Abstract. Beta-decay half-lives (T1/~) and delayed-neutron emission probabilities (P~) of very neutron-rich Cu to As nuclei have been measured, among them the new isotopes r Cu4s, 79Cuso, mZnsl and S4Ga~a. With the T1/2 and P~-vaIues of now four N ~-50 "waiting-point" nuclei known, our hypothesis that the r-process has attained a local [3-flow equilibrium araound A ~_ 80 is further strengthened.The nucleosynthesis process by rapid neutron captures (the r-process) involves the progressive build-up of heavy elements via neutron captures on neutron-rich nuclei, interspersed by ~-decays. Its abundance features (see, e.g., Ref.[1]) clearly reflect nuclear properties -the maxima are related to the magic neutron numbers N = 50, 82 and 126. This probes our knowledge of nuclear structure of isotopes very far from the valley of fl-stability, even through the postion of the neutron drip line. For the vast majority of nuclei in or close to the r-process path, no experimental information is available; hence, nuclear properties have to be deduced from theoretical models. However, since even the most recent QRPA-predictions [2,3] differ up to an order of magnitude far off stability, it remains of utmost importance to continue experimental efforts to measure the T1/2 and Pn-values of at least the key-isotopes in the r-process path. And in fact, only within the last few years has it been possible to determine these gross decay properties of a few nuclei in the bends at N = 50 and 82 where the r-process path comes closest to/3-stability [4][5][6][7].Based on these data, together with QRPA shell-model predictions for unknown N -50 and 82 r-process isotopes, strong evidence has been obtained that the solar r-abundances (Nr,| result from a ~-fiow equilibrium [6,7]. Within this "waitingpoint" concept, it was possible to define stellar conditions which an r-process has to fulfill in order to reproduce the "correct" process path around the magic neutron numbers, as well as the observed A _~ 80 and 130 Nr,| An additional test was performed for the unknown N = 50 and 82 "waitingpoint" nuclei. From the Nr, | of stable isobars and known (or predicted) Pn-values, progenitor abundances (N~,p) in the rprocess path were calculated; and with this also the T1/2 of these isotopes were "predicted". Although these astrophysical * Dedicated to P. Armbruster on the occasion of his 60th birthday T1/2 requirements were found to agree closely with the nuclearphysics values (see the T1D(QRPA ) in Tab. 1 of Ref. [7]), a final decision whether our steady-flow picture holds can only be made from further experiments on "waiting-point" nuclei.Recently, as a result of extensive target/ion-source tests at the CEI~N-ISOLDE on-line mass separator, considerable progress could be achieved in the production of intense beams of neutron-rich isotopes of 29Cu to a3As. In these experiments, a 2ssUC-graphite target was irradiated with 600 MeV protons at a current of 2.2 #A from the synchro-cyclotron. The target was heated to about 2.400~ and connected to a plasmadischarge...