dorsal/arxiv
View Schema$\Delta I=1$ axial-vector mixing and charge symmetry breaking
| Authors | S. A. Coon, B. H. J. McKellar, V. G. J. Stoks |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9606054 |
| URL | https://arxiv.org/abs/nucl-th/9606054 |
| DOI | 10.1016/0370-2693(96)00896-9 |
| Journal | Phys.Lett. B385 (1996) 25-32 |
Abstract
Phenomenological Lagrangians that exhibit (broken) chiral symmetry as well as isospin violation suggest short-range charge symmetry breaking (CSB) nucleon-nucleon potentials with a $\mbox{\boldmath $\sigma$}_1 \!\cdot\!\mbox{\boldmath $\sigma$}_2$ structure. This structure could be realized by the mixing of axial-vector ($1^+$) mesons in a single-meson exchange picture. The Coleman-Glashow scheme for $\Delta I_{z}=1$ charge symmetry breaking applied to meson and baryon $SU(2)$ mass splittings suggests a universal scale. This scale can be extended to $\Delta I=1$ nonstrange CSB transitions $\langle a_1^\circ|H_{em}|f_1\rangle$ of size $-0.005$ GeV$^2$. The resulting nucleon-nucleon axial-vector meson exchange CSB potential then predicts $\Delta I=1$ effects which are small.
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"abstract": "Phenomenological Lagrangians that exhibit (broken) chiral symmetry as well as\nisospin violation suggest short-range charge symmetry breaking (CSB)\nnucleon-nucleon potentials with a $\\mbox{\\boldmath $\\sigma$}_1\n\\!\\cdot\\!\\mbox{\\boldmath $\\sigma$}_2$ structure. This structure could be\nrealized by the mixing of axial-vector ($1^+$) mesons in a single-meson\nexchange picture. The Coleman-Glashow scheme for $\\Delta I_{z}=1$ charge\nsymmetry breaking applied to meson and baryon $SU(2)$ mass splittings suggests\na universal scale. This scale can be extended to $\\Delta I=1$ nonstrange CSB\ntransitions $\\langle a_1^\\circ|H_{em}|f_1\\rangle$ of size $-0.005$ GeV$^2$. The\nresulting nucleon-nucleon axial-vector meson exchange CSB potential then\npredicts $\\Delta I=1$ effects which are small.",
"arxiv_id": "nucl-th/9606054",
"authors": [
"S. A. Coon",
"B. H. J. McKellar",
"V. G. J. Stoks"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/0370-2693(96)00896-9",
"journal_ref": "Phys.Lett. B385 (1996) 25-32",
"title": "$\\Delta I=1$ axial-vector mixing and charge symmetry breaking",
"url": "https://arxiv.org/abs/nucl-th/9606054"
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