- Open Access
Signatures of supermassive charged gravitinos in liquid scintillator detectors
Phys. Rev. Research 7, 033145 – Published 13 August, 2025
DOI: https://doi.org/10.1103/fm6h-7r78
Abstract
In a previous work [K. A. Meissner and H. Nicolai, Eur. Phys. J. C 84, 269 (2024)], two of the present authors have suggested possible experimental ways to search for stable supermassive particles with electric charges of in upcoming underground experiments, in particular the new Jiangmen Underground Neutrino Observatory (JUNO) experiment. In this paper, we present a detailed analysis of the specific signature of such gravitino-induced events for the JUNO detector and for upcoming liquid argon detectors like DUNE (Deep Underground Neutrino Experiment). The proposed method of detection relies on the “glow” produced by photons during the passage of such particles through the detector liquid, which would last for about a few to a few hundred microseconds depending on its velocity and the track. The cross sections for electronic excitation of the main component of the scintillator liquid, namely, linear alkylbenzene, by the passing gravitino are evaluated using quantum-chemical methods. The results show that, if such particles exist, the resulting signals would lead to a unique and unmistakable signature, for which we present event simulations as they would be seen by the JUNO or DUNE photomultipliers. Our analysis brings together two very different research areas, namely, fundamental particles physics and the search for a fundamental theory on the one hand, and methods of advanced quantum chemistry on the other.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (68)
- K. A. Meissner and H. Nicolai, Planck mass charged gravitino dark matter, Phys. Rev. D 100, 035001 (2019).
- K. A. Meissner and H. Nicolai, Searching for supermassive charged gravitinos in underground experiments, Eur. Phys. J. C 84, 269 (2024).
- K. A. Meissner and H. Nicolai, A stable supermassive charged gravitino? arXiv:2303.09131.
- MACRO Collaboration, Final search for lightly ionizing particles with the MACRO detector, arXiv:hep-ex/0402006.
- M. Gell-Mann, in Proceedings of the 1983 Shelter Island Conference on Quantum Field Theory and the Fundamental Problems of Physics, edited by S. W. R. Jackiw, N. N. Khuri, and E. Witten (Dover, Mineola, NY, 1985).
- H. Nicolai and N. P. Warner, The invariant breaking of gauged supergravity, Nucl. Phys. B 259, 412 (1985).
- K. A. Meissner and H. Nicolai, Standard model fermions and supergravity, Phys. Rev. D 91, 065029 (2015).
- K. A. Meissner and H. Nicolai, Standard model fermions and infinite-dimensional symmetries, Phys. Rev. Lett. 121, 091601 (2018).
- F. An, G. An, Q. An, V. Antonelli, E. Baussan, J. Beacom, L. Bezrukov, S. Blyth, R. Brugnera, M. B. Avanzini et al., Neutrino physics with JUNO, J. Phys. G: Nucl. Part. Phys. 43, 030401 (2016).
- A. Abusleme, T. Adam, S. Ahmad, R. Ahmed, S. Aiello, M. Akram, A. Aleem, T. Alexandros, F. An, Q. An et al., Mass testing and characterization of 20-inch PMTs for JUNO, Eur. Phys. J. C 82, 1168 (2022).
- B. Abi, R. Acciarri, M. A. Acero, G. Adamov, D. Adams, M. Adinolfi, Z. Ahmad, J. Ahmed, T. Alion, S. A. Monsalve et al., Volume I. Introduction to DUNE, J. Instrum. 15, T08008 (2020).
- L. Oberauer (private communication).
- E. Cremmer and B. Julia, The SO(8) supergravity, Nucl. Phys. B 159, 141 (1979).
- B. De Wit and H. Nicolai, N = 8 supergravity, Nucl. Phys. B 208, 323 (1982).
- K. A. Meissner and H. Nicolai, Conformal anomalies and gravitational waves, Phys. Lett. B 772, 169 (2017).
- A. Tseytlin, On partition function and Weyl anomaly of conformal higher-spin fields, Nucl. Phys. B 877, 598 (2013).
- K. A. Meissner and H. Nicolai, Superheavy gravitinos and ultra-high energy cosmic rays, J. Cosmol. Astropart. Phys. 09 (2019) 041.
- On the purely mathematical side not much is known about the Kac-Moody Lie algebra , apart from its mere existence. This is due to the fact that this algebra, like all algebras of this type, exhibits an exponential growth such that it is not even possible to give a complete list of its generators; the same for its involutory subalgebra ).
- A. Kleinschmidt and H. Nicolai, Standard model fermions and , Phys. Lett. B 747, 251 (2015).
