Abstract
We propose to introduce non-minimal couplings of Affleck–Dine (AD) field to gravity by adding the coupling of AD field to the Ricci scalar curvature. As the Jordan frame supergravity always predict |Phi |^2 {{mathcal {R}}}/6 type coupling for scalars with canonical kinetic terms, we propose a way to realize the required c_0|Phi |^2 {{mathcal {R}}}-type couplings with generic c_0 for canonical complex scalar fields after SUSY breaking. The impacts of such non-minimal gravitational couplings for AD field is shown, especially on the Q-balls formation and the associated gravitational wave (GW) productions. New form of scalar potential for AD field in the Einstein frame is obtained. By numerical simulations, we find that, with non-minimal gravitational coupling to AD field, Q-balls can successfully form even with the choice of non-negative K parameter for xi >0. The associated GW productions as well as their dependences on the xi parameter are also discussed.
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