Abstract
We have examined the atomic theory behind recent constraints on the violation of the Pauli Exclusion Principle derived from experiments that look for X-rays emitted from conductors while a large current is present. We also re-examine the assumptions underlying such experiments. We use the results of these studies to assess pilot measurements to develop an improved test of the Principle. We present an improved limit of \(\frac{1}{2}\beta^{2} < 2.6\times10^{-39}\) on the Pauli Exclusion Principle. This limit is the best to date for interactions between a system of fermions and a fermion that has not previously interacted with that given system. That is, for systems that do not obviously violate the Messiah-Greenberg symmetrization-postulate selection rule.
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References
Aalseth, C.E., et al.: Results from a search for light-mass dark matter with a p-type point contact germanium detector. Phys. Rev. Lett. 106, 131301 (2011)
Amado, R.D., Primakoff, H.: Comments on testing the Pauli principle. Phys. Rev. C 22, 1338 (1980)
Arnold, R., et al.: Testing the Pauli exclusion principle with the NEMO-2 detector. Eur. Phys. J. A 6, 361 (1999)
Back, H.O., et al.: New experimental limits on violations of the Pauli exclusion principle obtained with the Borexino Counting Test Facility. Eur. Phys. J. C 37, 421 (2004)
Barabash, A.: Experimental test of the Pauli exclusion principle (2009)
Barabash, A.S., Kornoukhov, V.N., Tspenyuk, Yu.M., Chapyzhnikov, B.A.: Search for anomalous carbon atoms—evidence of violation of the Pauli principle during the period of nucleosynthesis. JETP Lett. 68, 112 (1998)
Baron, E., Mohapatra, R.N., Teplitz, V.L.: Limits on Pauli principle violation by nucleons. Phys. Rev. D 59, 036003 (1999)
Bartalucci, S., et al.: New experimental limit on the Pauli exclusion principle violation by electrons. Phys. Lett. B 641, 18 (2006)
Bartalucci, S., et al.: The VIP experimental limit on the Pauli exclusion principle violation by electrons. Found. Phys. 40, 765 (2009)
Belli, P., et al.: New experimental limit on the electron stability and non-paulian transitions in Iodine atoms. Phys. Lett. B 460, 236 (1999)
Bellini, G., et al.: New experimental limits on the Pauli forbidden transitions in 12C nuclei obtained with 485 days Borexino data. Phys. Rev. C 81, 034317 (2010)
Bernabei, R., et al.: Search for non-paulian transitions in 23Na and 127I. Phys. Lett. B 408, 439 (1997)
Bernabei, R., et al.: New search for processes violating the Pauli exclusion principle in sodium and in iodine. Eur. Phys. J. C 62, 327 (2009)
Boswell, M., et al.: MaGe—a Geant4-based Monte Carlo application framework for low-background germanium experiments (2011)
Budjáš, D., Heider, M.B., Chkvorets, O., Khanbekov, N., Schönert, S.: Pulse shape discrimination studies with a Broad-Energy Germanium detector for signal identification and background suppression in the GERDA double beta decay experiment. J. Instrum. 4, P10007 (2009)
Budjáš, D., Heisel, M., Maneschg, W., Simgen, H.: Optimisation of the MC-model of a p-type Ge-spectrometer for the purpose of efficiency determination. Appl. Radiat. Isot. 67, 706 (2009)
Chow, C.-K., Greenberg, O.W.: Quons in relativistic theories must be bosons or fermions. Phys. Lett. A 283, 20 (2001)
Corinaldesi, E.: Model of a dynamical theory of the Pauli principle. Suppl. Nuovo Cim. I5, 937 (1967)
Deilamian, K., Gillaspy, J.D., Kelleher, D.E.: Small violations of the symmetrization postulate in an excited state of helium. Phys. Rev. Lett. 74, 4787 (1995)
Dolgov, A.D., Hansen, S.H., Smirnov, Y.A.: Neutrino statistics and big bang nucleosynthesis. J. Cosmol. Astropart. Phys. 6, 4 (2005)
Ejiri, H., Toki, H.: Search for exotic nuclear transitions associated with nuclear instability. Phys. Lett. B 306, 218 (1993)
Elliott, S.R., et al.: Proceedings of the Carolina International Symposium on Neutrino Physics, vol. 173. IOP Publishing, London (2010)
Goldhaber, M., Scharff-Goldhaber, G.: Identification of beta-rays with atomic electrons. Phys. Rev. 73, 1472 (1948)
Govorkov, A.B.: Can the Pauli principle be deduced with local quantum field theory? Phys. Lett. A 137, 7 (1989)
Greenberg, O.W.: Particles with small violations of Fermi or Bose statistics. Phys. Rev. D 43, 4111 (1991)
Greenberg, O.W.: Theories of violation of statistics. AIP Conf. Proc. 545, 113 (2000)
