Exam (elaborations) TEST BANK FOR Introduction to Elementary Particles 2nd Edition By Griffiths D.J. (Solution manual)

1 Historical Introduction to the Elementary Particles 1 2 Elementary Particle Dynamics 9 3 Relativistic Kinematics 17 4 Symmetries 37 5 Bound States 57 6 The Feynman Calculus 79 7 Quantum Electrodynamics 97 8 Electrodynamics and Chromodynamics of Quarks 147 9 Weak Interactions 171 10 Gauge Theories 209 Contents VII 11 Neutrino Oscillations 233 12 What’s Next 237 A The Dirac Delta Function 247 1 1 Historical Introduction to the Elementary Particles Problem 1.1 For an undeflected charged particle, qE = qvB =) v = E B . With just a magnetic field, qvB = m v2 R =) q m = v BR = E B2R . Problem 1.2 r0 = 10−15 m; ¯h = 6.58 × 10−22 MeV s; c = 3.00 × 108 m/s; so m = ¯h 2r0c =  ¯hc 2r0  1 c2 = 98.7 MeV/c2 . Observed mp = 138 MeV/c2. Off by a factor of 1.4. Problem 1.3 r0 = 10−15 m; ¯h = 6.58 × 10−22 MeV s; c = 3.00 × 108 m/s; me = 0.511 MeV/c2. DxDp  ¯h 2 so pmin = ¯h 2r0 =  ¯hc 2r0  1 c = 98.7 MeV/c . Emin = q p2 minc2 + m2e c4 = 98.7 MeV . The energy of an electron emitted in the beta decay of tritium is 17 keV. 2 1 Historical Introduction to the Elementary Particles Problem 1.4 mL = 1 3 [2 (mN + mX) − mS] . mN = 938.9; mX = 1318.1; mS = 1190.5. So mL = 1 3 [2 (2257.0) − 1190.5] = 1107.8 MeV/c2. Observed mL = 1115.7 MeV/c2. Off by 0.7%. Problem 1.5 m2 h = 1 3 h 2  m2 K + m2 K  − m2 p i = 1 3  4m2 K − m2 p  . mK = 495.67; mp = 138.04. m2 h = 1 3 h 9.637 × 105 i = 3.212 × 105 ) mh = 566.8 MeV/c2. Actually mh = 547.3 MeV/c2. Off by 3.5%. Problem 1.6 MD − MS = 1232 − 1385 = −153 MS − MX = 1385 − 1533 = −148. Average: −151. ) MW = MX + 151 = 1533 + 151 = 1684 MeV/c2. Actually MW = 1672 MeV/c2. Off by 0.7%. Problem 1.7 (a) D− −! n + p− or S− + K0 S+ −! p + K¯0; S+ + p0; S+ + h; S0 + p+; L + p+; X0 + K+ X− −! S0 + K−; S− + K¯0; L + K−; X0 + p−; X− + p0; X− + h 3 (b) Kinematically allowed: D− −! n + p− S+ −! S+ + p0; S0 + p+; L + p+ X− −! X0 + p−; X− + p0 Problem 1.8 (a) With a strangeness of −3, the W− would have to go to