Abstract
Current values of the neutron lifetime, determined by two entirely distinct measurement techniques of comparable precision, differ to a statistically significant degree, a result which has become known as the neutron lifetime anomaly. In a previous publication we have shown that the discrepancy can be resolved by taking account of electron transfer charge exchange reactions between residual gases and final state protons stored in a quasi-Penning trap. In this article we analyze unique experimental data obtained during the course of the first published neutron lifetime measurement that used a proton trap. These data employed trapping times greater by a factor of a thousand than became conventional in later experiments. The data show that significant event losses occur, probably due to residual gas other than molecular hydrogen or helium. Additionally, the molecular ion H2+ produced by charge exchange in H2 undergoes secondary molecular reactions, producing the molecular ion H3+ and the ion HeH+ which is also produced by secondary reactions in helium. These ions could result in event losses depending on the energy and time-of-flight acceptance windows. Energy losses are evaluated and ionic compositions are quantitively assessed as functions of trapping time and residual gas density to account for an energy spectrum obtained using a silicon surface barrier detector. The spectrum is strongly influenced by charge exchange, secondary molecular reactions and backscattering in the detector dead layer.
Similar content being viewed by others
Data Availability Statement
This manuscript has no associated data or the data will not be deposited. [Authors' comment: Data used are referenced or the source is acknowledged. Data generated are in the manuscript.]
References
J.S. Nico, J. Phys. G: Nucl. Part. Phys. 36, 104001 (2009). https://doi.org/10.1088/0954-3899/36/10/104001
D. Dubbers, M.G. Schmidt, Rev. Mod. Phys. 83, 1111 (2011). https://doi.org/10.1103/RevModPhys.83.1111
D. Castelvecchi, Nature 598, 549 (2021)
B. Fornal, B. Grinstein, Phys. Rev. Lett. 120, 191801 (2018). https://doi.org/10.1103/PhysRevLett.120.191801
A.N. Ivanov, R. Höllwieser, N.I. Trotskaya, M. Wellenzohn, Y.A. Berdnikov, Nucl. Phys. B 938, 114 (2019). https://doi.org/10.1016/j.nuclphysb.2018.11.005
U.C.N.A. Collaboration, Phys. Rev. C 97, 052501(R) (2018). https://doi.org/10.1103/PhysRevC.97.052501
B. Märkisch, H. Abele, D. Dubbers, H. Saul, T. Soldner, J. Surf. Investig. 14 (Suppl. 1), S140–S143 (2020)
J. Byrne, P.G. Dawber, C.G. Habeck, S.J. Smidt, J.A. Spain, A.P. Williams, Europhys. Lett. 33, 187 (1996). https://doi.org/10.1209/epl/i1996-00319-x
J.S. Nico, M.S. Dewey, D.M. Gilliam, F.E. Wietfeldt, X. Fei, W.M. Snow, G.L. Greene, J. Pauwels, R. Eykens, A. Lamberty, J. Van Gestel, R.D. Scott, Phys. Rev. C 71, 055502 (2005). https://doi.org/10.1103/PhysRevC.71.055502
J. Byrne, D.L. Worcester, J. Phys. G: Nucl. Part. Phys. 46, 085001 (2019). https://doi.org/10.1088/1361-6471/ab256b
A.P. Serebrov, M.E. Chaikovskii, G.N. Klyushnikov, O.M. Zherebysov, A.V. Chechkin, Phys. Rev. D 103, 074010 (2021). https://doi.org/10.1103/PhysRevD.103.074010
N.G. van Kampen, Stochastic Processes in Physics and Chemistry, 3rd edn. (Elsevier, North Holland, 2007). https://doi.org/10.1016/B978-0-444-52965-7.50022-2
E. Lukacs, Characteristic Functions, 2nd edn. (C. Griffin & Co., London, 1970)
J. Byrne, P.G. Dawber, M.G.D. van der Grinten, C.G. Habeck, F. Shaikh, J.A. Spain, R.D. Scott, C.A. Baker, K. Green, O. Zimmer, J. Phys. G 28, 1325 (2002). (Appendix B)
M. Abramowitz, I.A. Stegun (eds.), Handbook of Mathematical Functions (Dover, NewYork, 1973). (#29 pages 1019-1030 and pages 948-49, 990)
J. Byrne, in Fundamental Physics with Reactor Neutrons and Neutrinos, ed. by T. von Egidy (IOP Conference Series Number 42, Bristol, 1978), pages 28–37.
J. Byrne, J. Morse, K.F. Smith, F. Shaikh, K. Green, G.L. Greene, Phys. Lett. B 92, 274 (1980). https://doi.org/10.1016/0370-2693(80)90262-2
X. Urbain, N. de Ruette, V.M. Andrianarijaona, M.F. Martin, L. Fernandez Menchero, L.F. Errea, L. Mendezi, L. Rabadan, B. Pons, Phys. Rev. Lett. 111, 203201 (2013). https://doi.org/10.1103/PhysRevLett.111.203201
Y. Beers, Introduction to the Theory of Error, 2nd edn. (Academic Press, 1957)
TU Wien, Institut für Angewandte Physik, www.iap.tuwien.ac.at/www/surface/vapor-pressure
W.T. Eadie, D. Dryard, F.E. James, M. Roos, B. Sadoulet, Statistical Methods in Experimental Physics (North Holland, Amsterdam, 1971). (pages 28, 40-42, 68-69)
L. Landau, J. Phys. (USSR) 8, 201–208 (1944). (Collected Papers of L.D. Landau, ed. by D. ter Haar (Gordon and Breach, New York, 1965) pg. 417–424)
K.R. Symon, Fluctuations in Energy Loss by High-Energy Charged Particles in Passing Though Matter (PhD thesis, Physics Dept, Harvard University, 1948).
