Search for excited states in H-3 and He-3

Abstract

The d+N systems are studied in a three-body model, using phenomenological N-N interactions. The scattering matrices are calculated by using the Kohn-Hulthen variational method. Then, they are analytically continued to complex energies and their singularities are localized. We find a virtual state at E=-1.66 MeV in H-3 and a pair of states at E=(-0.42+-i0.52) MeV in He-3 relative to the d+N thresholds, respectively. In addition, we discuss some general aspects and problems of virtual states which may be useful also in the study of other systems, like Li-10.

4 pages with 1 figure. The postscript file and more information are available at http://hercules.elte.hu/~csoto

References in corpus (2)

• Benchmark Calculations for the Triton Binding Energy for Modern NN Forces and the pi-pi Exchange Three-Nucleon Force
• The Three-Nucleon System Near the N-d Threshold

Cited by in corpus (3)

• Effect of Coulomb Forces on the Position of the Pole in the Scattering Amplitude and on Its Residue
• Resonance-state properties from a phase shift analysis with the $S$-matrix pole method and the effective-range method
• First measurement of the 2.4 and 2.9 MeV ${}^6$He three-cluster resonant states via the ${}^3$H(${}^4$He,p$\alpha$)2n four-body reaction