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Explaining Snowball-in-Hell Phenomena in Heavy-Ion Collisions Using a Novel Thermodynamic Variable
Phys. Rev. Lett. 134, 252301 – Published 26 June, 2025
DOI: https://doi.org/10.1103/7cjr-fgdw
Abstract
A loosely bound hadronic molecule produced by a relativistic heavy-ion collision has been described as a “snowball in hell” since it emerges from a hadron resonance gas whose temperature is orders of magnitude larger than the binding energy of the molecule. This remarkable phenomenon can be explained in terms of a novel thermodynamic variable called the “contact” that is conjugate to the binding momentum of the molecule. The production rate of the molecule can be expressed in terms of the contact density at the kinetic freeze-out of the hadron resonance gas. It approaches a nonzero limit as the binding energy goes to 0.
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References (56)
- P. Braun-Münzinger, B. Dönigus, and N. Löher, ALICE investigates “snowballs in hell,” CERN Courier 55, 7 (2015), https://cerncourier.com/a/alice-investigates-snowballs-in-hell/.
- H. Elfner and B. Müller, The exploration of hot and dense nuclear matter: Introduction to relativistic heavy-ion physics, J. Phys. G 50, 103001 (2023).
- J. L. Nagle and W. A. Zajc, Small system collectivity in relativistic hadronic and nuclear collisions, Annu. Rev. Nucl. Part. Sci. 68, 211 (2018).
- C. Adler et al. (STAR Collaboration), Anti-deuteron and anti-He-3 production in collisions, Phys. Rev. Lett. 87, 262301 (2001).
- B. I. Abelev et al. (STAR Collaboration), Observation of an antimatter hypernucleus, Science 328, 58 (2010).
- S. Acharya et al. (ALICE Collaboration), Measurement of the low-energy antideuteron inelastic cross section, Phys. Rev. Lett. 125, 162001 (2020).
- S. Acharya et al. (ALICE Collaboration), Measurement of the lifetime and separation energy of , Phys. Rev. Lett. 131, 102302 (2023).
- A. M. Sirunyan et al. (CMS Collaboration), Evidence for in Pb-Pb collisions and studies of its prompt production at , Phys. Rev. Lett. 128, 032001 (2022).
- P. Braun-Munzinger and B. Dönigus, Loosely-bound objects produced in nuclear collisions at the LHC, Nucl. Phys. A987, 144 (2019).
- D. Oliinychenko, Overview of light nuclei production in relativistic heavy-ion collisions, Nucl. Phys. A1005, 121754 (2021).
- S. Sombun, K. Tomuang, A. Limphirat, P. Hillmann, C. Herold, J. Steinheimer, Y. Yan, and M. Bleicher, Deuteron production from phase-space coalescence in the UrQMD approach, Phys. Rev. C 99, 014901 (2019).
- V. Kireyeu, J. Steinheimer, J. Aichelin, M. Bleicher, and E. Bratkovskaya, Deuteron production in ultrarelativistic heavy-ion collisions: A comparison of the coalescence and the minimum spanning tree procedure, Phys. Rev. C 105, 044909 (2022).
- J. Staudenmaier, D. Oliinychenko, J. M. Torres-Rincon, and H. Elfner (SMASH Collaboration), Deuteron production in relativistic heavy ion collisions via stochastic multiparticle reactions, Phys. Rev. C 104, 034908 (2021).
- B. Dönigus, G. Röpke, and D. Blaschke, Deuteron yields from heavy-ion collisions at energies available at the CERN Large Hadron Collider: Continuum correlations and in-medium effects, Phys. Rev. C 106, 044908 (2022).
- E. Bratkovskaya et al., Midrapidity cluster formation in heavy-ion collisions, EPJ Web Conf. 276, 03005 (2023).
- R. Q. Wang, J. P. Lv, Y. H. Li, J. Song, and F. L. Shao, Different coalescence sources of light nucleus production in Au-Au collisions at , Chin. Phys. C 48, 053112 (2024).
- G. Coci, S. Gläßel, V. Kireyeu, J. Aichelin, C. Blume, E. Bratkovskaya, V. Kolesnikov, and V. Voronyuk, Dynamical mechanisms for deuteron production at mid-rapidity in relativistic heavy-ion collisions from energies available at the GSI Schwerionensynchrotron to those at the BNL relativistic heavy ion collider, Phys. Rev. C 108, 014902 (2023).
- H. G. Cheng and Z. Q. Feng, Novel approach to light-cluster production in heavy-ion collisions, Phys. Rev. C 109, L021602 (2024).
- J. Knoll, The fate of weakly bound light nuclei in central collider experiments: A challenge in favor of a late continuous decoupling mechanism, Phys. Lett. B 859, 139091 (2024).
- M. Ege, J. Mohs, J. Staudenmaier, and H. Elfner, Deuteron, triton, helium-3 and hypertriton production in relativistic heavy-ion collisions via stochastic multi-particle reactions, arXiv:2409.04209.
- Y. Cai, T. D. Cohen, B. A. Gelman, and Y. Yamauchi, Yields of weakly-bound light nuclei as a probe of the statistical hadronization model, Phys. Rev. C 100, 024911 (2019).
- S. T. Butler and C. A. Pearson, Deuterons from high-energy proton bombardment of matter, Phys. Rev. 129, 836 (1963).
- J. L. Nagle, B. S. Kumar, D. Kusnezov, H. Sorge, and R. Mattiello, Coalescence of deuterons in relativistic heavy ion collisions, Phys. Rev. C 53, 367 (1996).
