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The fall of charged particles under gravity: A study of experimental problems
Rev. Mod. Phys. 64, 237 – Published 1 January, 1992
DOI: https://doi.org/10.1103/RevModPhys.64.237
Abstract
There are currently proposals to test the weak equivalence principle for antimatter by studying the motion of antiprotons, negative hydrogen ions, positrons, and electrons under gravity. The motions of such charged particles are affected by residual gas, radiation, and electric and magnetic fields, as well as gravity. The electric fields are particularly sensitive to the state of the "shielding" container. This paper reviews, and extends where necessary, the physics of these extraneous influences on the motion of charged particles under gravity. The effects considered include residual gas scattering; wall potentials due to patches, stress, thermal gradients, and contamination states; and image-charge-induced dissipation.
References (163)
- Anandan, J., 1981, "Gravitational and inertial effects in quantum fluids," Phys. Rev. Lett. 47, 463
- Anandan, J., 1984a, "Relativistic thermoelectromagnetic gravitational effects in normal conductors and superconductors," Phys. Lett. A 105, 280
- Anandan, J., 1984b, "Effect of Newtonian gravitational potential on a superfluid Josephson interferometer," Phys. Rev. B 30, 3717
- Balakin, A. B., and J. G. Ignat'ev, 1983, "The effect of a gravitational wave at the contact of conductors," Phys. Lett. A 96, 10
- Barnett, S. J., 1935, "Gyromagnetic and electron-inertia effects," Rev. Mod. Phys. 7, 129
- Barnhill, M. V., 1968, "Rotation-induced electric fields near metals," Phys. Lett. A 27, 461
- Blackford, B. L., M. G. Calkin, A. J. Purcell, and G. Siroink, 1979, "Rotation induced electromotive forces in normal and superconducting metals," Can. J. Phys. 57, 39
- Cerdonio, M., and S. Vitale, 1984, "Superfluid He4 analog of the rf superconducting quantum interference device and the detection of inertial and gravitational fields," Phys. Rev. B 29, 481
- Chow, R., and W. A. Tiller, 1984, "Deformation-induced work function changes in Cu single crystals. II. Theory," J. Appl. Phys. 55, 1346
- Darwin, C. G., 1936, "The inertia of electrons in metals," Proc. R. Soc. London, Ser. A 154, 61
- DeWitt, B. S., 1966, "Superconductors and gravitational drag," Phys. Rev. Lett. 16, 1092
- Ginzburg, V. L., and S. M. Kogan, 1972, "Electron-inertial experiments," Sov. Phys. JETP 34, 628
- Gron, O., and K. Voyenli, 1982, "Charge distributions in rotating conductors," Eur. J. Phys. 3, 210
- Harrison, W. A., 1969, "Force on an electron near a metal in a gravitational field," Phys. Rev. 180, 1606
- Held, A., 1967, "The behaviour of free electrons and positrons within a closed metallic container," Nuovo Cimento A 63, 976
- Houston, W. V., 1940, "Acceleration of electrons in a crystal lattice," Phys. Rev. 57, 184
- Hunter, S. C., and F. R. N. Nabarro, 1953, "The propagation of electrons in a strained metallic lattice," Proc. R. Soc. London, Ser. A 220, 542
- Lang, I. G., and S. T. Pavlov, 1970, "Microscopic theory of the Stewart-Tolman effect," Sov. Phys. Solid State 12, 836
- Lang, I. G., and S. T. Pavlov, 1971, "Deformation-potential interaction between conduction electrons and ultrasonic waves," Sov. Phys. Solid State 12, 1926
- Leontovich, M. A., and V. T. Khait, 1971, "Possibility of experimentally measuring the electromagnetic field produced in a metal in which transverse ultrasonic waves propagate," JETP Lett. 13, 414
- Leung, M. C., 1972, "Electric fields induced by gravitational fields in metals," Nuovo Cimento B 7, 220
- Leung, M. C., G. Papini, and R. G. Rystephanick, 1971, "Gravity-induced electric fields in metals," Can. J. Phys. 49, 2754
- Michel, F. C., 1968, "On the measurement of differences between the gravitationally induced electric fields near various metals," Phys. Rev. Lett. 21, 104
- Nieto, M. M., and T. Goldman, 1980, "Measurement of G/h using the superconducting AC Josephson effect," Phys. Lett. A 79, 449