- T. Damour, M. Henneaux, and H. Nicolai, and a small tension expansion of m theory, Phys. Rev. Lett. 89, 221601 (2002).
- It is a very peculiar fact that ), despite being infinite dimensional, admits finite-dimensional (unfaithful) representations, one of which corresponds to the fermionic part of the supermultiplet, hence also admitting a realization of the U(1) shift on these fermions (see [19] and references therein). By contrast, this symmetry, and thus the U(1) deformation, require an infinite-dimensional representation for the bosons, thus involving new degrees of freedom for which no physical interpretation is currently known. This is one reason for the distinguished role of fermions in the present context.
- S. D. McDermott, H.-B. Yu, and K. M. Zurek, Turning off the lights: How dark is dark matter? Phys. Rev. D 83, 063509 (2011).
- A. D. Dolgov, S. L. Dubovsky, G. I. Rubtsov, and I. I. Tkachev, Constraints on millicharged particles from Planck data, Phys. Rev. D 88, 117701 (2013).
- E. Del Nobile, M. Nardecchia, and P. Panci, Millicharge or decay: a critical take on minimal dark matter, J. Cosmol. Astropart. Phys. 04 (2016) 048.
- M. V. Medvedev and A. Loeb, Plasma constraints on the millicharged dark matter, arXiv:2406.15750.
- K. A. Meissner and H. Nicolai, Supermassive gravitinos and giant primordial black holes, Phys. Rev. D 102, 103008 (2020).
- M. Weber and W. de Boer, Determination of the local dark matter density in our galaxy, Astron. Astrophys. 509, A25 (2010).
- T. Damour and L. M. Krauss, New wimp population in the solar system and new signals for dark-matter detectors, Phys. Rev. D 59, 063509 (1999).
- M. G. Giammarchi et al. (Borexino Collaboration), Solar and geoneutrino physics with borexino, Nucl. Instrum. Methods Phys. Res. Sect. A 742, 250 (2014).
- J. B. Maglic and R. Lavendomme, MoloVol: An easy-to-use program for analyzing cavities, volumes and surface areas of chemical structures, J. Appl. Crystallogr. 55, 1033 (2022).
- N. W. Moriarty and G. Karlström, Geometry optimization of a water molecule in water. A combined quantum chemical and statistical mechanical treatment, J. Chem. Phys. 106, 6470 (1997).
- S. L. Saito, Hartree–Fock–Roothaan energies and expectation values for the neutral atoms He to Uuo: The -spline expansion method, At. Data Nucl. Data Tables 95, 836 (2009).
- M. Pitoňák, P. Neogrády, J. Rezac, P. Jurecka, M. Urban, and P. Hobza, Benzene dimer: High-level wave function and density functional theory calculations, J. Chem. Theory Comput. 4, 1829 (2008).
- D. M. Rogers, J. D. Hirst, E. P. Lee, and T. G. Wright, Ab initio study of the toluene dimer, Chem. Phys. Lett. 427, 410 (2006).
- P. Lombardi, M. Montuschi, A. Formozov, A. Brigatti, S. Parmeggiano, R. Pompilio, W. Depnering, S. Franke, R. Gaigher, J. Joutsenvaara et al., Distillation and stripping pilot plants for the JUNO neutrino detector: Design, operations and reliability, Nucl. Instrum. Methods Phys. Res. 925, 6 (2019).
- A. Becke, Density-functional thermochemistry. III. The role of exact exchange, J. Chem. Phys. 98, 5648 (1993).
- C. Lee, W. Yang, and R. G. Parr, Development of the colle-salvetti correlation-energy formula into a functional of the electron density, Phys. Rev. B 37, 785 (1988).
- S. H. Vosko, L. Wilk, and M. Nusair, Accurate spin-dependent electron liquid correlation energies for local spin density calculations: A critical analysis, Can. J. Phys. 58, 1200 (1980).
- S. Grimme, J. Antony, S. Ehrlich, and H. Krieg, A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu, J. Chem. Phys. 132, 154104 (2010).
- S. Grimme, S. Ehrlich, and L. Goerigk, Effect of the damping function in dispersion corrected density functional theory, J. Comput. Chem. 32, 1456 (2011).
- D. G. Smith, L. A. Burns, K. Patkowski, and C. D. Sherrill, Revised damping parameters for the D3 dispersion correction to density functional theory, J. Phys. Chem. Lett. 7, 2197 (2016).
- T. H. Dunning, Jr., Gaussian basis sets for use in correlated molecular calculations. I. The atoms boron through neon and hydrogen, J. Chem. Phys. 90, 1007 (1989).
