  We have searched for axion-like resonance states by colliding optical photons
in a focused laser field (creation beam) by adding another laser field
(inducing beam) for stimulation of the resonance decays, where
frequency-converted signal photons can be created as a result of stimulated
photon-photon scattering via exchanges of axion-like resonances. A
quasi-parallel collision system (QPS) in such a focused field allows access to
the sub-eV mass range of resonance particles. In past searches in QPS, for
simplicity, we interpreted the scattering rate based on an analytically
calculable symmetric collision geometry in both incident angles and incident
energies by partially implementing the asymmetric nature to meet the actual
experimental conditions. In this paper, we present new search results based on
a complete parameterization including fully asymmetric collisional geometries.
In particular, we combined a linearly polarized creation laser and a circularly
polarized inducing laser to match the new parameterization. A 0.10 mJ / 31 fs
Ti:sapphire laser pulse and a 0.20 mJ / 9 ns Nd:YAG laser pulse were
spatiotemporally synchronized by sharing a common optical axis and focused into
the vacuum system. Under a condition in which atomic background processes were
completely negligible, no significant scattering signal was observed at the
vacuum pressure of $2.6 \times 10^{-5}$ Pa, thereby providing upper bounds on
the coupling-mass relation by assuming exchanges of scalar and pseudoscalar
fields at a 95 % confidence level in the sub-eV mass range.
