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I-balls/oscillons are long-lived spatially localized lumps of a scalar fieldwhich may be formed after inflation. In the scalar field theory with monomialpotential nearly and shallower than quadratic, which is motivated by chaoticinflationary models and supersymmetric theories, the scalar field configurationof I-balls is approximately Gaussian. If the I-ball interacts with anotherscalar field, the I-ball eventually decays into radiation. Recently, it waspointed out that the decay rate of I-balls increases exponentially by theeffects of Bose enhancement under some conditions and a non-perturbative methodto compute the exponential growth rate has been derived. In this paper, weapply the method to the Gaussian-type I-ball in 3+1 dimensions assumingspherical symmetry, and calculate the partial decay rates into partial waves,labelled by the angular momentum of daughter particles. We reveal theconditions that the I-ball decays exponentially, which are found to depend onthe mass and angular momentum of daughter particles and also be affected by thequantum uncertainty in the momentum of daughter particles.

Decay rates of Gaussian-type I-balls and Bose-enhancement effects in 3+1 dimensions