CMS logoCMS event Hgg
Compact Muon Solenoid
LHC, CERN

CMS-HIN-24-003 ; CERN-EP-2025-095
Measurement of D$^0$ meson photoproduction in ultraperipheral heavy ion collisions
Submitted to Phys. Rev. Lett.
Abstract: This Letter reports the first measurement of photonuclear D$^0$ meson production in ultraperipheral heavy ion collisions. The study is performed using lead-lead collision data, with an integrated luminosity of 1.34 nb$^{-1}$, collected by the CMS experiment at a nucleon-nucleon center-of-mass energy of 5.36 TeV. Photonuclear events, where one of the colliding nuclei breaks up and the other remains intact, are selected based on breakup neutron emissions and by requiring no particle activity in a large rapidity interval in the direction of the photon-emitting nucleus. The D$^0$ mesons are reconstructed via the $ \mathrm{D^0}\to\mathrm{K^-}\pi^{+} $ decay channel, with the cross section measured as a function of D$^0$ meson transverse momentum and rapidity. The results are compared with next-to-leading-order perturbative QCD calculations that employ recent parametrizations of the lead nuclear parton distribution functions, as well as with predictions based on the color glass condensate framework. This measurement is the first photonuclear collision study characterizing parton distribution functions of lead nuclei for parton fractional momenta $ x $ (relative to the nucleon) ranging approximately from a few 10$^{-4} $ to 10$^{-2} $ for different hard energy scale $ Q^{2} $ selections.

This work is dedicated to the memory of our colleague and friend, Michele Arneodo. Michele was a generous mentor, a passionate physicist, and a kind soul who inspired both students and collaborators with his wisdom, warmth, and dedication to science. His contributions to diffractive physics and his support for young scientists leave a lasting legacy. He will be deeply missed.
Figures Summary References CMS Publications
Figures

png pdf
Figure 1:
Invariant mass distribution of D$^0$ mesons with 5 $ < p_{\mathrm{T}} < $ 8 GeV and 0.0 $ < y < $ 1.0. The description of the fit template is provided in the text.

png pdf
Figure 2:
Cross sections for D$^0$ production in $ \gamma\mathrm{N} $ events ($ \mathrm{X}\mathrm{n}0\mathrm{n}+0\mathrm{n}\mathrm{X}\mathrm{n} $) in three $ p_{\mathrm{T}} $ intervals. Vertical bars (brackets) indicate statistical (systematic) uncertainties. Sub-panels show theory-over-data ratios: the middle panel compares G$ \gamma $A-FONLL with EPPS21 lead nPDFs and a CGC calculation [15], while the bottom panel shows G$ \gamma $A-FONLL with CT18NLO proton PDFs. Light-shaded bands reflect scale variations, hatched bands represent PDF and nPDF uncertainties. Vertical bars (brackets) represent statistical (systematic) uncertainties on data.

png pdf
Figure 2-a:
Cross sections for D$^0$ production in $ \gamma\mathrm{N} $ events ($ \mathrm{X}\mathrm{n}0\mathrm{n}+0\mathrm{n}\mathrm{X}\mathrm{n} $) in three $ p_{\mathrm{T}} $ intervals. Vertical bars (brackets) indicate statistical (systematic) uncertainties. Sub-panels show theory-over-data ratios: the middle panel compares G$ \gamma $A-FONLL with EPPS21 lead nPDFs and a CGC calculation [15], while the bottom panel shows G$ \gamma $A-FONLL with CT18NLO proton PDFs. Light-shaded bands reflect scale variations, hatched bands represent PDF and nPDF uncertainties. Vertical bars (brackets) represent statistical (systematic) uncertainties on data.

png pdf
Figure 2-b:
Cross sections for D$^0$ production in $ \gamma\mathrm{N} $ events ($ \mathrm{X}\mathrm{n}0\mathrm{n}+0\mathrm{n}\mathrm{X}\mathrm{n} $) in three $ p_{\mathrm{T}} $ intervals. Vertical bars (brackets) indicate statistical (systematic) uncertainties. Sub-panels show theory-over-data ratios: the middle panel compares G$ \gamma $A-FONLL with EPPS21 lead nPDFs and a CGC calculation [15], while the bottom panel shows G$ \gamma $A-FONLL with CT18NLO proton PDFs. Light-shaded bands reflect scale variations, hatched bands represent PDF and nPDF uncertainties. Vertical bars (brackets) represent statistical (systematic) uncertainties on data.

