6533b82cfe1ef96bd128e97b

RESEARCH PRODUCT

η−3Nproblem with separable interactions

A. FixHartmuth Arenhövel

subject

Many-body problemPhysicsScattering amplitudeNuclear and High Energy PhysicsCross section (physics)Meson productionQuantum mechanicsScattering lengthLimitingFew-body systemsMathematical physicsSeparable space

description

The $\eta$-3N-interaction is studied within the four-body Faddeev-Yakubovsky theory adopting purely separable forms for the two- and three-body subamplitudes, limiting the basic two-body interactions to s-waves only. The corresponding separable approximation for the integral kernels is obtained by using the Hilbert-Schmidt procedure. Results are presented for the $\eta$-$^3$H scattering amplitude and for the total elastic cross section for energies below the triton break-up threshold.

https://doi.org/10.1103/physrevc.66.024002