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Irrigation management / Farmer managed irrigation systems / Land development / Legal aspects / Legislation / Water users' associations / Japan
Comment: To appear in the proceedings of Chiral 07, Osaka, Japan, November 13-16, 2007. 4pages, 4figures
We investigate the interactions and chiral properties of the four spin-$\thalf$-baryons : $N^-(D_{13})$, $N^+(P_{13})$, $\Delta^+(P_{33})$ and $\Delta^-(D_{33})$ together with the nucleon. We construct the $SU(2)_R \times SU(2)_L$ invariant interactions between the spin-$\half$ and -$\thalf$ baryons with the aid of a new, specially developed spin and isospin projection technique for these baryon fields, where the chiral invariant interactions contain one- and two-pion couplings. We obtain simple relations for the coupling constants of the one- and two-pion spin $\half-\thalf$ transitions terms. The relation for the one-pion interactions reasonably agrees with the experiments, which suggests that these spin-$\thalf$ baryons are chiral partners.
Comment: Published in International Journal of Modern Physics E
Comment: No Figures. To appear in Classical and Quantum Gravity
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