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Central production of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>ρ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math> in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi><mml:mi>p</mml:mi></mml:math> collisions with single proton diffractive dissociation at the LHC
We consider the $pp\ensuremath{\rightarrow}pp{\ensuremath{\rho}}^{0}{\ensuremath{\pi}}^{0}$ and $pp\ensuremath{\rightarrow}pn{\ensuremath{\rho}}^{0}{\ensuremath{\pi}}^{+}$ processes at LHC energies. Our description is based on the nonperturbative framework of tensor pomeron and tensor reggeon exchanges. We discuss the Drell-Hiida-Deck type mechanism with centrally produced ${\ensuremath{\rho}}^{0}$ meson associated with a very forward/backward $\ensuremath{\pi}N$ system. The considered processes constitute an inelastic (nonexclusive) …