Constraining tachyonic inflationary β-exponential model with Continuous Spontaneous Localization collapse scheme

Abstract: In this work, we consider the dynamics of the self-induced collapse of the tachyon wave function in inflationary scenarios. We analyze the modifications on the power spectrum by considering the \beta-exponential potential, whose parameters have updated constraints by the Planck 2018 baseline data. Moreover, we show that for this kind of potential, just for a narrow range of \beta-parameter, there is agreement between the theoretical predictions and the current observational data. Considering the proposal for a collapse scheme that leads to the modification of Schr\"odinger evolution of the inflaton wave function from the employment of a Continuous Spontaneous Localization (CSL) approach, we derive the scalar spectral index and tensor-to-scalar ratio. We then obtained the constraints on both collapse and \beta-parameters that, in turn, yield deviations in the n_{s} vs. r plane when compared to the \beta-exponential potential standard estimate. The CSL scheme applied to tachyonic inflation driven by a \beta-potential offers an adequate description of the recent data.