Subatomic Physics

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5.14. References 129 in Section 5.5, often leads to long and heated arguments. An interesting brief discussion is given in M.O. Scully and M. Sargent III, “The Concept of the Photon,” Phys. Today 25, 38 (March 1972). A more complete exposition can be found in M.SargentIII,M.O.Scully,andW.E.Lamb,Jr.,Laser <strong>Physics</strong>, Addison-Wesley, Reading, 1974. A recent review of the photon’s history and on upper limits on its mass and charge are given by L.B. Okun Acta Phys. Polon. B37, 565 (2006); also at hep-ph/0602036. Charged leptons are discussed by M.L. Perl, Phys. Tod. 50, 34 (Oct. 1997), and neutrinos by W.C. Haxton and B.R. Holstein, Am. Jour. Phys. 72, 18 (2004). Examples of recent findings of new particles can be found in T.M. Liss, P.L. Tipton Sci. Am. 277, 54 (1997) (on the top quark) and in R.M. Thurman-Keup, A.V. Kotwal, M. Tecchio, A. Byon-Wagner, Rev. Mod. Phys. 73, 267 (2001) (on the W boson). Problems 5.1. ∗ Does a vanishing mass indicate that the corresponding particle has no gravitational interaction? If not, how can the force in a gravitational field be defined? 5.2. ∗ Discuss the Mössbauer experiment that indicates that photons falling in the earth’s gravitational field gain energy. Why can such an experiment not be performed with optical photons? [R.V. Pound and J.L. Snider, Phys. Rev. 140B, 788 (1965).] 5.3. Use Eq. (5.4) and the corresponding complete expressions for the operators L 2 and Lz to find the eigenvalues l and m for the functions Y 0 0 (θ, ϕ) =(4π) −1/2 Y 0 1 (θ, ϕ) =1 2 Y ±1 1 (θ, ϕ) =± 1 2 � 3 π � 1/2 cos θ � 3 2π � 1/2 sin θ exp(± iϕ). Here θ and ϕ are the angles defining spherical coordinates. 5.4. Verify Eq. (5.5). 5.5. Assume that electron and muon are uniform spheres with a radius of 0.1 fm. Compute the velocity at the surface caused by the rotation with spin ( 3 4 )1/2 �. 5.6. Consider a system consisting of two identical particles and assume that the total wave function is of the form ψ(x1, x2) =Aψ(x1)ϕ(x2)+Bψ(x2)ϕ(x1).
130 The <strong>Subatomic</strong> Zoo If ψ and φ are orthonormal, find the values of A and B that make the total wave function normalized to unity and (a) symmetric, (b) antisymmetric, or (c) neither under interchange 1 ⇋ 2. 5.7. Does a particle with zero electric charge necessarily have no interaction with an external electromagnetic field? Give an example of a neutral particle that does interact with an external electromagnetic field. Find an example for a particle that does not. Does a particle with electric charge necessarily interact with an external electromagnetic field? 5.8. A nucleus with a spin J =2andag factor of g = −2 is placed in a magnetic field of 1 MG. (a) Where can such a field be found? (b) Sketch the corresponding splitting of the energy levels. Label the levels with magnetic quantum numbers M. Find the value of the splitting between two adjacent levels in eV and in K. 5.9. Show that the magnetic dipole moment of a particle with spin J =0must vanish. 5.10. ∗ Discuss the setup and basic features of the experiment to determine masses of short-lived isotopes using Penning traps. (See K. Blaum, Phys. Rep. 425, 1 (2006).) 5.11. The determination of the mass of a particle often requires knowledge of its velocity. Discuss the principle of the Cerenkov counter. Show that the Cerenkov counter is a velocity-dependent detector. 5.12. How were the masses of the following particles determined: (a) Muon (b) Charged pion (c) Neutral pion (d) Charged kaon (e) Charged sigma (f) Cascade particle (Ξ). 5.13. Use wave packets to justify the interpretation of a particle with negative energy being a particle with positive energy but moving backward in time.
