dorsal/arxiv
View SchemaUse of V_{low-k} in a chiral-perturbation-theory description of the $pp\to pp\pi^0$ reaction
| Authors | Y. Kim, I. Danchev, K. Kubodera, F. Myhrer, T. Sato |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0509004 |
| URL | https://arxiv.org/abs/nucl-th/0509004 |
| DOI | 10.1103/PhysRevC.73.025202 |
| Journal | Phys.Rev.C73:025202,2006 |
Abstract
Previously, the near-threhold $pp\to pp\pi^0$ reaction was studied with the use of transition operators derived from chiral perturbation theory ($\chi$PT) and the nuclear wave functions generated by high-precision phenomenological potentials. A conceptual problem in that approach was that the transition amplitude receives contributions from very high momentum components (above the cutoff scale of $\chi$PT) in the nuclear wave functions. In the present work, we avoid this problem by replacing the "bare" phenomenological potentials with V_{low-k}, which is an effective potential derived from a bare potential by integrating out momentum components higher than a specified cutoff scale. The use of V_{low-k} is found to give an enhancement of the $pp\to pp\pi^0$ cross sections over the values obtained with bare potentials. Although this enhancement brings the calculated cross sections closer to the experimental values, the incident-energy dependence of the cross section is not well reproduced, a problem that seems to indicate the necessity of including higher chiral order terms than considered in the present work.
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"abstract": "Previously, the near-threhold $pp\\to pp\\pi^0$ reaction was studied with the\nuse of transition operators derived from chiral perturbation theory ($\\chi$PT)\nand the nuclear wave functions generated by high-precision phenomenological\npotentials. A conceptual problem in that approach was that the transition\namplitude receives contributions from very high momentum components (above the\ncutoff scale of $\\chi$PT) in the nuclear wave functions. In the present work,\nwe avoid this problem by replacing the \"bare\" phenomenological potentials with\nV_{low-k}, which is an effective potential derived from a bare potential by\nintegrating out momentum components higher than a specified cutoff scale. The\nuse of V_{low-k} is found to give an enhancement of the $pp\\to pp\\pi^0$ cross\nsections over the values obtained with bare potentials. Although this\nenhancement brings the calculated cross sections closer to the experimental\nvalues, the incident-energy dependence of the cross section is not well\nreproduced, a problem that seems to indicate the necessity of including higher\nchiral order terms than considered in the present work.",
"arxiv_id": "nucl-th/0509004",
"authors": [
"Y. Kim",
"I. Danchev",
"K. Kubodera",
"F. Myhrer",
"T. Sato"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.73.025202",
"journal_ref": "Phys.Rev.C73:025202,2006",
"title": "Use of V_{low-k} in a chiral-perturbation-theory description of the $pp\\to pp\\pi^0$ reaction",
"url": "https://arxiv.org/abs/nucl-th/0509004"
},
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