dorsal/arxiv
View SchemaComment on "Phase-Shift Analysis of NN Scattering Below 160 Mev: Indication of a Strong Tensor Force"
| Authors | G. E. Brown, R. Machleidt |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9312001 |
| URL | https://arxiv.org/abs/nucl-th/9312001 |
Abstract
In his recent publication of a NN phase shift analysis below 160 MeV, Henneck reports relatively large values for the mixing parameter $\epsilon_1$. Based on these results, Henneck suggests that the strength of the $\rho$-meson tensor coupling to the nucleon may be weaker than used in present day NN interactions, like the Paris or Bonn potentials. We point out that at low energies ( < 100 MeV ) there is very little sensitivity to the strength of the $\rho$ coupling, due to the compensating effect of the second order tensor term. In order to establish sensitivity, one has to go to energies > 200 MeV, where the second order contribution has gone out. As it happens, the $\epsilon_1$ mixing parameter is well determined in the region of energies 200--300 MeV, and there is agreement with the predictions by the Paris and Bonn potentials; whereas the weak-$\rho$ model is about 50\% above the data. This and additional considerations in triplet $P$-waves re-confirm that NN scattering requires the strong $\rho$, consistent with the $\pi\pi-N\bar{N}$ partial-wave analysis by H\"ohler and Pietarinen.
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"abstract": "In his recent publication of a NN phase shift analysis below 160 MeV, Henneck\nreports relatively large values for the mixing parameter $\\epsilon_1$. Based on\nthese results, Henneck suggests that the strength of the $\\rho$-meson tensor\ncoupling to the nucleon may be weaker than used in present day NN interactions,\nlike the Paris or Bonn potentials. We point out that at low energies ( \u003c 100\nMeV ) there is very little sensitivity to the strength of the $\\rho$ coupling,\ndue to the compensating effect of the second order tensor term. In order to\nestablish sensitivity, one has to go to energies \u003e 200 MeV, where the second\norder contribution has gone out. As it happens, the $\\epsilon_1$ mixing\nparameter is well determined in the region of energies 200--300 MeV, and there\nis agreement with the predictions by the Paris and Bonn potentials; whereas the\nweak-$\\rho$ model is about 50\\% above the data. This and additional\nconsiderations in triplet $P$-waves re-confirm that NN scattering requires the\nstrong $\\rho$, consistent with the $\\pi\\pi-N\\bar{N}$ partial-wave analysis by\nH\\\"ohler and Pietarinen.",
"arxiv_id": "nucl-th/9312001",
"authors": [
"G. E. Brown",
"R. Machleidt"
],
"categories": [
"nucl-th"
],
"title": "Comment on \"Phase-Shift Analysis of NN Scattering Below 160 Mev: Indication of a Strong Tensor Force\"",
"url": "https://arxiv.org/abs/nucl-th/9312001"
},
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