dorsal/arxiv
View SchemaThree-body decay of the d* dibaryon
| Authors | Chun Wa Wong |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9806071 |
| URL | https://arxiv.org/abs/nucl-th/9806071 |
| DOI | 10.1103/PhysRevC.58.2414 |
| Journal | Phys.Rev.C58:2414-2428,1998 |
Abstract
Under certain circumstances, a three-body decay width can be approximated by an integral involving a product of two off-shell two-body decay widths. This ``angle-average'' approximation is used to calculate the $\pi NN$ decay width of the $d^*(J^\pi=3^+, T=0)$ dibaryon in a simple $\Delta^2$ model for the most important Feynman diagrams describing pion emissions with baryon-baryon recoil and meson retardation. The decay width is found to be about 0.006 (0.07, 0.5) MeV at the $d^*$ mass of 2065 (2100, 2150) MeV for input dynamics derived from the Full Bonn potential. The smallness of this width is qualitatively understood as the result of the three-body decay being ``third forbidden''. The concept of $\ell$ forbiddenness and the threshold behavior of a three-body decay are further studied in connection with the $\pi NN$ decay of the dibaryon $d'(J^\pi=0^-, T=0 or 2)$ where the idea of unfavorness has to be introduced. The implications of these results are briefly discussed.
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"abstract": "Under certain circumstances, a three-body decay width can be approximated by\nan integral involving a product of two off-shell two-body decay widths. This\n``angle-average\u0027\u0027 approximation is used to calculate the $\\pi NN$ decay width\nof the $d^*(J^\\pi=3^+, T=0)$ dibaryon in a simple $\\Delta^2$ model for the most\nimportant Feynman diagrams describing pion emissions with baryon-baryon recoil\nand meson retardation. The decay width is found to be about 0.006 (0.07, 0.5)\nMeV at the $d^*$ mass of 2065 (2100, 2150) MeV for input dynamics derived from\nthe Full Bonn potential. The smallness of this width is qualitatively\nunderstood as the result of the three-body decay being ``third forbidden\u0027\u0027. The\nconcept of $\\ell$ forbiddenness and the threshold behavior of a three-body\ndecay are further studied in connection with the $\\pi NN$ decay of the dibaryon\n$d\u0027(J^\\pi=0^-, T=0 or 2)$ where the idea of unfavorness has to be introduced.\nThe implications of these results are briefly discussed.",
"arxiv_id": "nucl-th/9806071",
"authors": [
"Chun Wa Wong"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.58.2414",
"journal_ref": "Phys.Rev.C58:2414-2428,1998",
"title": "Three-body decay of the d* dibaryon",
"url": "https://arxiv.org/abs/nucl-th/9806071"
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