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• W1970449920 endingPage "40" @default.
• W1970449920 startingPage "21" @default.
• W1970449920 abstract "A new Nijmegen soft-core OBE potential model is presented for the low-energy $mathrm{YN}$ interactions. Besides the results for the fit to the scattering data, which largely defines the model, we also present some applications to hypernuclear systems using the G-matrix method. The potentials are generated by the exchange of nonets of pseudoscalar, vector, and scalar mesons. As is standard in the Nijmegen soft-core models, we also include the $J=0$ contributions from the tensor ${f}_{2}{,f}_{2}^{ensuremath{'}}{,a}_{2},$ and pomeron Regge trajectories, and use Gaussian form factors to guarantee that the potentials have a soft behavior near the origin. An important innovation with respect to the original soft-core potential is the assignment of the cutoff masses for the baryon-baryon-meson (BBM) vertices in accordance with broken $mathrm{SU}{(3)}_{F},$ which serves to connect the $mathrm{NN}$ and the $mathrm{YN}$ channels. As a novel feature, we allow for medium strong breaking of the coupling constants, using the ${}^{3}{P}_{0}$ model with a Gell-Mann--Okubo hypercharge breaking for the BBM coupling. Charge-symmetry breaking in the $ensuremath{Lambda}p$ and $ensuremath{Lambda}n$ channels is included as well. We present six hyperon-nucleon potentials which describe the available $mathrm{YN}$ cross section data equally well, but which exhibit some differences on a more detailed level. The differences are constructed such that the models encompass a range of scattering lengths in the $ensuremath{Sigma}N$ and $ensuremath{Lambda}N$ channels. In all cases, we obtained ${ensuremath{chi}}^{2}{/N}_{mathrm{data}}ensuremath{approx}0.55$ for 35 $mathrm{YN}$ data. In particular, we were able to fit the precise experimental datum ${r}_{R}=0.468ifmmodepmelsetextpmfi{}0.010$ for the inelastic capture ratio at rest. For the scalar-meson mixing angle we obtained values ${ensuremath{theta}}_{S}=37ifmmode^circelsetextdegreefi{}--40ifmmode^circelsetextdegreefi{},$ which points to almost ideal mixing angles for the scalar $qoverline{q}$ states. The G-matrix results indicate that the remarkably different spin-spin terms of the six potentials appear specifically in the energy spectra of $ensuremath{Lambda}$ hypernuclei." @default.
• W1970449920 created "2016-06-24" @default.
• W1970449920 creator A5018180523 @default.
• W1970449920 creator A5056166081 @default.
• W1970449920 creator A5075703465 @default.
• W1970449920 date "1999-01-01" @default.
• W1970449920 modified "2023-10-01" @default.
• W1970449920 title "Soft-core hyperon-nucleon potentials" @default.
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