{
  "id": "0709.1239",
  "version": "v3",
  "published": "2007-09-09T01:11:40.000Z",
  "updated": "2008-05-13T19:17:33.000Z",
  "title": "Bridging over p-wave pi-production and weak processes in few-nucleon systems with chiral perturbation theory",
  "authors": [
    "Satoshi X. Nakamura"
  ],
  "comment": "30 pages, 13 figures, figures changed, compacted text",
  "journal": "Phys.Rev.C77:054001,2008",
  "doi": "10.1103/PhysRevC.77.054001",
  "categories": [
    "nucl-th"
  ],
  "abstract": "I study an aspect of chiral perturbation theory (\\chi PT) which enables one to ``bridge'' different reactions. That is, an operator fixed in one of the reactions can then be used to predict the other. For this purpose, I calculate the partial wave amplitude for the p-wave pion production (pp\\to pn\\pi^+) using the pion production operator from the lowest and the next nonvanishing orders. The operator includes a contact operator whose coupling has been fixed using a matrix element of a low-energy weak process (pp\\to de^+\\nu_e). I find that this operator does not reproduce the partial wave amplitude extracted from experimental data, showing that the bridging over the reactions with significantly different kinematics is not necessarily successful. I study the dependence of the amplitude on the various inputs such as the NN potential, the \\pi N\\Delta coupling, and the cutoff. I argue the importance of a higher order calculation. In order to gain an insight into a higher order calculation, I add a higher order counter term to the operator used above, and fit the couplings to both the low-energy weak process and the pion production. The energy dependence of the partial wave amplitude for the pion production is described by the operator consistently with the data. However, I find a result which tells us to be careful about the convergence of the chiral expansion for the pp\\to pn\\pi^+ reaction.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-05-13T19:17:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "25.40.-h",
      "11.30.Rd",
      "25.10.+s",
      "13.60.Le"
    ],
    "keywords": [
      "chiral perturbation theory",
      "partial wave amplitude",
      "weak processes",
      "few-nucleon systems",
      "pion production"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review C",
      "year": 2008,
      "month": "May",
      "volume": 77,
      "number": 5,
      "pages": "054001"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 760322,
      "adsabs": "2008PhRvC..77e4001N"
    }
  }
}