png pdf
Figure 2-c:
Cross sections for D$^0$ production in $ \gamma\mathrm{N} $ events ($ \mathrm{X}\mathrm{n}0\mathrm{n}+0\mathrm{n}\mathrm{X}\mathrm{n} $) in three $ p_{\mathrm{T}} $ intervals. Vertical bars (brackets) indicate statistical (systematic) uncertainties. Sub-panels show theory-over-data ratios: the middle panel compares G$ \gamma $A-FONLL with EPPS21 lead nPDFs and a CGC calculation [15], while the bottom panel shows G$ \gamma $A-FONLL with CT18NLO proton PDFs. Light-shaded bands reflect scale variations, hatched bands represent PDF and nPDF uncertainties. Vertical bars (brackets) represent statistical (systematic) uncertainties on data.
Summary
To summarize, this Letter presented the first measurement of the inclusive, prompt and nonprompt, photonuclear D$^0$ meson cross section as a function of transverse momentum and rapidity in ultraperipheral heavy-ion collisions. Exploiting the clean environment of photonuclear interactions, where final state and hadronization effects are largely reduced compared to hadronic production, this measurement provides novel constraints on nuclear matter over a wide range of parton momentum fraction $ x $ and interaction energy scale $ Q^{2} $. Comparisons with theory provide discrimination among parton distribution function parametrizations and challenge calculations based on nonlinear quantum chromodynamics evolution at high $ Q^{2} $. By demonstrating both its experimental feasibility and theoretical relevance, this study establishes open heavy-flavor production in ultraperipheral LHC collisions as a powerful probe of parton dynamics in nuclei.
References
1 M. Strikman, R. Vogt, and S. N. White Probing small $ x $ parton densities in ultraperipheral AA and pA collisions at the LHC PRL 96 (2006) 082001 hep-ph/0508296
2 S. Klein and P. Steinberg Photonuclear and two-photon interactions at high-energy nuclear colliders Ann. Rev. Nucl. Part. Sci. 70 (2020) 323 2005.01872
3 CMS Collaboration Overview of high-density QCD studies with the CMS experiment at the LHC Phys. Rept. 1115 (2025) 219 CMS-HIN-23-011
2405.10785
4 S. R. Klein, J. Nystrand, and R. Vogt Heavy quark photoproduction in ultraperipheral heavy ion collisions Phys. Rev. C 66 (2002) 044906 hep-ph/0206220
5 M. Cacciari, G. M. Innocenti, and A. M. Sta \'s to Inclusive open charm photoproduction in ultraperipheral collisions at hthe LHC with G$ \gamma $A-FONLL 2506.09893
6 O. Behnke, A. Geiser, and M. Lisovyi Charm, beauty and top at HERA Prog. Part. Nucl. Phys. 84 (2015) 1 1506.07519
7 ALICE Collaboration D-meson production in p-Pb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}}= $ 5.02 TeV and in pp collisions at $ \sqrt{s}= $ 7 TeV Phys. Rev. C 94 (2016) 054908 1605.07569
8 LHCb Collaboration Study of prompt $ \mathrm{D^0} $ meson production in $ p\mathrm{Pb} $ collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}}= $ 5 TeV JHEP 10 (2017) 090 1707.02750
9 CMS Collaboration Elliptic flow of charm and strange hadrons in high-multiplicity pPb collisions at $ \sqrt{s_{_\mathrm{NN}}} = $ 8.16 TeV PRL 121 (2018) 082301 CMS-HIN-17-003
1804.09767
10 ALICE Collaboration $ \Lambda^+_c $ production and baryon-to-meson ratios in pp and p-Pb collisions at$ \sqrt{s_{_\mathrm{NN}}} = $ 5.02 TeV at the LHC PRL 127 (2021) 202301 2011.06078
11 LHCb Collaboration Observation of strangeness enhancement with charmed mesons in high-multiplicity $ p\mathrm{Pb} $ collisions at $ \sqrt{s_{_\mathrm{NN}}} = $ 8.16 TeV PRD 110 (2023) L031105 2311.08490
12 V. P. Goncalves and C. A. Bertulani Peripheral heavy ion collisions as a probe of the nuclear gluon distribution Phys. Rev. C 65 (2002) 054905 hep-ph/0110370
13 V. P. Goncalves and M. V. T. Machado The QCD pomeron in ultraperipheral heavy ion collisions. 3. Photonuclear production of heavy quarks EPJC 31 (2003) 371 hep-ph/0308120