- R. Scheibl and U. W. Heinz, Coalescence and flow in ultrarelativistic heavy ion collisions, Phys. Rev. C 59, 1585 (1999).
- S. Tan, Energetics of a strongly correlated Fermi gas, Ann. Phys. (Amsterdam) 323, 2952 (2008).
- S. Tan, Large momentum part of a strongly correlated Fermi gas, Ann. Phys. (Amsterdam) 323, 2971 (2008).
- E. Braaten, Universal relations for fermions with large scattering length, Lect. Notes Phys. 836, 193 (2012).
- J. T. Stewart, J. P. Gaebler, T. E. Drake, and D. S. Jin, Verification of universal relations in a strongly interacting Fermi gas, Phys. Rev. Lett. 104, 235301 (2010).
- E. Braaten and H. W. Hammer, Universality in few-body systems with large scattering length, Phys. Rep. 428, 259 (2006).
- C. Chin, R. Grimm, P. Julienne, and E. Tiesinga, Feshbach resonances in ultracold gases, Rev. Mod. Phys. 82, 1225 (2010).
- E. Beth and G. E. Uhlenbeck, The quantum theory of the non-ideal gas. II. Behaviour at low temperatures, Physica 4, 915 (1937).
- M. Sun and X. Leyronas, High-temperature expansion for interacting fermions, Phys. Rev. A 92, 053611 (2015).
- J. D. Bjorken, Highly relativistic nucleus-nucleus collisions: The central rapidity region, Phys. Rev. D 27, 140 (1983).
- A. Andronic, P. Braun-Munzinger, K. Redlich, and J. Stachel, Decoding the phase structure of QCD via particle production at high energy, Nature (London) 561, 321 (2018).
- Y. Nishida and D. T. Son, Nonrelativistic conformal field theories, Phys. Rev. D 76, 086004 (2007).
- E. Braaten and L. Platter, Exact relations for a strongly interacting Fermi gas from the operator product expansion, Phys. Rev. Lett. 100, 205301 (2008).
- P. Hertz, Uber den gegenseitigen durchschnittlichen Abstand von Punkten, die mit bekannter mittlerer Dichte im Raume angeordnet sind, Math. Ann. 67, 387 (1909).
- J. Adam et al. (ALICE Collaboration), Production of light nuclei and anti-nuclei in pp and Pb-Pb collisions at energies available at the CERN Large Hadron Collider, Phys. Rev. C 93, 024917 (2016).
- B. Abelev et al. (ALICE Collaboration), Centrality dependence of production in Pb-Pb collisions at , Phys. Rev. C 88, 044910 (2013).
- I. Melo and B. Tomášik, Kinetic freeze-out in central heavy-ion collisions between 7.7 and 2760 GeV per nucleon pair, J. Phys. G 47, 045107 (2020).
- M. Juric et al., A new determination of the binding-energy values of the light hypernuclei (), Nucl. Phys. B52, 1 (1973).
- J. Adam et al. (STAR Collaboration), Measurement of the mass difference and the binding energy of the hypertriton and antihypertriton, Nat. Phys. 16, 409 (2020).
- P. Eckert et al., Commissioning of the hypertriton binding energy measurement at MAMI, EPJ Web Conf. 271, 01006 (2022).
- J. Adam et al. (ALICE Collaboration), and production in Pb-Pb collisions at , Phys. Lett. B 754, 360 (2016).
- B. B. Abelev et al. (ALICE Collaboration), and production in Pb-Pb collisions at , Phys. Rev. Lett. 111, 222301 (2013).
- H. Kamada, J. Golak, K. Miyagawa, H. Witala, and W. Gloeckle, Pi mesonic decay of the hypertriton, Phys. Rev. C 57, 1595 (1998).
- S. K. Choi et al. (Belle Collaboration), Observation of a narrow charmonium-like state in exclusive decays, Phys. Rev. Lett. 91, 262001 (2003).
- S. Novas et al. (Particle Data Group), Review of particle properties, Phys. Rev. D 110, 030001 (2024).
- R. Aaij et al. (LHCb Collaboration), Determination of the meson quantum numbers, Phys. Rev. Lett. 110, 222001 (2013).
- A. Andronic, P. Braun-Munzinger, M. K. Köhler, A. Mazeliauskas, K. Redlich, J. Stachel, and V. Vislavicius, The multiple-charm hierarchy in the statistical hadronization model, J. High Energy Phys. 07 (2021) 035.
- S. Acharya et al. (ALICE Collaboration), Production of charged pions, kaons, and (anti-)protons in Pb-Pb and inelastic collisions at , Phys. Rev. C 101, 044907 (2020).
- S. Acharya et al. (ALICE Collaboration), Light (anti)nuclei production in Pb-Pb collisions at , Phys. Rev. C 107, 064904 (2023).
- D. B. Kaplan, M. J. Savage, and M. B. Wise, Two nucleon systems from effective field theory, Nucl. Phys. B534, 329 (1998).
- S. Fleming, M. Kusunoki, T. Mehen, and U. van Kolck, Pion interactions in the , Phys. Rev. D 76, 034006 (2007).
- E. Braaten, D. Kang, and L. Platter, Universal relations for identical bosons from 3-body physics, Phys. Rev. Lett. 106, 153005 (2011).
- R. Aaij et al. (LHCb Collaboration), Observation of an exotic narrow doubly charmed tetraquark, Nat. Phys. 18, 751 (2022).