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Central exclusive diffractive production of axial-vector <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>f</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>1285</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>f</mml:mi></mml:mrow><mml:…
We present a study of the central exclusive diffractive production of the ${f}_{1}(1285)$ and ${f}_{1}(1420)$ resonances in proton-proton collisions. The theoretical results are calculated within the tensor-pomeron approach. Two pomeron-pomeron-${f}_{1}$ tensorial couplings labeled by $(l,S)=(2,2)$ and (4,4) are derived. We adjust the model parameters (coupling constants, cutoff constant) to the …