Variational calculations for K-few-nucleon systems
Abstract
Deeply bound KNN, KNNN and KNNNN states are discussed. The effective force exerted by the K meson on the nucleons is calculated with static nucleons. Next the binding energies are obtained by solving the Schrodinger equation or by variational calculations. The dominant attraction comes from the S-wave Lambda(1405) and an additional contribution is due to Sigma(1385). The latter state is formed at the nuclear peripheries and absorbs a sizable piece of the binding energy. It also generates new branches of quasi-bound states. The lowest binding energies based on a phenomenological KN input fall into the 40-80 MeV range for KNN, 90-150 MeV for KNNN and 120-220 MeV for K-alpha systems. The uncertainties are due to unknown KN interactions in the distant subthreshold energy region.
Cite
@article{arxiv.0808.3329,
title = {Variational calculations for K-few-nucleon systems},
author = {S. Wycech and A. M. Green},
journal= {arXiv preprint arXiv:0808.3329},
year = {2009}
}
Comments
19 pages, 1 figure