dorsal/arxiv
View SchemaConstraints on the $\pi NN$ Coupling Constant from the $NN$ System
| Authors | R. Machleidt, G. Q. Li |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9311012 |
| URL | https://arxiv.org/abs/nucl-th/9311012 |
Abstract
The sensitivity of the deuteron and of $pp$ scattering to the $\pi NN$ and $\rho NN$ coupling constants is investigated systematically. We find that the deuteron can be described about equally well with either {\it large $\pi$ and $\rho$} or {\it small $\pi$ and $\rho$} coupling constants. However, $pp$ scattering clearly {\it requires} the strong $\rho$, but favors the weak $\pi$ (particularly, in $^3P_0$ at low energies). This apparent contradiction between bound-state and scattering can be resolved by either assuming charge-dependent $\pi NN$ coupling constants or by adding a heavy pion to the NN model. In both cases, the neutral-pion coupling constant is small ($g^2_{\pi^0}/4\pi= 13.5$).
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"abstract": "The sensitivity of the deuteron and of $pp$ scattering to the $\\pi NN$ and\n$\\rho NN$ coupling constants is investigated systematically. We find that the\ndeuteron can be described about equally well with either {\\it large $\\pi$ and\n$\\rho$} or {\\it small $\\pi$ and $\\rho$} coupling constants. However, $pp$\nscattering clearly {\\it requires} the strong $\\rho$, but favors the weak $\\pi$\n(particularly, in $^3P_0$ at low energies). This apparent contradiction between\nbound-state and scattering can be resolved by either assuming charge-dependent\n$\\pi NN$ coupling constants or by adding a heavy pion to the NN model. In both\ncases, the neutral-pion coupling constant is small ($g^2_{\\pi^0}/4\\pi= 13.5$).",
"arxiv_id": "nucl-th/9311012",
"authors": [
"R. Machleidt",
"G. Q. Li"
],
"categories": [
"nucl-th"
],
"title": "Constraints on the $\\pi NN$ Coupling Constant from the $NN$ System",
"url": "https://arxiv.org/abs/nucl-th/9311012"
},
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