review. In the lectures, I try to talk about the basic ideas, hoping to give a clear picture of the physics. Thus many details are omitted, implicit assumptions are made, and no references are given. Yet details are important: after you go over the current lecture notes once or twice, I hope you will feel the need for more. Then it will be the time to turn to the many reviews [1–10] and books [11, 12] on the subject. I try to include many homework problems for the reader to solve, much more than what I gave in the actual lectures. If you would like to learn the material, I think that the problems provided are the way to start. They force you to fully understand the issues and apply your knowledge to new situations. The problems are given at the end of each section. -
On the Kaon' S Structure Function from the Strangeness Asymmetry in The
On the Kaon’ s structure function from the strangeness asymmetry in the nucleon Luis A. Trevisan*, C. Mirez†, Lauro Tomio† and Tobias Frederico** *Departamento de Matemática e Estatística, Universidade Estadual de Ponta Grossa, 84010-790, Ponta Grossa, PR, Brazil † Institute de Física Tedrica, Universidade Estadual Paulista, UNESP, 01405-900, São Paulo, SP, Brazil **Departamento de Física, Instituto Tecnológico de Aeronáutica, CTA, 12228-900, São José dos Campos, SP, Brazil Abstract. We propose a phenomenological approach based in the meson cloud model to obtain the strange quark structure function inside a kaon, considering the strange quark asymmetry inside the nucleon. Keywords: Kaon, strange quark, structure function, asymmetry PACS: 13.75.Jz, 11.30.Hv, 12.39.x, 14.65.Bt The experimental data from CCFR and NuTeV collaborations [1] show that the distri bution function for strange and anti-strange quark are asymmetric. If we consider only gluon splitting processes, such asymmetry cannot be found, since the quarks generated by gluons should have the same momentum distribution. So, among the models that have been proposed (or considered) to explain the asymmetry, the most popular are based on meson clouds or A - K fluctuations [2, 3]. By using this kind of model, we analyze the behavior of some parameterizations for the strange quark distribution s(x), in terms of the Bjorken scale x, and discuss how to estimate the structure function for a constituent quark in a Kaon. The strange quark distribution in the nucleon sea, as well as the distribution for u and d quarks, can be separated into perturbative and nonperturbative parts. -
Lecture 5: Quarks & Leptons, Mesons & Baryons
Physics 3: Particle Physics Lecture 5: Quarks & Leptons, Mesons & Baryons February 25th 2008 Leptons • Quantum Numbers Quarks • Quantum Numbers • Isospin • Quark Model and a little History • Baryons, Mesons and colour charge 1 Leptons − − − • Six leptons: e µ τ νe νµ ντ + + + • Six anti-leptons: e µ τ νe̅ νµ̅ ντ̅ • Four quantum numbers used to characterise leptons: • Electron number, Le, muon number, Lµ, tau number Lτ • Total Lepton number: L= Le + Lµ + Lτ • Le, Lµ, Lτ & L are conserved in all interactions Lepton Le Lµ Lτ Q(e) electron e− +1 0 0 1 Think of Le, Lµ and Lτ like − muon µ− 0 +1 0 1 electric charge: − tau τ − 0 0 +1 1 They have to be conserved − • electron neutrino νe +1 0 0 0 at every vertex. muon neutrino νµ 0 +1 0 0 • They are conserved in every tau neutrino ντ 0 0 +1 0 decay and scattering anti-electron e+ 1 0 0 +1 anti-muon µ+ −0 1 0 +1 anti-tau τ + 0 −0 1 +1 Parity: intrinsic quantum number. − electron anti-neutrino ν¯e 1 0 0 0 π=+1 for lepton − muon anti-neutrino ν¯µ 0 1 0 0 π=−1 for anti-leptons tau anti-neutrino ν¯ 0 −0 1 0 τ − 2 Introduction to Quarks • Six quarks: d u s c t b Parity: intrinsic quantum number • Six anti-quarks: d ̅ u ̅ s ̅ c ̅ t ̅ b̅ π=+1 for quarks π=−1 for anti-quarks • Lots of quantum numbers used to describe quarks: • Baryon Number, B - (total number of quarks)/3 • B=+1/3 for quarks, B=−1/3 for anti-quarks • Strangness: S, Charm: C, Bottomness: B, Topness: T - number of s, c, b, t • S=N(s)̅ −N(s) C=N(c)−N(c)̅ B=N(b)̅ −N(b) T=N( t )−N( t )̅ • Isospin: I, IZ - describe up and down quarks B conserved in all Quark I I S C B T Q(e) • Z interactions down d 1/2 1/2 0 0 0 0 1/3 up u 1/2 −1/2 0 0 0 0 +2− /3 • S, C, B, T conserved in strange s 0 0 1 0 0 0 1/3 strong and charm c 0 0 −0 +1 0 0 +2− /3 electromagnetic bottom b 0 0 0 0 1 0 1/3 • I, IZ conserved in strong top t 0 0 0 0 −0 +1 +2− /3 interactions only 3 Much Ado about Isospin • Isospin was introduced as a quantum number before it was known that hadrons are composed of quarks.