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The newly observed $X(2100)$ by the BESIII Collaboration inspires ourinterest in studying the light meson system, especially axial-vector mesons.Since the $X(2100)$ has $J^P=1^+$ possibilities but cannot be distinguishedonly by mass, we make use of flux-tube model to study the strong decay behaviorof $X(2100)$ under this assignment. The experimental width of the newlyreported $X(2100)$ can be reproduced in our calculation, which favors anassignment of $X(2100)$ as the second radial excitation of $h_1(1380)$ with$I(J^P)=0(1^+)$. And the $\mathcal{B}(X(2100)\to \phi \eta^\prime)$ has asizable contribution to the total width. Furthermore, we focus on theproduction of $X(2100)$ and its flavour partner $h_1(1965)$ induced by pion andkaon on a proton target with the Feynman model and the Regge model, which is anavailable platform to further identify their nature. The numerical resultsindicate that the total cross section are similar in the two models. When therange of momentum ${\mathrm{p_{Lab}}}$ is 10 to 30 GeV/$c$, the total crosssections for $\pi^-p\to X(2100)n$ and $K^-p\to X(2100)\Lambda$ are predicted tobe at an order of magnitude of 0.1 $\mu$b. Whereas, the total cross section for$\pi^-p\to h_1(1965)n$ is near an order of magnitude of 10 $\mu$b when$p_{\mathrm{Lab}}$ is from 10 to 30 GeV/$c$, and much larger than that ofreaction $K^-p\to h_1(1965)\Lambda$. These predictions can provide somevaluable information to search for $X(2100)$ and $h_1(1965)$ in experiments atJ-PARC, COMPASS, OKA@U-70 and SPS@CERN.

Studying $X(2100)$ hadronic decays and predicting its pion and kaon induced productions