dorsal/arxiv
View SchemaSoft-core meson-baryon interactions. II. $\pi N$ and $K^+ N$ scattering
| Authors | H. Polinder, Th. A. Rijken |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0505083 |
| URL | https://arxiv.org/abs/nucl-th/0505083 |
| DOI | 10.1103/PhysRevC.72.065211 |
| Journal | Phys.Rev. C72 (2005) 065211 |
Abstract
The $\pi N$ potential includes the t-channel exchanges of the scalar-mesons $\sigma$ and f_0, vector-meson $\rho$, tensor-mesons f_2 and f_2' and the Pomeron as well as the s- and u-channel exchanges of the nucleon N and the resonances $\Delta$, Roper and S_{11}. These resonances are not generated dynamically. We consider them as, at least partially, genuine three-quark states and we treat them in the same way as the nucleon. The latter two resonances were needed to find the proper behavior of the phase shifts at higher energies in the corresponding partial waves. The soft-core $\pi N$-model gives an excellent fit to the empirical $\pi N$ S- and P-wave phase shifts up to T_{lab}=600 MeV. Also the scattering lengths have been reproduced well and the soft-pion theorems for low-energy $\pi N$ scattering are satisfied. The soft-core model for the $K^+ N$ interaction is an SU_f(3)-extension of the soft-core $\pi N$-model. The $K^+ N$ potential includes the t-channel exchanges of the scalar-mesons a_0, $\sigma$ and f_0, vector-mesons $\rho$, $\omega$ and $\phi$, tensor-mesons a_2, f_2 and f_2' and the Pomeron as well as u-channel exchanges of the hyperons $\Lambda$ and $\Sigma$. The fit to the empirical $K^+ N$ S-, P- and D-wave phase shifts up to T_{lab}=600 MeV is reasonable and certainly reflects the present state of the art. Since the various $K^+ N$ phase shift analyses are not very consistent, also scattering observables are compared with the soft-core $K^+ N$-model. A good agreement for the total and differential cross sections as well as the polarizations is found.
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"abstract": "The $\\pi N$ potential includes the t-channel exchanges of the scalar-mesons\n$\\sigma$ and f_0, vector-meson $\\rho$, tensor-mesons f_2 and f_2\u0027 and the\nPomeron as well as the s- and u-channel exchanges of the nucleon N and the\nresonances $\\Delta$, Roper and S_{11}. These resonances are not generated\ndynamically. We consider them as, at least partially, genuine three-quark\nstates and we treat them in the same way as the nucleon. The latter two\nresonances were needed to find the proper behavior of the phase shifts at\nhigher energies in the corresponding partial waves. The soft-core $\\pi N$-model\ngives an excellent fit to the empirical $\\pi N$ S- and P-wave phase shifts up\nto T_{lab}=600 MeV. Also the scattering lengths have been reproduced well and\nthe soft-pion theorems for low-energy $\\pi N$ scattering are satisfied. The\nsoft-core model for the $K^+ N$ interaction is an SU_f(3)-extension of the\nsoft-core $\\pi N$-model. The $K^+ N$ potential includes the t-channel exchanges\nof the scalar-mesons a_0, $\\sigma$ and f_0, vector-mesons $\\rho$, $\\omega$ and\n$\\phi$, tensor-mesons a_2, f_2 and f_2\u0027 and the Pomeron as well as u-channel\nexchanges of the hyperons $\\Lambda$ and $\\Sigma$. The fit to the empirical $K^+\nN$ S-, P- and D-wave phase shifts up to T_{lab}=600 MeV is reasonable and\ncertainly reflects the present state of the art. Since the various $K^+ N$\nphase shift analyses are not very consistent, also scattering observables are\ncompared with the soft-core $K^+ N$-model. A good agreement for the total and\ndifferential cross sections as well as the polarizations is found.",
"arxiv_id": "nucl-th/0505083",
"authors": [
"H. Polinder",
"Th. A. Rijken"
],
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"doi": "10.1103/PhysRevC.72.065211",
"journal_ref": "Phys.Rev. C72 (2005) 065211",
"title": "Soft-core meson-baryon interactions. II. $\\pi N$ and $K^+ N$ scattering",
"url": "https://arxiv.org/abs/nucl-th/0505083"
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