{
  "id": "1109.1230",
  "version": "v2",
  "published": "2011-09-06T17:04:21.000Z",
  "updated": "2011-11-04T14:02:09.000Z",
  "title": "New relation between transverse angular momentum and generalized parton distributions",
  "authors": [
    "Elliot Leader"
  ],
  "comment": "6 pages",
  "categories": [
    "hep-ph",
    "hep-ex"
  ],
  "abstract": "I derive a rigorous relation between the expectation value of the transverse component of the angular momentum <J_T> of a quark in a transversely polarized nucleon in terms of the Generalized Parton Distributions H and E, namely <J_T(quark)> = 1/2M [P_0 \\int dx x E_q(x,0,0) + M \\int dx x H_q(x,0,0)] where P_0 is the energy of the nucleon and where \"quark\" implies the sum of quark and antiquark of a given flavor. A similar relation holds for gluons. The result is remarkably similar to Ji's relation for the case of longitudinal polarization. In this revised version, I have rectified some misleading statements, introduced a more precise notation and specified mpre clearly the meaning of the terms in both the Ji and the new tranverse relation.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-11-04T14:02:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12.38.Aw",
      "12.38.Bx",
      "11.15.-q",
      "12.20.-m"
    ],
    "keywords": [
      "generalized parton distributions",
      "transverse angular momentum",
      "similar relation holds",
      "expectation value",
      "longitudinal polarization"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevD.85.051501",
      "journal": "Physical Review D",
      "year": 2012,
      "month": "Mar",
      "volume": 85,
      "number": 5,
      "pages": "051501"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 926495,
      "adsabs": "2012PhRvD..85e1501L"
    }
  }
}