Inclusive hadroproduction of χc1(3872), Xb and pentaquarks

A bstract We use the Born-Oppenheimer effective field theory factorization to compute the inclusive production cross sections of the χ c 1 (3872) and its partner in the bottomonium sector. In the same framework, we compute the production cross sections of the pentaquark states $$ {P}_{c\overline{c}}{(4312)}^{+} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>P</mml:mi> <mml:mrow> <mml:mi>c</mml:mi> <mml:mover> <mml:mi>c</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:mrow> </mml:msub> <mml:msup> <mml:mfenced> <mml:mn>4312</mml:mn> </mml:mfenced> <mml:mo>+</mml:mo> </mml:msup> </mml:math> , $$ {P}_{c\overline{c}}{(4457)}^{+} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>P</mml:mi> <mml:mrow> <mml:mi>c</mml:mi> <mml:mover> <mml:mi>c</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:mrow> </mml:msub> <mml:msup> <mml:mfenced> <mml:mn>4457</mml:mn> </mml:mfenced> <mml:mo>+</mml:mo> </mml:msup> </mml:math> , $$ {P}_{c\overline{c}}{(4380)}^{+} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>P</mml:mi> <mml:mrow> <mml:mi>c</mml:mi> <mml:mover> <mml:mi>c</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:mrow> </mml:msub> <mml:msup> <mml:mfenced> <mml:mn>4380</mml:mn> </mml:mfenced> <mml:mo>+</mml:mo> </mml:msup> </mml:math> and $$ {P}_{c\overline{c}}{(4440)}^{+} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>P</mml:mi> <mml:mrow> <mml:mi>c</mml:mi> <mml:mover> <mml:mi>c</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:mrow> </mml:msub> <mml:msup> <mml:mfenced> <mml:mn>4440</mml:mn> </mml:mfenced> <mml:mo>+</mml:mo> </mml:msup> </mml:math> within two possible scenarios for the Born-Oppenheimer potentials. Also for pentaquarks, we extend the results to the bottomonium sector. All our results are genuine predictions that do not involve fits to prompt hadroproduction data.