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SUBAT MIC PHYSICS Third Edition
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SUBAT MIC PHYSICS Ernest M Henley A
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To Elaine and Viviana
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Acknowledgments In writing the pres
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Preface to the First Edition Subato
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Preface to the Third Edition Subato
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General Bibliography The reader of
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Contents Dedication v Acknowledgmen
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Contents xvii 6 Structure of Subato
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Contents xix 12.5 GeneralReferences
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Chapter 1 Background and Language H
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1.2. Units 3 1.2 Units Table 1.1: B
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1.3. Special Relativity, Feynman Di
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1.3. Special Relativity, Feynman Di
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1.4. References 9 Problems 1.1. ∗
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Part I Tools One of the most frustr
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Chapter 2 Accelerators 2.1 Why Acce
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2.1. Why Accelerators? 15 particle
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2.2. Cross Sections and Luminosity
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2.3. Electrostatic Generators (Van
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2.4. Linear Accelerators (Linacs) 2
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2.5. Beam Optics 23 Figure 2.8: Rec
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2.6. Synchrotrons 25 Figure 2.10: E
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2.6. Synchrotrons 27 Photo 3: The p
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2.7. Laboratory and Center-of-Momen
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2.8. Colliding Beams 31 or with Eqs
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2.10. Beam Storage and Cooling 33 l
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2.11. References 35 and in E. Byckl
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2.11. References 37 (b) Extreme rel
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Chapter 3 Passage of Radiation Thro
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3.2. Heavy Charged Particles 41 Fig
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3.2. Heavy Charged Particles 43 −
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3.3. Photons 45 Equation (3.2) also
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3.4. Electrons 47 Figure 3.8: Passa
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3.5. Nuclear Interactions 49 Figure
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3.6. References 51 3.8. A beam of 1
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Chapter 4 Detectors What would a ph
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4.1. Scintillation Counters 55 The
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4.2. Statistical Aspects 57 Or, to
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4.3. Semiconductor Detectors 59 kno
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4.3. Semiconductor Detectors 61 Fig
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4.4. Bubble Chambers 63 Photo 5: Bu
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4.6. Wire Chambers 65 voltage suppl
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4.8. Time Projection Chambers 67 Fi
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4.10. Calorimeters 69 Figure 4.18:
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4.11. Counter Electronics 71 Figure
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4.13. References 73 Table 4.1: Func
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4.13. References 75 4.6. Sketch the
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Part II Particles and Nuclei The si
Page 100 and 101: Chapter 5 The Subatomic Zoo A conve
Page 102 and 103: 5.1. Mass and Spin. Fermions and Bo
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Page 106 and 107: 5.2. Electric Charge and Magnetic D
Page 108 and 109: 5.3. Mass Measurements 87 Figure 5.
Page 110 and 111: 5.3. Mass Measurements 89 Figure 5.
Page 112 and 113: 5.3. Mass Measurements 91 Earlier,
Page 114 and 115: 5.4. A First Glance at the Subatomi
Page 116 and 117: 5.5. Gauge Bosons 95 Figure 5.13: A
Page 118 and 119: 5.6. Leptons 97 to its momentum, re
Page 120 and 121: 5.7. Decays 99 Figure 5.15: Exponen
Page 122 and 123: 5.7. Decays 101 The function g(ω)
Page 124 and 125: 5.8. Mesons 103 5.8 Mesons Table 5.
Page 126 and 127: 5.9. Baryon Ground States 105 Japan
Page 128 and 129: 5.9. Baryon Ground States 107 neutr
Page 130 and 131: 5.10. Particles and Antiparticles 1
Page 132 and 133: 5.10. Particles and Antiparticles 1
Page 134 and 135: 5.11. Quarks, Gluons, and Intermedi
Page 140 and 141: 5.12. Excited States and Resonances
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Page 144 and 145: 5.13. Excited States of Baryons 123
Page 152 and 153: 5.14. References 131 5.14. Use the
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Page 156 and 157: Chapter 6 Structure of Subatomic Pa
Page 158 and 159: 6.2. Rutherford and Mott Scattering
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Page 162 and 163: 6.3. Form Factors 141 The scatterin
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Page 166 and 167: 6.4. The Charge Distribution of Sph
Page 168 and 169: 6.5. Leptons Are Point Particles 14
Page 174 and 175: 6.6. Nucleon Elastic Form Factors 1
Page 182 and 183: 6.8. Inelastic Electron and Muon Sc
Page 184 and 185: 6.8. Inelastic Electron and Muon Sc
Page 186 and 187: 6.9. Deep Inelastic Electron Scatte
Page 188 and 189: 6.10. Quark-Parton Model for Deep I
Page 194 and 195: 6.11. More Details on Scattering an
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6.11. More Details on Scattering an
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6.12. References 189 Some character
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6.12. References 191 (c) Show that
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6.12. References 193 6.23. Show tha
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Part III Symmetries and Conservatio
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Chapter 7 Additive Conservation Law
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7.1. Conserved Quantities and Symme
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7.1. Conserved Quantities and Symme
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7.2. The Electric Charge 203 7.2 Th
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7.2. The Electric Charge 205 or [Q,
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7.3. The Baryon Number 207 antineut
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7.4. Lepton and Lepton Flavor Numbe
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7.5. Strangeness Flavor 211 all bel
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7.5. Strangeness Flavor 213 Positiv
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7.6. Additive Quantum Numbers of Qu
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7.7. References 217 There are also
