Interaction of $η$ mesons with a three-nucleon system

Details Interaction of $η$ mesons with a three-nucleon system Interaction of $η$ mesons with a three-nucleon system

2002-06-18

arxiv.org/abs/nucl-th/0206038v1

Physics

Nuclear Physics

Nuclear Theory

4 pages including 2 eps-figures, Contribution to MESON 2002, 7th Int. Workshop on Production, Properties and Interaction of Me

Scientific paper

A study of the $\eta$-3N interaction in the energy region near the $\eta$-^3H elastic scattering threshold is presented. The calculational scheme is based on the four-body scattering formalism. A manageable form of the integral equations is achieved by using a separable ansatz for the driving two-body $\eta N$- and NN-forces as well as for the subamplitudes appearing in the (1+3) and (2+2) partitions of the $\eta$-3N system. Results presented for the $\eta$-^3H scattering length point to the existence of a virtual (antibound) s-wave $\eta$-^3H state. As a consequence, a large enhancement of the cross section for $\eta$-production from three-body nuclei is predicted.

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