dorsal/arxiv
View SchemaThe role of $q\bar q$ components in the N(1440) resonance
| Authors | Q. B. Li, D. O. Riska |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0605076 |
| URL | https://arxiv.org/abs/nucl-th/0605076 |
| DOI | 10.1103/PhysRevC.74.015202 |
| Journal | Phys.Rev.C74:015202,2006 |
Abstract
The role of 5-quark components in the pion and electromagnetic decays and transition form factors of the N(1440) is explored. The $qqqq\bar q$ components, where the 4-quark subsystem has the flavor-spin symmetries $[4]_{FS}[22]_F[22]_S$ and $[4]_{FS}[31]_F[31]_S$, which are expected to have the lowest energy of all $qqqq\bar q$ configurations, are considered in detail with a nonrelativistic quark model. The matrix elements between the 5-quark components of the N(1440) and the nucleon, $qqqq\bar q\to qqqq\bar q$, play a minor role in these decays, while the transition matrix elements $qqqq\bar q\to qqq$ and $qqq\to qqqq\bar q$ that involve quark antiquark annihilation are very significant. Both for the electromagnetic and strong decay the change from the valence quark model value is dominated by the confinement triggered $q\bar q$ annihilation transitions. In the case of pion decay the calculated decay width is enhanced substantially both by the direct $q\bar q \to \pi$ and also by the confinement triggered $q\bar q\to \pi$ transitions. Agreement with the empirical value for the pion decay width may be reached with a $\sim$ 30% $qqqq\bar q$ component in the N(1440).
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"abstract": "The role of 5-quark components in the pion and electromagnetic decays and\ntransition form factors of the N(1440) is explored. The $qqqq\\bar q$\ncomponents, where the 4-quark subsystem has the flavor-spin symmetries\n$[4]_{FS}[22]_F[22]_S$ and $[4]_{FS}[31]_F[31]_S$, which are expected to have\nthe lowest energy of all $qqqq\\bar q$ configurations, are considered in detail\nwith a nonrelativistic quark model. The matrix elements between the 5-quark\ncomponents of the N(1440) and the nucleon, $qqqq\\bar q\\to qqqq\\bar q$, play a\nminor role in these decays, while the transition matrix elements $qqqq\\bar q\\to\nqqq$ and $qqq\\to qqqq\\bar q$ that involve quark antiquark annihilation are very\nsignificant. Both for the electromagnetic and strong decay the change from the\nvalence quark model value is dominated by the confinement triggered $q\\bar q$\nannihilation transitions. In the case of pion decay the calculated decay width\nis enhanced substantially both by the direct $q\\bar q \\to \\pi$ and also by the\nconfinement triggered $q\\bar q\\to \\pi$ transitions. Agreement with the\nempirical value for the pion decay width may be reached with a $\\sim$ 30%\n$qqqq\\bar q$ component in the N(1440).",
"arxiv_id": "nucl-th/0605076",
"authors": [
"Q. B. Li",
"D. O. Riska"
],
"categories": [
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"doi": "10.1103/PhysRevC.74.015202",
"journal_ref": "Phys.Rev.C74:015202,2006",
"title": "The role of $q\\bar q$ components in the N(1440) resonance",
"url": "https://arxiv.org/abs/nucl-th/0605076"
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