introduction-weak-interaction-volume-one

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Chapter One : Quantum Mechanics . 1 .1 Natter Wave s 1 .2 Experimental Verification of De Broglie's Hypothesi s 1 .3 The Schrddinger Equation 1 .4 Interpretation of the Wave Function 1.5 Quantization 1 .6 The Hamilton Equation s 1.7 The Dirac Equation 1 .8 The Solution of the Dirac Equation . ,Chapter Two : Field Theory . , 2 .1 The Operators PCT 2.2 The Free Scalar Field 2.3 Transformational Properties of the Scalar Fiel d 2.4 The Free Spinor Field 2 .5 Transformational Properties of the Spinor Fiel d 2.6 Interacting Field s 2 .7 The CPT Theorem . Chapter Three : The Decay of the i;cutron . 3 .1 Phenomenology of the Neutron Deca y 3 .2 The Detection of the Neutrino 3 .3 The Beta Decay Hamiltonia n 3 .4 The Beta Decay Transition Rat e 3 .5 The Theory of Beta Decay Transition s 3 .6 The V - A Theory and the Coupling Constants in Neutron Decay 3 .7 The Violation of Parit y 3 .8 The Two-Comp<strong>one</strong>nt Theory of the Neutrino .
Chapter Four : Weak Leptonic Reactions . 4 .1 The Phenomenology of Muon Decay 4 .2 The Theory of Muon Decay 4 .3 The Two Neutrino s 4 .4 Currents in Leptonic Reaction s 4 .5 The Conservation of Leptons . Chapter Five : The Hadronic Structure of the Weak Interaction . 5 .1 The Quantum Numbers of the Strong Interactio n 5 .2 The Conserved Vector Current Hypothesi s 5 .3 The Structure of the Weak Hadronic Current 5.4 Form Factors 5 .5 Weak Magnetism . Chapter Six : Weak Interactions of the Hadron s . 6.1 Pion Decay 6 .2 Electron-Mon Universality in Pion Decay 6 .3 The Decay of the Charged Kao n 6 .4 Hyperon Decay s 6 .5 Lambda Hyperon Decay 6 .6 Sigma Hyperon Decay 6 .7 Isotopic Selection Rules in Hyperon Decays . 6 .8 Neutrino-Hadron Interactions . Chapter Seven : The K° and CP Violation . 7 .1 The K° Decay Matrix Element 7.2 The Dual Properties of the K ° 7 .3 Phenomena in K° Bean s 7.4 CP Violation 7.5 Models for CP Violation .
Page 2 and 3: INTRODUCTION TO THE WEAK INTERACTIO
Page 4: D R A F T O N E B COPY TWO . Summer
Page 9 and 10: E = gf (1 .1 .5 ) which Planck had
Page 11 and 12: 1 .3 The Schrddinmer Equation . (21
Page 13 and 14: IN, we have 1 )(e, t} (e°t , aE =
Page 15 and 16: (r~ t) _ f(r) ejEtm (1 .5 .5 ) We n
Page 17 and 18: .2+ V Thus H = (1/2m) p 2 -{- V and
Page 19 and 20: e and c = m . 0 (1 .7 .15 ) (1 .7 .
Page 21 and 22: and thus, from (1 .7 .10) and (1 .7
Page 23 and 24: CHAPTER TbO : FIELD THEORY . 2 .1 T
Page 25 and 26: In 1939, Wigner introduced the time
Page 27 and 28: conjugate of the ket . We operate o
Page 29 and 30: matrix is one such that Wt = u tU =
Page 31 and 32: and under time reversal T (T( T ( x
Page 33 and 34: antiparticle's is always aligned pa
Page 35 and 36: and from (2 .6 .13) and (2 .6 .14 )
Page 37 and 38: an d CPT ( '(x)) --TA-2,:) 5 (2 .7
Page 39 and 40: energies, then it we difficult to s
Page 41 and 42: in timing or by a pulse from a furt
Page 43 and 44: less rigorous but still physically
Page 45 and 46: constants . Noninvariance of the we
Page 47 and 48: B i rather than of the C . and C .
Page 49 and 50: universal electromagnetic coupling
Page 51 and 52: occured, but the observation of the
Page 53 and 54: u = e 3 P 'r 1 + r + (J p'r)2 . . .
Page 55 and 56:
where X = 121, N . ue(+)(9.e) Fi uv
Page 57 and 58:
= i Re (C S CV + cS caw ) vF,1 2 +
Page 59 and 60:
1g-t = z (1 + '( 5 )y , (3 .6 .8b )
Page 61 and 62:
We find that any wave function 14r(
Page 63 and 64:
- Ja/(Ja t 1) J b = Ja + 1 , J b =
Page 65 and 66:
where C . = C! = G . /f 2 (3 .7 .7f
Page 67 and 68:
wher e _1(1) = C(2) _O (3 .7 .15b )
Page 69 and 70:
multiple scattering, which can simu
Page 71 and 72:
The annihilation of free helical po
Page 73 and 74:
of the decay gamma ray will be prop
Page 75 and 76:
We are thus forced to conclude that
Page 77 and 78:
((Jg - E) w j )r qr u = = 0 , (3 .8
Page 79 and 80:
REFERENCES . 1 . H . Becquerel : Co
Page 81 and 82:
37. See e .g . M . A . Preston : Ph
Page 83 and 84:
CHAPTER FOUR : WEAK LIPTONIC REACTI
Page 85 and 86:
(~ w/ St) (d3Pe)/(2n )5 J J d 3p v
Page 87 and 88:
_ (-3a ' - 4b' + 14c')/(a t 4b + 6c
Page 89 and 90:
necessary to have a high flux of hi
Page 91 and 92:
4 .4 Currents in Leptonic Reactions
Page 93 and 94:
e t e > )-k- + , (4 .4 .22 ) which
Page 95 and 96:
K(36) = (1/Y) (T/108 ) 8 (4 .4 .41
Page 97 and 98:
neutrinos is 10 22 .5 * 2 .5 (22) .
Page 99 and 100:
might be composed of a bound state
Page 101 and 102:
of T 3 the Pauli spin matrix (1 .7
Page 103 and 104:
isospin—formulated fields, but th
Page 105 and 106:
We see that the first term in (5 .2
Page 107 and 108:
changing semileptonic reactions occ
Page 109 and 110:
vanishes, the n e jn I 2 JH(o) e O"
Page 111 and 112:
A(q 2) + B (q 2 ) tan g (O /2) (5 .
Page 113 and 114:
where A and B are the initial and f
Page 115 and 116:
magnetic effects in these decays wo
Page 117 and 118:
values for the constants in (5 .5 .
Page 119 and 120:
5 .6 The Current-Current Approach .
Page 121 and 122:
includes also neutral hadron curren
Page 123:
in good agreement with the theoreti
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