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An unstable gravitino with lifetime longer than $10^{26}$ sec or so has been proposed as a possible dark matter candidate in supergravity models with R-parity breaking.
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For extensive studies of bilinear R-parity breaking models, see F. de Campos, O. J. P. Eboli, M. B. Magro, W. Porod, D. Restrepo, M. Hirsch and J. W. F. Valle, JHEP 0805
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