- Papini, G., 1966, "London moment of rotating superconductors and Lense-Thirring fields of general relativity," Nuovo Cimento B 65, 66
- Papini, G., 1969, "Gravity-induced electric fields in superconductors," Nuovo Cimento B 63, 549
- Rieger, T. J., 1970, "Gravitationally induced electric field in metals," Phys. Rev. B 2, 825
- Rostoker, N., 1952, "Interpretation of the electron-inertia experiments for metals with positive Hall coefficients," Phys. Rev. 88, 952
- Schrader, R., 1984, "On the electromagnetic response to gravitational waves," Phys. Lett. B 143, 421
- Shockley, W., 1952, "Interpretation of values for electrons in crystals," Phys. Rev. 88, 953
- Strnad, J., 1971, "The gravity-induced electric field," Contemp. Phys. 12, 187
- Tannhauser, D. S., 1968, "Concerning an experiment to measure the difference between gravitationally induced electric field near various metals," Phys. Rev. Lett. 20, 1123
- Tsidil'kovskii, I. M., 1975, "Electrons and holes in an intertialforce field," Sov. Phys. Usp. 18, 161
- Andreev, L. A., and Ya. Palige, 1964, "Change of the electron work function of molybdenum and tantalum upon cold deformation under ultrahigh vacuum conditions," Sov. Phys. Dok. 8, 1003
- Beams, J. W., 1968, "Potentials on rotor surfaces," Phys. Rev. Lett. 21, 1093
- Brown, C. R., J. B. Brown, E. Enga, and M. R. Halse, 1971, "Contact potential changes produced by very small stresses," J. Phys. D 4, 298
- Brown, S., and S. J. Barnett, 1952, "Carriers of electricity in metals exhibiting positive Hall coefficients," Phys. Rev. 87, 601
- Chow, R., and W. A. Tiller, 1984, "Deformation-induced work function changes in Cu single crystals I. Experiment," J. Appl. Phys. 55, 1339
- Craig, P. P., 1969, "Direct obervations of stress-induced shifts in contact potentials," Phys. Rev. Lett. 22, 700
- Craig, P. P., and V. Radeka, 1970, "Stress dependence of contact potential: the AC Kelvin method," Rev. Sci. Instrum. 41, 258
- Enga, E., 1974, "Strain induced potentials on a `dirty' polycrystalline surface," Can. J. Phys. 52, 708
- French, S. H., and J. W. Beams, 1970, "Contact-potential changes produced on metal surfaces by tensile stresses," Phys. Rev. B 1, 3300
- Gerbshtein, Yu. M., E. I. Nikulin, and F. A. Chudnovskii, 1983, "Pressure-induced emf in a metal-superionic-metal system," Sov. Phys. Solid State 25, 659
- Goldstein, Y., M. Cohen, and B. Abeles, 1970, "Strain-induced electric fields in superconducting aluminum," Phys. Rev. Lett. 25, 1571
- Guptill, E. W., 1971, "Electric field near an accelerating copper tube," Can. J. Phys. 49, 3150
- Hendricks, J. B., C. A. King, and H. E. Rorschach, 1971, "Magnetization by rotation: the Barnett effect in a superconductor," J. Low Temp. Phys. 4, 209
- Kettering, C. F., and G. G. Scott, 1944, "Inertia of the carrier of electricity in copper and aluminum," Phys. Rev. 66, 257
- Kompan, M. E., 1983, "Gravity-induced emf in superionic conductor Rb," JETP Lett. 37, 327
- Leners, K. H., R. J. Kearney, and M. J. Dresser, 1972, "Stress-dependent contact potential in copper," Phys. Rev. B 6, 2943
- Mints, R. I., V. P. Melekhin, and M. B. Partenskii, 1975, "Deformation-induced change in the work function of electrons," Sov. Phys. Solid State 16, 2330
- Rzchowski, M. S., and W. M. Fairbank, 1984, "Spatial resolution of low temperature surface potentials," in Proceedings of the 17th International Conference on Low Temperature Physics, edited by U. Eckern, A. Schmid, W. Weber, and H. Wühl (Elsevier, Amsterdam), p. 1361
- Schumacher, J. C., W. E. Spicer, and W. A. Tiller, 1972, "Strain dependence of Cu work function," talk at annual meeting of the American Physical Society, 31 January-3 February 1972, San Francisco
- Scott, G. G., 1951, "Inertia of the carrier of electricity in cadmium," Phys. Rev. 83, 656
- Tinder, R. F., 1968, "Stress dependence of ion and thermionic emission," J. Appl. Phys. 39, 355
- Tolman, R. C., S. Karrer, and E. W. Guernsey, 1923, "Further experiments on the mass of the electric carrier in metals," Phys. Rev. 21, 525
