dorsal/arxiv
View SchemaCharge-dependence of the $\pi NN$ coupling constant and charge-dependence of the NN interaction
| Authors | R. Machleidt, M. K. Banerjee |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9908066 |
| URL | https://arxiv.org/abs/nucl-th/9908066 |
| DOI | 10.1007/s006010070019 |
| Journal | Few Body Syst. 28 (2000) 139-146 |
Abstract
The recent determination of the charged $\pi NN$ coupling constant, $g_{\pi^\pm}$, by the Uppsala Neutron Research Group implies that there may be considerable charge-splitting of the pion coupling constant. We investigate the consequences of this for the charge-independence breaking (CIB) of the $^1S_0$ scattering length, $\Delta a_{CIB}$. We find that $\Delta a_{CIB}$ depends sensitively on the difference between $g_{\pi^\pm}$ and the neutral $\pi NN$ coupling constant, $g_{\pi^0}$. Moreover, if $g^2_{\pi^\pm}$ is only about 3% larger than $g^2_{\pi^0}$, then the established theoretical explanation of $\Delta a_{CIB}$ (in terms of pion mass splitting) is completely wiped out.
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"abstract": "The recent determination of the charged $\\pi NN$ coupling constant,\n$g_{\\pi^\\pm}$, by the Uppsala Neutron Research Group implies that there may be\nconsiderable charge-splitting of the pion coupling constant. We investigate the\nconsequences of this for the charge-independence breaking (CIB) of the $^1S_0$\nscattering length, $\\Delta a_{CIB}$. We find that $\\Delta a_{CIB}$ depends\nsensitively on the difference between $g_{\\pi^\\pm}$ and the neutral $\\pi NN$\ncoupling constant, $g_{\\pi^0}$. Moreover, if $g^2_{\\pi^\\pm}$ is only about 3%\nlarger than $g^2_{\\pi^0}$, then the established theoretical explanation of\n$\\Delta a_{CIB}$ (in terms of pion mass splitting) is completely wiped out.",
"arxiv_id": "nucl-th/9908066",
"authors": [
"R. Machleidt",
"M. K. Banerjee"
],
"categories": [
"nucl-th",
"nucl-ex"
],
"doi": "10.1007/s006010070019",
"journal_ref": "Few Body Syst. 28 (2000) 139-146",
"title": "Charge-dependence of the $\\pi NN$ coupling constant and charge-dependence of the NN interaction",
"url": "https://arxiv.org/abs/nucl-th/9908066"
},
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