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7.7. References 219 7.12. Follow th
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Chapter 8 Angular Momentum and Isos
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8.2. Symmetry Breaking by a Magneti
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8.4. The Nucleon Isospin 225 8.4 Th
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8.5. Isospin Invariance 227 magneti
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8.6. Isospin of Particles 229 the v
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8.6. Isospin of Particles 231 The a
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8.7. Isospin in Nuclei 233 If the e
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8.8. References 235 Isospin doublet
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8.8. References 237 8.4. Verify the
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Chapter 9 P , C, CP, andT In the pr
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9.1. The Parity Operation 241 P is
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9.2. The Intrinsic Parities of Suba
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9.2. The Intrinsic Parities of Suba
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9.3. Conservation and Breakdown of
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9.4. Charge Conjugation 253 “Is t
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9.4. Charge Conjugation 255 The π
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9.5. Time Reversal 257 if Tψ(t) an
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9.5. Time Reversal 259 found to be
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9.6. The Two-State Problem 261 Hami
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9.7. The Neutral Kaons 263 9.7 The
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9.7. The Neutral Kaons 265 3. The s
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9.7. The Neutral Kaons 267 and only
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9.8. The Fall of CP Invariance 269
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9.9. References 271 • There are t
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9.9. References 273 9.8. * Find inf
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9.9. References 275 9.27. Assume th
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9.9. References 277 9.39. Compare t
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Part IV Interactions In the previou
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Chapter 10 The Electromagnetic Inte
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10.1. The Golden Rule 283 Schrödin
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10.1. The Golden Rule 285 where it
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10.2. Phase Space 287 Figure 10.4:
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10.3. The Classical Electromagnetic
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10.3. The Classical Electromagnetic
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10.4. Photon Emission 293 is a twof
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10.4. Photon Emission 295 the form
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10.4. Photon Emission 297 where V (
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10.5. Multipole Radiation 299 The t
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10.5. Multipole Radiation 301 Figur
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10.6. Electromagnetic Scattering of
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10.6. Electromagnetic Scattering of
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10.7. Vector Mesons as Mediators of
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10.7. Vector Mesons as Mediators of
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10.8. Colliding Beams 311 10.8 Coll
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10.8. Colliding Beams 313 Figure 10
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10.9. Electron-Positron Collisions
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10.10. The Photon-Hadron Interactio
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10.11. Magnetic Monopoles 323 The s
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10.12. References 325 Quantum Elect
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10.12. References 327 (b) Compare t
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10.12. References 329 (a) How would
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Chapter 11 The Weak Interaction Thi
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11.1. The Continuous Beta Spectrum
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11.2. Beta Decay Lifetimes 335 The
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11.3. The Current-Current Interacti
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11.4. A Variety of Weak Processes 3
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11.4. A Variety of Weak Processes 3
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11.5. The Muon Decay 347 Linac Pion
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11.6. The Weak Current of Leptons 3
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11.6. The Weak Current of Leptons 3
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11.7. Chirality versus Helicity 353
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11.9. Weak Decays of Quarks and the
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11.10. Weak Currents in Nuclear Phy
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11.10. Weak Currents in Nuclear Phy
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11.11. Inverse Beta Decay: Reines a
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11.12. Massive Neutrinos 363 11.12
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11.13. Majorana versus Dirac Neutri
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11.14. The Weak Current of Hadrons
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11.15. References 375 11.15 Referen
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11.15. References 377 11.5. Beta sp
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11.15. References 379 (b) * Discuss
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11.15. References 381 11.41. For nu
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Chapter 12 Introduction to Gauge Th
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12.1. Introduction 385 D0 ≡ 1 ∂
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12.2. Potentials in Quantum Mechani
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12.3. Gauge Invariance for Non-Abel
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12.3. Gauge Invariance for Non-Abel
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12.4. The Higgs Mechanism; Spontane
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12.5. General References 401 12.5 G
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Chapter 13 The Electroweak Theory o
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13.2. The Gauge Bosons and Weak Iso
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13.2. The Gauge Bosons and Weak Iso
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13.3. The Electroweak Interaction 4
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13.4. Tests of the Standard Model 4
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13.4. Tests of the Standard Model 4
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13.5. References 419 Physics. 112,
