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Definitely, an affirmative answer to this question would have implications offundamental importance for astrophysics (a new class of compact stars), and forthe physics of strong interactions (deconfined phase of quark matter, andstrange matter hypothesis). In the present work, we use observational data forthe newly discovered millisecond X-ray pulsar SAX J1808.4-3658 and for theatoll source 4U 1728-34 to constrain the radius of the underlying compactstars. Comparing the mass-radius relation of these two compact stars withtheoretical models for both neutron stars and strange stars, we argue that astrange star model is more consistent with SAX J1808.4-3658 and 4U 1728-34, andsuggest that they are likely strange star candidates.Comment: In memory of Bhaskar Datta. -- Invited talk at the Pacific Rim  Conference on Stellar Astrophysics (Hong Kong, aug. 1999

Do Strange Stars Exist in the Universe?