J.A. Phillips, Phys. Rev. 97, 404–410 (1955). https://doi.org/10.1103/PhysRev.97.404
S.A. Allison, Rev. Mod. Phys. 30, 1137–1168 (1958), Section VB, Table V-20C, page 1158. https://doi.org/10.1103/RevModPhys.30.1137
International Commission on Radiation Units and Measurements, ICRU Report 49, Stopping Powers and Ranges for Protons and Alpha Particles, (ICRU 1993). https://doi.org/10.1093/jicru_os25.2.1; For Introduction pg 1. https://doi.org/10.1093/jicru_os25.2.107; For Main Proton Tables. https://doi.org/10.1093/jicru_os25.2.183; For Main Alpha Particle Tables.
S. Miller, J. Tennyson, Rev. Mod. Phys. 92, 035003 (2020). https://doi.org/10.1103/RevModPhys.92.035003
T. Oka, Proc. Natl. Acad. Sci. 103, 12235–12242 (2006). https://doi.org/10.1073/pnas.0601242103
I. Savic, D. Gerlich, O. Asvany, P. Jusko, S. Schlemmer, Mol. Phys. 113, 2320–2332 (2015). https://doi.org/10.1080/00268976.2015.1037802
A.H. Morton, D.A. Aldcroft, M.F. Payne, Phys. Rev. 165, 415–419 (1968). https://doi.org/10.1103/PhysRev.165.415
R.D. Evans, The Atomic Nucleus (McGraw Hill, New York, 1955). (pages 410–417 and 470–510)
H.A. Enge, Introduction to Nuclear Physics (Addison Wesley, Reading, Mass, 1996), pp. 376–379
W.E. Meyerhof, Elements of Nuclear Physics (McGraw Hill, New York, 1997), pp. 174–180
R.S. Gao, L.K. Johnson, G.J. Smith, C.L. Hakes, K.A. Smith, N.F. Lane, R.F. Stebbings, M. Kimura, Phys. Rev. A 44, 5599–5604 (1991). https://doi.org/10.1103/PhysRevA.44.5599
L. Savic, S. Schlemmer, D. Gerlich, ChemPhysChem 21, 1429–1435 (2020). https://doi.org/10.1002/cphc.202000258
H. Bateman, Proc. Camb. Phil. Soc. 15, 423–427 (1910)
H. Bateman, Partial Differential Equations of Mathematical Physics (Cambridge University Press 1932; American edition, Dover, NewYork 1943)
M.P. Langevin, Ann. Chem. 29, 294 (1905)
N. Bohr, Kgl. Danske Vidensk. Selsik., Mat.-Phys. Medd (1948). https://doi.org/10.1016/S1876-0503(08)70172-5
E. Everhart, G. Stone, R.J. Carbone, Phys. Rev. 99, 1287–1290 (1955). https://doi.org/10.1103/PhysRev.99.1287
L.P. Theard, W.T. Huntress, J. Chem. Phys. 60, 2840–2848 (1974). https://doi.org/10.1063/1.1681453
R.D. Smith, D.L. Smith, J.H. Futrell, Int. J. Mass Spectrometry Ion Phys. 19, 369–394 (1976). https://doi.org/10.1016/0020-7381(76)80020-4
D. De Fazio, M. de Castro-Vitores, A. Aguado, V. Aquilanti, S. Cavalli, J. Chem. Phys. 137, 244306 (2012). https://doi.org/10.1063/1.4772651
T.S. Chu, R.F. Lu, K.L. Han, X.N. Tang, H.F. Xu, C.Y. Ng, J. Chem. Phys. 122, 244322 (2005). https://doi.org/10.1063/1.1948380
Acknowledgements
We thank John Morse for many informative discussions and permission to reproduce Fig. 1a and b from his 1980 D. Phil thesis (University of Sussex), along with the Linear Regression data listed in Table 2. Extensive assistance of staff at the NIST Research Library, especially Alan Olson, is very gratefully acknowledged. We also thank Xavier Urbain for communications on the 2013 H2 charge exchange data and Dario De Fazio for communications on the 2012 helium + H2+ molecular reaction analysis at low energies. We thank Michael Weinrich for helpful comments on the manuscript.
Funding
No funding was received for conducting this study.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors have no financial or proprietary interests in any material discussed in this article.
Additional information
Communicated by Klaus Blaum.
Dedicated to the memory of the late Norman F. Ramsey.
Rights and permissions
Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Byrne, J., Worcester, D.L. The neutron lifetime anomaly: analysis of charge exchange and molecular reactions in a proton trap. Eur. Phys. J. A 58, 151 (2022). https://doi.org/10.1140/epja/s10050-022-00786-8
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epja/s10050-022-00786-8