Erratum: Axions and the strong CP problem (Reviews of Modern Physics (2010) 82 (557) DOI: 10.1103/RevModPhys.82.557)

Abstract

With a small θ in Eq. (38) in Kim and Carosi (2010), we presented the CP violating coupling in the πNN vertex in Eq. (8). But a factor, arising from the matrix element between nucleon states, was missed in Eq. (8). Equation (8) should read. (Formula Presented). In view of two possibilities of inserting the CP violating vertex in Fig. 4(b), we note that a factor gπNN is missed in Eq. (8) of Kim and Carosi (2010). Using the 2018 bound on the upper limit on the neutron electric dipole moment, then we have the following bound on θ (Formula Presented). Note further that, unlike in Crewther et al. (1979), this estimation on the bound on |θ| is applicable even in the case without the s quark.