Prompt production of the hidden charm pentaquarks in the LHC

2021/04/30 by Pan Ling, Xiao-Hu Dai, Xiaohu Dai +2
Physics and Astronomy · #Charm (quantum number) #Charm quark #Hadron #High-Energy Particle Collisions Research #Isospin #Large Hadron Collider #Nuclear physics #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Pentaquark #Physics #Production (economics) #Quantum Chromodynamics and Particle Interactions #Quark #Sigma #hep-ex #hep-ph

paper · pdf · doi:10.1140/epjc/s10052-021-09613-8

Accepted by EPJC

openalex publication_date 2021/09/01 · arxiv created 2021/09/26 · arxiv updated 2021/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

Abstract Motivated by the observation of the first hidden charm pentaquarks by the LHCb collaboration in 2015 and the updated analysis with an order-of-magnitude larger data set in 2019, we estimate their cross sections for the prompt production as well as their heavy quark spin partners, in the Σ _c^(*)D^(*) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msubsup> <mml:mi>Σ</mml:mi> <mml:mi>c</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow/> <mml:mo>∗</mml:mo> <mml:mo>)</mml:mo> </mml:mrow> </mml:msubsup> <mml:msup> <mml:mrow> <mml:mover> <mml:mrow> <mml:mi>D</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>¯</mml:mo> </mml:mrow> </mml:mover> </mml:mrow> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow/> <mml:mo>∗</mml:mo> <mml:mo>)</mml:mo> </mml:mrow> </mml:msup> </mml:mrow> </mml:math> hadronic molecular picture, at the center-of-mass energy 7~\text TeV <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mn>7</mml:mn> <mml:mspace/> <mml:mtext>TeV</mml:mtext> </mml:mrow> </mml:math> in the pp collision. Their cross sections are several \mathrm nb <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>nb</mml:mi> </mml:math> and we would expect several tens hidden charm pentaquark events in the LHC based on its current integrated luminosity. The cross sections show a sizable deviation of the cross sections for hidden charm pentaquarks with the third isospin component I_z=+(1)/(2) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>I</mml:mi> <mml:mi>z</mml:mi> </mml:msub> <mml:mo>=</mml:mo> <mml:mo>+</mml:mo> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mn>2</mml:mn> </mml:mfrac> </mml:mrow> </mml:math> ( P_c⁺ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>P</mml:mi> <mml:mi>c</mml:mi> <mml:mo>+</mml:mo> </mml:msubsup> </mml:math> ) from those with I_z=-(1)/(2) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>I</mml:mi> <mml:mi>z</mml:mi> </mml:msub> <mml:mo>=</mml:mo> <mml:mo>-</mml:mo> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mn>2</mml:mn> </mml:mfrac> </mml:mrow> </mml:math> ( P_c⁰ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>P</mml:mi> <mml:mi>c</mml:mi> <mml:mn>0</mml:mn> </mml:msubsup> </mml:math> ). The cross sections decrease dramatically with the increasing transverse momentum. Our study can also tell where to search for the missing hidden charm pentaquarks. The confirmation of the complete hidden charm pentaquarks in the heavy quark symmetry would further verify their Σ _c^(*)D^(*) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msubsup> <mml:mi>Σ</mml:mi> <mml:mi>c</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow/> <mml:mo>∗</mml:mo> <mml:mo>)</mml:mo> </mml:mrow> </mml:msubsup> <mml:msup> <mml:mrow> <mml:mover> <mml:mrow> <mml:mi>D</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>¯</mml:mo> </mml:mrow> </mml:mover> </mml:mrow> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow/> <mml:mo>∗</mml:mo> <mml:mo>)</mml:mo> </mml:mrow> </mml:msup> </mml:mrow> </mml:math> molecular interpretation. In addition, the relative strength among these cross sections for pentaquarks can help us to identify the quantum numbers of the P_c(4440) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>P</mml:mi> <mml:mi>c</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>4440</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> and P_c(4457) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>P</mml:mi> <mml:mi>c</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mn>4457</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> .

Citations

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