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Following searches for photinos and very light gravitinos in invisible decaysof psi and Upsilon, we discuss new limits on Light Dark Matter and U bosons,from psi and Upsilon decays, as well as rare decays of K+ and invisible decaysof pi0, eta and eta' ... . The new limits involving the vector couplings of theU to quarks turn out, not surprisingly, to be much less restrictive thanexisting ones on axial couplings, from an axionlike behavior of a light Uboson, tested in psi --> gamma U, Upsilon --> gamma U and K+ --> pi+ U decays(or as compared to the limit from parity-violation in atomic physics, in thepresence of an axial coupling to the electron). Altogether the hypothesis oflight U bosons, and light dark matter particles, remains compatible withparticle physics constraints, while allowing for the appropriate annihilationcross sections required, both at freeze-out (for the relic abundance) andnowadays (if e+ from LDM annihilations are at the origin of the 511 keV linefrom the galactic bulge).Comment: 8 page

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Constraints on light dark matter and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>U</mml:mi></mml:math>bosons, from<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ψ</mml:mi></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Υ</mml:mi></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>K</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:…

Constraints on light dark matter andUbosons, fromψ,Υ,K+