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Inclusive hadroproduction of $χ_{c1}(3872)$, $X_b$ and pentaquarks

Nora Brambilla, Mathias Butenschoen, Simon Hibler, Abhishek Mohapatra, Antonio Vairo, Xiangpeng Wang

Abstract

We use the Born--Oppenheimer effective field theory factorization to compute the inclusive production cross sections of the $χ_{c1}(3872)$ and its partner in the bottomonium sector. In the same framework, we compute the production cross sections of the pentaquark states $P_{c\bar{c}}(4312)^+$, $P_{c\bar{c}}(4457)^+$, $P_{c\bar{c}}(4380)^+$ and $P_{c\bar{c}}(4440)^+$ 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.

Inclusive hadroproduction of $χ_{c1}(3872)$, $X_b$ and pentaquarks

Abstract

We use the Born--Oppenheimer effective field theory factorization to compute the inclusive production cross sections of the and its partner in the bottomonium sector. In the same framework, we compute the production cross sections of the pentaquark states , , and 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.
Paper Structure (11 sections, 76 equations, 5 figures)

This paper contains 11 sections, 76 equations, 5 figures.

Table of Contents

  1. Introduction
  2. Inclusive production of $P$-wave quarkonium
  3. Inclusive production of $\chi_{c1}(3872)$ and $X_b$
  4. Production of $\chi_{c1}(3872)$ from $B$-decay
  5. Hadroproduction of $\chi_{c1}(3872)$
  6. Hadroproduction of $X_b$
  7. Inclusive production of pentaquarks
  8. Hadroproduction of charmonium pentaquarks in scenario I
  9. Hadroproduction of charmonium pentaquarks in scenario II
  10. Hadroproduction of bottomonium pentaquarks
  11. Conclusions

Figures (5)

  • Figure 1: Theoretical predictions for the prompt inclusive hadroproduction differential cross section of the $\chi_{c1}(3872)$ state compared with CMS data CMS:2013fpt (upper-left panel), ATLAS data ATLAS:2016kwu (upper-right panel) and LHCb data LHCb:2021ten (lower panel). The central values of the CMS and ATLAS data are taken from hepdata.60421 and hepdata.76839, respectively; the central values of the LHCb data have been computed following Lafferty:1994cj. The region above the upper bound \ref{['eq:OX3872upper']} has been excluded from the bands in the plots, effectively reducing the uncertainties of the NRQCD predictions.
  • Figure 2: Prediction for the prompt inclusive hadroproduction differential cross section of the $X_b$ using the CMS kinematics from the $\chi_{c1}(3872)$ production and the value $m_b = 4.74\, \mathrm{GeV}$ for the bottom mass. The region above the upper bound following from \ref{['eq:OX3872upper']} has been excluded from the band in the plot.
  • Figure 3: Predicted prompt inclusive differential hadroproduction cross sections of the charmonium pentaquark states $P_{c\bar{c}}(4312)^+$, $P_{c\bar{c}}(4457)^+$, $P_{c\bar{c}}(4380)^+$ and $P_{c\bar{c}}(4440)^+$ within scenario I.
  • Figure 4: Predicted prompt inclusive differential hadroproduction cross sections of the charmonium pentaquark states $P_{c\bar{c}}(4312)^+$, $P_{c\bar{c}}(4457)^+$, $P_{c\bar{c}}(4380)^+$ and $P_{c\bar{c}}(4440)^+$ within scenario II.
  • Figure 5: Predicted prompt inclusive differential hadroproduction cross sections of the bottomonium analogues of the charmonium pentaquark states $P_{c\bar{c}}(4312)^+$, $P_{c\bar{c}}(4457)^+$, $P_{c\bar{c}}(4380)^+$ and $P_{c\bar{c}}(4440)^+$ in the scenarios I and II.