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We consider the possibility of a successful Affleck-Dine mechanism along theu^c d^c d^c direction in R-parity symmetric extensions of the minimalsupersymmetric Standard Model (MSSM) which contain a gauge singlet superfieldphi. Such gauge singlets commonly occur in extensions of the MSSM, for examplein models which seek to account for neutrino masses. We consider a two scalarAffleck-Dine mechanism, with the flat direction stabilized by anon-renormalizible superpotential term of the form (lambda/M) phi udd ~(lambda/M) phi psi^3, where psi corresponds to the gauge non-singlet flatdirection. We give approximate solutions of the scalar field equations ofmotion which describe the evolution of the condensates and show that the finalbaryon asymmetry in this case is suppressed relative to that expected from theconventional single scalar Affleck-Dine mechanism, based on a superpotentialterm of the form (lambda/(4M)) psi^4, by a factor(m_{s}/(m_{phi}+m_{s}))^(1/2), where m_{s} is the soft supersymmetry breakingscalar mass and m_{phi} is the supersymmetric phi mass. It is possible for themodel to generate a baryon asymmetry even in the limit of unbroken B-L, so longas the gauge singlet condensate doesn't decay until after anomalous electroweakB+L violation is out of equilibrium following the electroweak phase transition.This condition is generally satisfied if all Dirac neutrino masses are lessthan around 10keV. This class of Affleck-Dine models can, in principle,beexperimentally ruled out, for example by the observation of a Dirac mass forthe mu or tau neutrino significantly larger than around 10keV together with amostly Higgsino LSP.Comment: 34 pages, no figures. Final published versio

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

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>u</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>-based Affleck-Dine baryogenesis

ucdcdc-based Affleck-Dine baryogenesis