Massive particle pair production and oscillation in Friedman Universe: its effect on inflation

She-Sheng Xue

doi:10.1140/epjc/s10052-023-11195-6

2022 Impact factor 4.4

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 36
https://doi.org/10.1140/epjc/s10052-023-11195-6

Regular Article - Theoretical Physics

Massive particle pair production and oscillation in Friedman Universe: its effect on inflation

She-Sheng Xue¹^,2^,3^a

¹ ICRANet Piazzale della Repubblica, 10, 65122, Pescara, Italy
² Physics Department, University of Rome La Sapienza, P.le Aldo Moro 5, 00185, Rome, Italy
³ INFN, Sezione di Perugia, Via A. Pascoli, 06123, Perugia, Italy

^a xue@icra.it, shesheng.xue@gmail.com

Received: 18 May 2022
Accepted: 4 January 2023
Published online: 18 January 2023

Abstract

We study the classical Friedman equations for the time-varying cosmological term and Hubble function H, together with quantised field equations for the production of massive particles, namely, the CDM scenario of dark energy and matter interactions. Classical slow components are separated from quantum fast components . The former obeys the Friedman equations, and the latter obeys a set of nonlinear differential equations. Numerically solving equations for quantum fast components, we find the production and oscillation of massive particle-antiparticle pairs in microscopic time scale . Their density and pressure averages over microscopic time do not vanish. It implies the formation of a massive pair plasma state in macroscopic time scale , whose effective density and pressure contribute to the Friedman equations. Considering the inflation driven by the time-varying cosmological term and slowed down by the massive pair plasma state, we obtain the relation of spectral index and tensor-to-scalar ratio in agreement with recent observations. We discuss the singularity-free pre-inflation, the CMB large-scale anomaly, and dark-matter density perturbations imprinting on power spectra.

© The Author(s) 2023

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