- Y. Shao, Z. Gan, E. Epifanovsky, A. T. Gilbert, M. Wormit, J. Kussmann, A. W. Lange, A. Behn, J. Deng, X. Feng et al., Advances in molecular quantum chemistry contained in the Q-Chem 4 program package, Mol. Phys. 113, 184 (2015).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/fm6h-7r78 for additional details of the calculations reported in the main text.
- J. Schirmer, Beyond the random-phase approximation: A new approximation scheme for the polarization propagator, Phys. Rev. A 26, 2395 (1982).
- A. B. Trofimov, I. Krivdina, J. Weller, and J. Schirmer, Algebraic-diagrammatic construction propagator approach to molecular response properties, Chem. Phys. 329, 1 (2006).
- C. Hättig and K. Hald, Implementation of RI-CC2 triplet excitation energies with an application to trans-azobenzene, Phys. Chem. Chem. Phys. 4, 2111 (2002).
- A. Dreuw and M. Wormit, The algebraic diagrammatic construction scheme for the polarization propagator for the calculation of excited states, WIREs Comput. Mol. Sci. 5, 82 (2015).
- R. A. Kendall, T. H. Dunning, and R. J. Harrison, Electron affinities of the first-row atoms revisited. Systematic basis sets and wave functions, J. Chem. Phys. 96, 6796 (1992).
- D. Mester, P. R. Nagy, and M. Kállay, Reduced-cost second-order algebraic-diagrammatic construction method for excitation energies and transition moments, J. Chem. Phys. 148, 094111 (2018).
- S. F. Boys, Electronic wave functions I. A general method of calculation for the stationary states of any molecular system, Proc. R. Soc. London A 200, 542 (1950).
- L. E. McMurchie and E. R. Davidson, One-and two-electron integrals over cartesian gaussian functions, J. Comput. Phys. 26, 218 (1978).
- E. F. Valeev, Libint: A library for the evaluation of molecular integrals of many-body operators over gaussian functions, http://libint.valeyev.net/.
- V. I. Lebedev, Quadratures on a sphere, USSR Comput. Math. Math. Phys. 16, 10 (1976).
- V. I. Lebedev, Spherical quadrature formulas exact to orders 25–29, Sib. Math. J. 18, 99 (1977).
- V. I. Lebedev and D. N. Laikov, A quadrature formula for the sphere of the 131st algebraic order of accuracy, in Doklady Mathematics (Pleiades Publishing, Ltd., Moscow, 1999), Vol. 59, pp. 477–481.
- J. L. Whitten, Coulombic potential energy integrals and approximations, J. Chem. Phys. 58, 4496 (1973).
- B. I. Dunlap, J. W. D. Connolly, and J. R. Sabin, On some approximations in applications of theory, J. Chem. Phys. 71, 3396 (1979).
- O. Vahtras, J. Almlöf, and M. Feyereisen, Integral approximations for LCAO-SCF calculations, Chem. Phys. Lett. 213, 514 (1993).
- M. Feyereisen, G. Fitzgerald, and A. Komornicki, Use of approximate integrals in ab initio theory. An application in MP2 energy calculations, Chem. Phys. Lett. 208, 359 (1993).
- A. P. Rendell and T. J. Lee, Coupled-cluster theory employing approximate integrals: An approach to avoid the input/output and storage bottlenecks, J. Chem. Phys. 101, 400 (1994).
- R. A. Kendall and H. A. Früchtl, The impact of the resolution of the identity approximate integral method on modern ab initio algorithm development, Theor. Chem. Acc. 97, 158 (1997).
- F. Weigend, A fully direct RI-HF algorithm: Implementation, optimised auxiliary basis sets, demonstration of accuracy and efficiency, Phys. Chem. Chem. Phys. 4, 4285 (2002).
- F. Weigend, M. Häser, H. Patzelt, and R. Ahlrichs, RI-MP2: optimized auxiliary basis sets and demonstration of efficiency, Chem. Phys. Lett. 294, 143 (1998).
- F. Weigend, A. Köhn, and C. Hättig, Efficient use of the correlation consistent basis sets in resolution of the identity MP2 calculations, J. Chem. Phys. 116, 3175 (2002).
- W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C, 2nd ed. (Cambridge University Press, Cambridge, 1992).
- I. Manthos et al. (DarkSide-20k Collaboration), Darkside-20k: Next generation direct dark matter searches with liquid argon, arXiv:2312.03597.
- V. Kuzminov and N. J. Osetrova, Precise measurement of beta spectrum by using a wall-less proportional counter, Phys. At. Nucl. 63, 1292 (2000).