Studies of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>X</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3872</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ψ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mi>S</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> production in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi><mml:mover accent="true"><mml:mi>p</mml:mi><mml:mo stretchy="false">¯</mml:mo></mml:mover></mml:math> collisions at 1.96 TeV

Summary

We present various properties of the production of the $X(3872)$ and $\ensuremath{\psi}(2S)$ states based on $10.4\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ collected by the D0 experiment in Tevatron $p\overline{p}$ collisions at $\sqrt{s}=1.96\text{ }\text{ }\mathrm{TeV}$. For both states, we measure the nonprompt fraction ${f}_{NP}$ of the inclusive production rate due to decays of $b$-flavored hadrons. We find the ${f}_{NP}$ values systematically below those obtained at the LHC. The ${f}_{NP}$ fraction for $\ensuremath{\psi}(2S)$ increases with transverse momentum, whereas for the $X(3872)$ it is constant within large uncertainties, in agreement with the LHC results. The ratio of prompt to nonprompt $\ensuremath{\psi}(2S)$ production, $(1\ensuremath{-}{f}_{NP})/{f}_{NP}$, decrease