14 A. Adeluyi, C. A. Bertulani, and M. J. Murray Nuclear effects in photoproduction of heavy quarks and vector mesons in ultraperipheral PbPb and pPb collisions at the LHC Phys. Rev. C 86 (2012) 047901 1208.6258
15 P. Gimeno-Estivill, T. Lappi, and H. Mäntysaari Inclusive $ \mathrm{D}^0 $ photoproduction in ultraperipheral collisions 2503.16108
16 CMS Collaboration HEPData record for this analysis link
17 O. Suranyi et al. Performance of the CMS Zero Degree Calorimeters in pPb collisions at the LHC JINST 16 (2021) P05008 2102.06640
18 CMS Collaboration L1 trigger and ZDC performance during 2023 heavy ion run CMS Detector Performance Note CMS-DP-2024-002, 2023
CDS
19 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
20 CMS Collaboration The CMS trigger system JINST 12 (2017) P01020 CMS-TRG-12-001
1609.02366
21 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004
22 CMS Collaboration Development of the CMS detector for the CERN LHC Run 3 JINST 19 (2024) P05064
23 CMS Collaboration Performance of missing transverse momentum reconstruction in proton-proton collisions at $ \sqrt{s} = $ 13 TeV using the CMS detector JINST 14 (2019) P07004 CMS-JME-17-001
1903.06078
24 C. Bierlich et al. A comprehensive guide to the physics and usage of PYTHIA 8.3 SciPost Phys. Codeb. 2022 (2022) 8 2203.11601
25 I. Helenius Simulations of photo-nuclear dijets with Pythia 8 and their sensitivity to nuclear PDFs PoS DIS 113, 2018
link
1806.07326
26 F. Cornet, P. Jankowski, M. Krawczyk, and A. Lorca New 5-flavor LO analysis and parametrization of parton distributions in the real photon PRD 68 (2003) 014010
27 K. J. Eskola, P. Paakkinen, H. Paukkunen, and C. A. Salgado EPPS21: a global QCD analysis of nuclear PDFs EPJC 82 (2022) 413 2112.12462
28 GEANT4 Collaboration GEANT4 --- a simulation toolkit NIM A 506 (2003) 250
29 D. J. Lange The EVTGEN particle decay simulation package NIM A 462 (2001) 152
30 E. Barberio, B. van Eijk, and Z. Was PHOTOS: A universal Monte Carlo for QED radiative corrections in decays Comput. Phys. Commun. 66 (1991) 115
31 CMS Collaboration Nuclear modification factor of D$ ^0 $ mesons in PbPb collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 5.02 TeV PLB 782 (2018) 474 CMS-HIN-16-001
1708.04962
32 CMS Collaboration Description and performance of track and primary-vertex reconstruction with the CMS tracker JINST 9 (2014) P10009 CMS-TRK-11-001
1405.6569
33 Particle Data Group Review of particle physics PRD 110 (2024) 030001
34 G. E. Forden and D. H. Saxon Improving vertex position determination by using a kinematic fit technical report, RAL, Chilton, 1985
35 ALICE Collaboration Measurement of the cross section for electromagnetic dissociation with neutron emission in PbPb Collisions at $ \sqrt{\smash[b]{s_{_{\mathrm{NN}}}}} = $ 2.76 TeV PRL 109 (2012) 252302 1203.2436
36 CMS Collaboration Search for the rare decay D$ ^0 \to \mu^+\mu^- $ in proton-proton collisions at $ \sqrt{s} = $ 13.6 TeV Submitted to Phys. Rev. Lett, 2025 CMS-BPH-23-008
2506.06152
37 CMS Collaboration CMS luminosity measurement for nucleus-nucleus collisions at 5.02 TeV in Run 2 technical report, CERN, Geneva, 2024
CDS
38 M. Cacciari, M. Greco, and P. Nason The $ p_{\mathrm{T}} $ spectrum in heavy-flavor hadroproduction. JHEP 05 (1998) 007 hep-ph/9803400
39 M. Cacciari, S. Frixione, and P. Nason The $ p_{\mathrm{T}} $ spectrum in heavy-flavor photoproduction JHEP 03 (2001) 006 hep-ph/0102134
40 S. Frixione and P. Nason Phenomenological study of charm photoproduction at HERA JHEP 03 (2002) 053 hep-ph/0201281
41 K. J. Eskola et al. Spatial resolution of dijet photoproduction in near-encounter ultraperipheral nuclear collisions Phys. Rev. C 110 (2024) 054906 2404.09731
42 T.-J. Hou et al. New CTEQ global analysis of quantum chromodynamics with high-precision data from the LHC PRD 103 (2021) 014013 1912.10053
Compact Muon Solenoid
LHC, CERN