We report results from a search for strangelets (small chunks of Strange Quark Matter) in lunar soil using the Yale WNSL accelerator as a mass spectrometer. We have searched over a range in mass from A=42 to A=70 amu for nuclear charges 5, 6, 8, 9, and 11. No strangelets were found in the experiment. For strangelets with nuclear charge 8, a concentration in lunar soil higher than 10 −16 is excluded at the 95% confidence level. The implied limit on the strangelet flux in cosmic rays is the most sensitive to date for the covered range and is relevant to both recent theoretical flux predictions and a strangelet candidate event found by the AMS-01 experiment.PACS numbers: 21.65. Qr, Strange Quark Matter (SQM) is a proposed state of hadronic matter made up of roughly one-third each of up, down, and strange quarks in a single hadronic bag that can be as small as an atomic nucleus or as large as a star. It has been over 30 years since the first suggestion that the true ground state of cold hadronic matter might be SQM rather than nuclear matter [1,2]. If true, the implications would be tremendous for both basic research and applied science [3]. With this motivation, many searches for stable SQM have been undertaken using a variety of methods. These searches have collectively observed a handful of interesting events but have neither been able to find compelling evidence for stable SQM nor to rule out its existence.The idea that Quark Matter made of only up and down quarks is stable can be dismissed immediately by the observation that normal nuclear matter does not decay into it. However, in the case of SQM such a decay would require many simultaneous weak interactions, making it prohibitively unlikely. The stability of SQM cannot yet be determined from first principles within QCD, but has been addressed in various phenomenological models. The most commonly used of these is the MIT Bag Model [4,5], which also has been extended to include the effects of color flavor locking (CFL) [6,7]. The results of such calculations are inconclusive, but for a significant part of the reasonable parameter space in these models, SQM is in fact absolutely stable for baryon number greater than some minimum value, A min [5,8]. A min is typically found to be larger than 50 and smaller than 1000 although shell effects which are important for A 100 may cause islands of stability at A values smaller than A min . The key point is that SQM stability is a question * Current address: Department of Physics, University of California, Santa Barbara, CA 93106, USA that must be settled experimentally or observationally.If SQM is stable at zero pressure, all compact stars which are commonly thought of as neutron stars may in fact be "strange stars", i.e. composed of SQM [9]. A strange star which is a member of a binary system will eventually suffer a collision with its partner, possibly resulting in the ejection of some fraction of its mass in the form of strangelets. This should ultimately lead to a flux of strangelets in cosmic rays [10,11]. The result...