Transverse spin physics / Vincenzo Barone, Philip G. Ratcliffe.

Format:

Book

Author/Creator:

Barone, Vincenzo, 1964-

Contributor:

Ratcliffe, Philp G.

Language:

English

Subjects (All):

Nuclear spin.

High spin physics.

Hadrons.

Physical Description:

xii, 294 pages : b illustrations ; 24 cm

Place of Publication:

River Edge, N.J. : World Scientific, [2003]

Summary:

Now that a decade of theoretical work has shed light on the theory and phenomenology of transverse-spin effects in high-energy hadronic physics, and a number of experiments are scheduled to run worldwide over the next few years with transversely polarized beams and targets that should reveal much about the transverse-spin structure of hadrons, Barone (U. of Piemonte Oreintale, Italy) and Ratcliffe (U. of Insubria, Italy) think the right moment has come to assess the state of the knowledge. Annotation (c)2003 Book News, Inc., Portland, OR (booknews.com)

Contents:

1.1 The transverse-spin structure function and the transversity distributions 2

1.2 A first look at g[subscript 2] 3

Chapter 2 Polarised deeply-inelastic scattering 13

2.1 Basics of DIS 14

2.2 The unpolarised cross-section 17

2.3 Polarised cross-sections 19

2.4 Target polarisation 22

2.5 Forward virtual Compton scattering 24

2.6 Spin asymmetries 26

2.7 The partonic content of structure functions 28

2.7.1 Unpolarised structure functions 31

2.7.2 The longitudinal spin structure function 33

2.7.3 The transverse-spin structure function 34

2.8 Mellin moments of polarised structure functions 39

2.8.1 The first moment of g[subscript 1] 40

2.8.2 The Bjorken sum rule 42

2.8.3 The Wandzura-Wilczek relation 43

2.8.4 The Burkhardt-Cottingham sum rule 44

2.8.5 The Efremov-Leader-Teryaev sum rule 46

2.9 Experimental results on polarised structure functions 46

2.10 Transverse spin in electroweak DIS 53

Chapter 3 The transverse-spin structure of the proton 57

3.1 The quark-quark correlation matrix 57

3.2 Leading-twist distribution functions 59

3.3 Probabilistic interpretation of distribution functions 62

3.4 Vector, axial and tensor charges 65

3.5 Quark-nucleon helicity amplitudes 66

3.6 The Soffer inequality 68

3.7 Transverse motion of quarks 70

3.8 Twist-three distributions 75

3.9 Sum rules for [Delta subscript T]f and gT 81

3.10 T-odd distributions 83

3.11 Model calculations 87

3.11.1 Models for the transversity distributions 88

3.11.2 Calculations of the tensor charges 96

3.11.3 Models for g[subscript 2] 98

Chapter 4 The QCD evolution of transversity 103

4.1 The renormalisation-group equation 104

4.2 QCD evolution at leading order 109

4.3 QCD evolution at next-to-leading order 115

4.4 Fragmentation functions at next-to-leading order 123

4.5 Evolution of the transversity distributions 126

4.6 Evolution of the Soffer inequality and positivity constraints 131

4.7 The low-x behaviour of h[subscript 1] 135

Chapter 5 The g[subscript 2] structure function in QCD 137

5.1 The operator-product expansion

non-singlet 139

5.2 Ladder-diagram summation 143

5.3 Singlet g[subscript 2] in LO 146

5.4 Non-singlet and singlet coefficients g[subscript 2] in NLO 146

5.5 Sum rules for g[subscript 2] in QCD 147

5.5.1 The Burkhardt-Cottingham sum rule in QCD 147

5.5.2 The Wandzura-Wilczek relation in QCD 149

5.5.3 The Efremov-Leader-Teryaev sum rule in QCD 150

5.6 Low-x behaviour of g2 150

5.7 Twist-three evolution equations in the large-N[subscript c] limit 151

5.8 Evolution of the g2 fragmentation function 154

Chapter 6 Transversity in Drell-Yan production 157

6.1 Double transverse-spin asymmetries 157

6.2 The Drell-Yan process 158

6.2.1 Z[superscript 0]-mediated Drell-Yan processes 165

6.3 Factorisation in Drell-Yan processes 165

6.4 Twist-three contributions to the Drell-Yan process 171

6.5 Predictions for Drell-Yan double transverse-spin asymmetries 176

6.6 Transversity at RHIC 179

Chapter 7 Transversity in inclusive leptoproduction 183

7.1 Single-particle leptoproduction: definitions and kinematics 183

7.2 The partonic description of semi-inclusive DIS 187

7.3 The fragmentation matrix 190

7.4 Time reversal and transverse polarisation 192

7.5 Leading-twist fragmentation functions 194

7.5.1 [kappa subscript T]-dependent fragmentation functions 197

7.6 The Collins fragmentation function 200

7.7 Cross-sections and asymmetries of inclusive leptoproduction 203

7.7.1 Integrated cross-sections 205

7.7.2 Single-spin azimuthal asymmetries 205

7.8 Factorisation in semi-inclusive DIS 211

7.8.1 The collinear case 211

7.8.2 The non-collinear case 216

7.8.3 Sudakov form factors 218

7.9 Inclusive leptoproduction at twist three 219

7.10 Two-particle leptoproduction 220

7.11 Leptoproduction of spin-one hadrons 229

7.12 Transversity in exclusive leptoproduction processes 231

7.13 Phenomenological analyses and experimental results 232

7.13.1 [Lambda superscript 0] hyperson polarimetry 232

7.13.2 Azimuthal asymmetries in pion leptoproduction 234

7.13.3 Transverse polarisation in e[superscript +]e[superscript -] collisions 241

7.14 Experimental perspectives 242

7.14.1 HERMES 242

7.14.2 COMPASS 243

7.14.3 ELFE 244

7.14.4 TESLA-N 244

Chapter 8 Transversity in inclusive hadroproduction 245

8.1 Inclusive hadroproduction with a transversely polarised target 245

8.2 Transverse motion of quarks and single-spin asymmetries 248

8.3 Single-spin asymmetries at twist three 251

8.3.1 Experimental results and phenomenology 252

Appendix A Polarisation of a Dirac particle 257

A.1 The polarisation operator and spin vector 257

A.2 Longitudinal polarisation 259

A.3 Transverse polarisation 260

A.4 The spin density matrix 261

Appendix B Sudakov decomposition of yectors 263

Appendix C Projectors for structure functions 265

Appendix D Reference frames 267

D.1 The [gamma]*N collinear frames 267

D.2 The hN collinear frames 268

Appendix E Dimensional regularisation and minimal subtraction 271

Appendix F Mellin-moment identities 275.

Notes:

Includes bibliographical references and index.

ISBN:

9812381015

OCLC:

52441640