dorsal/arxiv
View SchemaKbarN interaction and Kaons in the nuclear medium
| Authors | A. Ramos, E. Oset |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9810014 |
| URL | https://arxiv.org/abs/nucl-th/9810014 |
Abstract
The s-wave meson-nucleon interaction in the S=-1 sector is studied by means of a coupled-channel Lippmann Schwinger equation, using the lowest order chiral Lagrangian and a cut off to regularize the loop integrals. The position and width of the Lambda(1405) resonance and the K^- p scattering cross sections at low energies are well reproduced. The inclusion of the eta Lambda, eta Sigma^0 channels in the coupled system is found very important and allows a solution in terms of only the lowest order Lagrangian. The model is applied to calculate the in-medium K^- self-energy to which we add a small p-wave piece resulting from the coupling to hyperon particle-nucleon hole excitations. The K^- feels an attraction of about -100 MeV at normal nuclear density. The Lambda(1405) resonance shifts to energies above the $K^-p$ threshold and ends up dissolving as density increases. It remains to be seen how these effects persist when the dressing of the Kbar and the pi mesons is incorporated self-consistently in the calculation.
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"date_created": "2026-03-02T18:00:22.423000Z",
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"abstract": "The s-wave meson-nucleon interaction in the S=-1 sector is studied by means\nof a coupled-channel Lippmann Schwinger equation, using the lowest order chiral\nLagrangian and a cut off to regularize the loop integrals. The position and\nwidth of the Lambda(1405) resonance and the K^- p scattering cross sections at\nlow energies are well reproduced. The inclusion of the eta Lambda, eta Sigma^0\nchannels in the coupled system is found very important and allows a solution in\nterms of only the lowest order Lagrangian. The model is applied to calculate\nthe in-medium K^- self-energy to which we add a small p-wave piece resulting\nfrom the coupling to hyperon particle-nucleon hole excitations. The K^- feels\nan attraction of about -100 MeV at normal nuclear density. The Lambda(1405)\nresonance shifts to energies above the $K^-p$ threshold and ends up dissolving\nas density increases. It remains to be seen how these effects persist when the\ndressing of the Kbar and the pi mesons is incorporated self-consistently in the\ncalculation.",
"arxiv_id": "nucl-th/9810014",
"authors": [
"A. Ramos",
"E. Oset"
],
"categories": [
"nucl-th"
],
"title": "KbarN interaction and Kaons in the nuclear medium",
"url": "https://arxiv.org/abs/nucl-th/9810014"
},
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