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Form factor (quantum field theory)

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for this interaction, and are routinely measured experimentally; these three effective vertices can then be used to check, or perform calculations that would otherwise be too difficult to perform from first principles. This matrix element then serves to determine the transition amplitude involved in
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of form factor components correspond to electric charge or magnetic profile space distributions (such as the
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is a very complicated calculation involving interactions between the photon and a sea of
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Charles Perdrisat and Vina Punjabi (2010). "Nucleon Form factors",
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the scattering interaction or the respective particle decay—cf.
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Wilson, R. (1969). "Form factors of elementary particles",
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for the electromagnetic current interaction is known,
300: 257: 95: 294:is the energy of the photon). The three functions: 82:However, the generic Lorentz-invariant form of the 318: 270: 240: 59:For example, at low energies the interaction of a 39:that encapsulates the properties of a certain 560: 8: 567: 553: 16:Function approximating net physical effect 299: 262: 256: 237: 223: 210: 197: 178: 165: 146: 133: 107: 106: 100: 94: 350:) of the hadron involved. The analogous 43:without including all of the underlying 319:{\displaystyle \alpha ,\beta ,\kappa } 7: 521: 519: 539:. You can help Knowledge (XXG) by 14: 523: 203: 190: 171: 158: 139: 126: 112: 1: 49:experimental particle physics 468:Elementary Particle Physics 607: 518: 445:Cambridge University Press 470:, John Wiley & Sons, 399:Photon structure function 271:{\displaystyle q^{\mu }} 282:(equal in magnitude to 535:-related article is a 326:are associated to the 320: 278:represents the photon 272: 242: 55:Photon–nucleon example 29:effective field theory 591:Quantum physics stubs 332:magnetic form factors 321: 273: 243: 586:Quantum field theory 464:Gasiorowicz, Stephen 441:Quantum Field Theory 404:Quantum field theory 394:Magnetic form factor 389:Electric form factor 298: 255: 93: 41:particle interaction 25:mathematical physics 357:are a probe of the 355:structure functions 337:Fermi's golden rule 77:structure functions 27:, in particular in 419:Special relativity 384:Atomic form factor 379:Structure function 344:Fourier transforms 316: 268: 238: 548: 547: 533:quantum mechanics 498:10.1063/1.3035356 454:978-0-521-46946-3 414:Quantum mechanics 365:distributions of 115: 598: 569: 562: 555: 527: 520: 480: 458: 437:Brown, Lowell S. 342:In general, the 325: 323: 322: 317: 277: 275: 274: 269: 267: 266: 247: 245: 244: 239: 233: 229: 228: 227: 218: 217: 202: 201: 183: 182: 170: 169: 151: 150: 138: 137: 117: 116: 108: 105: 104: 21:particle physics 606: 605: 601: 600: 599: 597: 596: 595: 576: 575: 574: 573: 516: 478: 462: 455: 435: 432: 375: 296: 295: 258: 253: 252: 219: 206: 193: 174: 161: 142: 129: 122: 118: 96: 91: 90: 57: 17: 12: 11: 5: 604: 602: 594: 593: 588: 578: 577: 572: 571: 564: 557: 549: 546: 545: 528: 514: 513: 511:online article 500: 482: 481: 477:978-0471292876 476: 460: 453: 431: 428: 427: 426: 421: 416: 411: 409:Standard model 406: 401: 396: 391: 386: 381: 374: 371: 315: 312: 309: 306: 303: 265: 261: 249: 248: 236: 232: 226: 222: 216: 213: 209: 205: 200: 196: 192: 189: 186: 181: 177: 173: 168: 164: 160: 157: 154: 149: 145: 141: 136: 132: 128: 125: 121: 114: 111: 103: 99: 84:matrix element 56: 53: 19:In elementary 15: 13: 10: 9: 6: 4: 3: 2: 603: 592: 589: 587: 584: 583: 581: 570: 565: 563: 558: 556: 551: 550: 544: 542: 538: 534: 529: 526: 522: 517: 512: 509:(8): 10204. 508: 505: 501: 499: 495: 491: 488: 487:Physics today 484: 483: 479: 473: 469: 465: 461: 456: 450: 446: 442: 438: 434: 433: 429: 425: 424:Charge radius 422: 420: 417: 415: 412: 410: 407: 405: 402: 400: 397: 395: 392: 390: 387: 385: 382: 380: 377: 376: 372: 370: 368: 364: 360: 356: 353: 349: 348:charge radius 345: 340: 338: 333: 329: 313: 310: 307: 304: 301: 293: 289: 285: 281: 263: 259: 234: 230: 224: 220: 214: 211: 207: 198: 194: 187: 184: 179: 175: 166: 162: 155: 152: 147: 143: 134: 130: 123: 119: 109: 101: 97: 89: 88: 87: 85: 80: 78: 74: 70: 66: 62: 54: 52: 50: 46: 42: 38: 34: 30: 26: 22: 541:expanding it 530: 515: 506: 504:Scholarpedia 503: 489: 486: 467: 440: 341: 291: 287: 283: 250: 81: 58: 32: 18: 33:form factor 580:Categories 430:References 314:κ 308:β 302:α 264:μ 225:ν 215:ν 212:μ 208:σ 188:κ 180:μ 156:β 148:μ 144:γ 124:α 113:¯ 102:μ 98:ε 466:(1966), 439:(1994). 373:See also 367:nucleons 328:electric 290:, where 280:momentum 37:function 65:nucleon 63:with a 45:physics 492:p 47, 474:  451:  251:where 73:gluons 69:quarks 61:photon 531:This 459:p 400 363:gluon 359:quark 35:is a 537:stub 472:ISBN 449:ISBN 361:and 330:and 71:and 31:, a 23:and 494:doi 352:QCD 582:: 490:22 447:. 443:. 369:. 339:. 51:. 568:e 561:t 554:v 543:. 507:5 496:: 457:. 311:, 305:, 292:E 288:c 286:/ 284:E 260:q 235:N 231:) 221:q 204:) 199:2 195:q 191:( 185:+ 176:q 172:) 167:2 163:q 159:( 153:+ 140:) 135:2 131:q 127:( 120:( 110:N

Index

particle physics
mathematical physics
effective field theory
function
particle interaction
physics
experimental particle physics
photon
nucleon
quarks
gluons
structure functions
matrix element
momentum
electric
magnetic form factors
Fermi's golden rule
Fourier transforms
charge radius
QCD
structure functions
quark
gluon
nucleons
Structure function
Atomic form factor
Electric form factor
Magnetic form factor
Photon structure function
Quantum field theory

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