One-neutron transfer study of 135Te and 137Xe by particle-γ coincidence spectroscopy: The ν1i13/2 state at N = 83

Additional information is reported on single-neutron states above the doubly closed-shell nucleus Sn-132. A radioactive ion beam of Te-134(N = 82) at 565 MeV and a stable ion beam of Xe-136(N = 82) at 560 MeV were used to study single-neutron states in the N = 83 nuclei Te-135 and Xe-137, respectively, by (C-13, C-12 gamma) and (Be-9, Be-8 gamma) direct reactions in inverse kinematics. Particle-gamma and particle-gamma-gamma coincidence measurements using CsI and HPGe arrays allowed determination of decay paths, high-precision level energies, multipolarities of transitions, and relative cross sections. One-neutron transfer with heavy ions is employed to gain selectivity to both low- and high-spin single-neutron states above the N = 82 shell closure. Results are presented for the 13/2(1)(+) states in the N = 83 nuclei Te-135 and Xe-137 at 2108.8(9) keV and 1752.6(3) keV, respectively, and for the 3(1)(-) collective octupole state observed at 3749(5) keV in Te-134(N = 82) inelastic scattering, all previously unknown. While the 13/2(1)(+) state (or nu 1i(13/2) centroid) in Sn-133(Z = 50, N = 83) remains unknown, the present results provide the best empirical prediction of its energy available to date.