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Chapter 14 Strong Interactions All
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14.1. Range and Strength of the Low
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14.2. The Pion-Nucleon Interaction
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14.3. The Form of the Pion-Nucleon
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14.4. The Yukawa Theory of Nuclear
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14.5. Low-Energy Nucleon-Nucleon Fo
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14.6. Meson Theory of the Nucleon-N
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14.7. Strong Processes at High Ener
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14.8. The Standard Model, Quantum C
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14.9. QCD at Low Energies 457 An ex
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14.10. Grand Unified Theories, Supe
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14.11. References 461 and Partons,
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14.11. References 463 Fig. 14.28 14
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14.11. References 465 14.25. The lo
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14.11. References 467 (b) What comb
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Part V Models “A model is like an
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Chapter 15 Quark Models of Mesons a
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15.2. Quarks as Building Blocks of
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15.4. Mesons as Bound Quark States
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15.4. Mesons as Bound Quark States
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15.5. Baryons as Bound Quark States
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15.6. The Hadron Masses 481 Figure
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15.7. QCD and Quark Models of the H
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15.8. Heavy Mesons: Charmonium, Ups
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15.9. Outlook and Problems 493 wher
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15.10. References 495 On a more adv
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15.10. References 497 where J± = J
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15.10. References 499 (b) Apply the
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Chapter 16 Liquid Drop Model, Fermi
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16.1. The Liquid Drop Model 503 Fig
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16.1. The Liquid Drop Model 505 Bey
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16.2. The Fermi Gas Model 507 N = V
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E/A(MeV) 16.3. Heavy Ion Reactions
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16.4. Relativistic Heavy Ion Collis
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16.4. Relativistic Heavy Ion Collis
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16.5. References 515 medium (i.e. s
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16.5. References 517 16.12. Symmetr
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16.5. References 519 16.25. At RHIC
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Chapter 17 The Shell Model The liqu
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17.1. The Magic Numbers 523 The res
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17.2. The Closed Shells 525 solved
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17.2. The Closed Shells 527 Figure
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17.3. The Spin-Orbit Interaction 52
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17.4. The Single-Particle Shell Mod
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17.5. Generalization of the Single-
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17.6. Isobaric Analog Resonances 53
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17.7. Nuclei Far From the Valley of
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17.8. References 539 An elementary
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17.8. References 541 (b) N odd. (c)
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Chapter 18 Collective Model Althoug
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18.1. Nuclear Deformations 545 spin
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18.2. Rotational Spectra of Spinles
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18.2. Rotational Spectra of Spinles
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18.3. Rotational Families 551 A spi
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18.3. Rotational Families 553 2. Th
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18.4. One-Particle Motion in Deform
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18.4. One-Particle Motion in Deform
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18.5. Vibrational States in Spheric
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18.5. Vibrational States in Spheric
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18.6. The Interacting Boson Model 5
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18.7. Highly Excited States; Giant
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18.8. Nuclear Models—Concluding R
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18.8. Nuclear Models—Concluding R
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18.9. References 571 J. S. Vaagen,
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18.9. References 573 18.13. Verify
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18.9. References 575 18.33. Conside
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18.9. References 577 18.51. (a) In
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Chapter 19 Nuclear and Particle Ast
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19.1. The Beginning of the Universe
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19.1. The Beginning of the Universe
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19.2. Primordial Nucleosynthesis 58
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19.3. Stellar Energy and Nucleosynt
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19.4. Stellar Collapse and Neutron
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19.4. Stellar Collapse and Neutron
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19.5. Cosmic Rays 597 We are consta
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19.5. Cosmic Rays 599 Figure 19.11:
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19.6. Neutrino Astronomy and Cosmol
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19.8. References 603 baryon excess
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19.8. References 605 Neutron Stars
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19.8. References 607 (a) What is th
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Index Abundance, 585-586 Accelerato
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Index 611 drift chambers, 66-67 ele
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Index 613 diagrams, 279 electromagn
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Index 615 outlook, 567 Nuclear stru
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Index 617 poles, 494 recurrences, 4
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Index 619 TCP theorem, 269, 448 Tem
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