4.4 “End of Inflation” Mechanism 74 while for all other n and α values, the above inequality is reversed, giving Table 4.1: Values for which Eq. (4.113) applies. In order that φ interacts with the thermal bath and therefore that we actually have the g $^{2}$T $^{2}$φ2 term in our potential, Eq. (4.2), we require where Γ$_{therm}$ is the thermalization rate of φ , which is given by where n ∼ T 3 is the number density of particles in the thermal bath, σ is the scattering cross-section for the interaction of φ and the particles in the n α 1 3 – ∞ 2 All 3 1 – 8 4 1 – 5 5 1 – 4 6 – 13 1 – 3 14 – ∞ 1 , 2 m$_{0}$ ≪    (10 $^{$^{4}$H}$∗ M$_{P}$ ) (4 α − 4)( n +1) h 4 n +4 ( √$_{λ M}$$_{P}$ ) 6 α − $^{3}$( M 2 P Γ$_{ϕ}$) (2 α − 1)( n $_{+1)}$   1 2 αn$_{−}$ 4 α$_{−}$ 5 n$_{−}$ 2 (4.114) 4.4.3.7 Thermalization of φ Γ$_{therm}$ > H (4.115) Γ$_{therm}$ = n 〈 σv 〉 (4.116) ∼ σ T 3 (4.117)