Greenberg, O.W., Mohapatra, R.N.: Local quantum field theory of possible violation of the Pauli principle. Phys. Rev. Lett. 59, 2507 (1987)
Greenberg, O.W., Mohapatra, R.N.: Phenomenology of small violations of Fermi and Bose statistics. Phys. Rev. D 39, 2032 (1989)
Guiseppe, V.E., et al.: The Majorana neutrinoless double-beta decay experiment. In: Nucl. Sci. Symp. Conf. Rec. NSS’08, p. 1793 (2008)
Haff, P.K., Vogel, P., Winther, A.: Capture of negative muons in atoms. Phys. Rev. A 10, 1430 (1974)
Haynes, W.M. (ed.): CRC Handbook of Chemistry and Physics Internet Version, 91st edn. CRC Press/Taylor and Francis, Boca Raton (2011) (Internet Version 2011)
Howe, M.A., Cox, G.A., Harvey, P.J., McGirt, F., Rielage, K., Wilkerson, J.F., Wouters, J.M.: Sudbury neutrino observatory neutral current detector acquisition software overview. IEEE Trans. Nucl. Sci. 51, 878–883 (2004)
Ignatiev, A.Y., Kuzmin, V.A.: Is a weak violation of the Pauli principle possible? Sov. J. Nucl. Phys. 461, 786 (1987)
Javorsek, D. II, et al.: New experimental test of the Pauli exclusion principle using accelerator mass spectrometry. Phys. Rev. Lett. 85, 2701 (2000)
Kekez, D., Ljubičić, A., Logan, B.A.: An upper limit to violations of the Pauli exclusion principle. Nature 348, 224 (1990)
Kim, Y.S., Pratt, R.H.: Radiative recombination of electrons with atomic ions: cross sections and rate coefficients. Phys. Rev. A 27, 2913 (1983)
Kishimoto, T., et al.: Search for violation of the Pauli principle through spontaneous neutron emission from lead. J. Phys. G 18, 443 (1992)
Logan, B., Ljubičić, A.: Validity of the Pauli exclusion principle for nucleons. Phys. Rev. C 20, 1957 (1979)
Messiah, A.M.L., Greenberg, O.W.: Symmetrization postulate and its experimental foundation. Phys. Rev. 136, B248 (1964)
Miljanić, D., et al.: Test of the Pauli principle in nuclear reactions. Phys. Lett. B 252, 487 (1990)
Nolte, E., et al.: Accelerator mass spectrometry for tests of the Pauli exclusion principle and for detection of beta beta decay products. J. Phys. G, Nucl. Part. Phys. 17, S355 (1991)
Novikov, V.M., et al.: Test of the Pauli exclusion principle for atomic electrons. Phys. Lett. B 240, 227 (1990)
Okun, L.B.: Possible violation of the Pauli principle in atoms. JETP Lett. 46, 529 (1987)
Okun, L.B.: Tests of electric charge conservation and the Pauli principle. Phys. Usp. 158, 293 (1989). Sov. Phys. Usp. 32, 543 (1989)
ORTEC: 801 South Illinois Avenue Oak Ridge, TN 37830, USA (2009)
Pauli, W.: Uber den Zusammenhang des Abschlusses der Elektronen- gruppen im Atom mit der Komplexstruktur der Spektren. Z. Phys. 31, 765 (1925)
Plaga, R.: Violations of the Pauli principle and the interior of the sun. Z. Phys. A 333, 397 (1989)
Ramberg, E., Snow, G.A.: Experimental limit on a small violation of the Pauli principle. Phys. Lett. B 238, 438 (1990)
Reines, F., Sobel, H.W.: Test of the Pauli exclusion principle for atomic electrons. Phys. Rev. Lett. 32, 954 (1974)
Shimony, A.: Proposed experiment to test the possible time dependence of the onset of the Pauli exclusion principle. Quantum Inf. Process. 5, 277 (2006)
Suzuki, Y., et al.: Study of invisible nucleon decay, \(n \rightarrow\nu\nu\bar {\nu }\), and a forbidden nuclear transition in the Kamiokande Detector. Phys. Lett. B 311, 357 (1993)
Thoma, M.H., Nolte, E.: Limits on small violations of the Pauli exclusion principle in the primordial nucleosynthesis. Phys. Lett. B 291, 484 (1992)
Zerrad, E., Hahn, Y.: Radiative recombination at low energies. J. Quant. Spectrosc. Radiat. Transf. 59, 637 (1998)
Acknowledgements
We gratefully acknowledge the support of the U.S. Department of Energy, Office of Nuclear Physics under Contract No. 2011LANLE9BW. MHC’s work was performed under the auspices of the U.S. Department of energy by Lawrence Livermore National Laboratory under Contract No. DE-AC52-07NA27344. We thank Keith Rielage and Yuri Efremenko for a careful reading of the manuscript. We thank Larry Rodriguez and Harry Salazar for helpful technical discussions. We thank P. Vogel, R. Mohapatra, and O.W. Greenberg for useful discussions of the theory.
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Elliott, S.R., LaRoque, B.H., Gehman, V.M. et al. An Improved Limit on Pauli-Exclusion-Principle Forbidden Atomic Transitions. Found Phys 42, 1015–1030 (2012). https://doi.org/10.1007/s10701-012-9643-y
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DOI: https://doi.org/10.1007/s10701-012-9643-y