- Tolman, R. C., and L. M. Mott-Smith, 1926, "A further study of the inertia of the electric carrier in copper," Phys. Rev. 28, 794
- Tolman, R. C., and T. D. Stewart, 1916, "The electromotive force produced by the acceleration of metals," Phys. Rev. 8, 97
- Tolman, R. C., and T. D. Stewart, 1917, "The mass of the electric carrier in copper, silver and aluminum," Phys. Rev. 9, 164
- Witteborn, F. C., and M. R. Pallesen, 1967, "Experimental upper limit to differences between the gravitationally induced electric fields near various metals," Phys. Rev. Lett. 19, 1123
- Beverini, N., L. Bracci, and G. Torelli, 1986, "Stochastic cooling of charged particles in a Penning trap," Europhys. Lett. 1, 435
- Darling, T. W., and G. I. Opat, 1987, "A possible explanation for rapid changes in the time-of-flight distribution in the Witteborn-Fairbank experiment" (University of Melbourne), Report No. UM-P-87/45
- Gillies, G. T., 1990, "Resource Letter MNG-1: Measurements of Newtonian gravitation," Am. J. Phys. 58, 525
- Gron, O., and E. Eriksen, 1989, "Translational inertial dragging," Gen. Relativ. Gravit. 21, 105
- Jain, A. K., J. E. Lukens, and J. S. Tsai, 1987, "Test for relativistic gravitational effect on charged particles," Phys. Rev. Lett. 58, 1165
- Lesche, B., 1989, "A test of the principle of equivalence for the second generation," Gen. Relativ. Gravit. 21, 623
- Matz, D., and F. A. Faempffer, 1958, "Some considerations on the gravitational mass of antimatter," Bull. Am. Phys. Soc. Ser. II 3, 317
- Schrader, R., 1984, "On the electromagnetic response to gravitational waves," Phys. Lett. B 143, 421
- Silverman, M. P., 1987, "Gravitationally induced quantum interference effects on fermion antibunching," Phys. Lett. A 122, 226
- Torelli, G., and N. Beverini, 1986, "Antiproton traps and related experiments," in Nuclear and Particle Physics at Intermediate Energies with Hadrons, edited by T. Bressani and G. Pauli (Societa Italiana di Fisica, Bologna)
- Worden, P. W., Jr., and C. W. F. Everitt, 1982, "Resource Letter GI-1: Gravity and Inertia," Am. J. Phys. 50, 494
- Brown, R. E., 1986, "Proposed measurement of the gravitational acceleration of the antiproton," LANL Report LA-UR-86-1806
- Levin, D. S., 1986, "A Low Temperature Search for Surface Charge Anomalies on Oxidized Copper," M.Sc. thesis (San Francisco State University)
- Lockhart, J. M., 1976, "Experimental Evidence for a Temperature-Dependent Surface Shielding Effect inside a Copper Tube," Ph.D. thesis (Stanford University)
- Lockhart, J. M., F. C. Witteborn, and W. M. Fairbank, 1975, "Observation of a temperature-dependent shielding effect inside a copper tube," in Proceedings of the 14th International Conference on Low Temperature Physics, edited by M. Krusius and M. Vuorio (Elsevier, New York), p. 274
- Opat, G. I., J. V. Hajnal, and S. J. Wark, 1988, "Gravitational experiments with beams of particles of non-zero rest mass," in Proceedings of the 5th Marcel Grossmann Meeting on General Relativity, edited by D. G. Blair and M. J. Buckingham (World Scientific, Singapore), p. 1583
- Pipes, P. B., and D. H. Darling, 1975, "Temperature dependence of contact potential in superconducting niobium," in Proceedings of the 14th International Conference on Low Temperature Physics, edited by M. Krusius and M. Vuorio (Elsevier, New York), p. 571
- Rigby, K. W., 1986, "Surface Cyclotron Resonance and Anomalies in the Surface Impedance of Metals at Low Temperatures," Ph.D. thesis (Stanford University)
- Rigby, K. W., and W. M. Fairbank, 1984, "Anomalies in the microwave surface impedance of copper and aluminium," in Proceedings of the 17th International Conference on Low Temperature Physics, edited by U. Eckern, A. Schmid, W. Weber, and H. Wühl (Elsevier, Amsterdam), p. 1363
- Witteborn, F. C., and W. M. Fairbank, 1968, "Experiments to determine the force of gravity on single electrons and positrons," Nature 220, 436
- Witteborn, F. C., L. V. Knight, and W. M. Fairbank, 1965, "Use of low-temperature techniques to measure gravitational forces on charged particles," in Proceedings of the 9th International Conference on Low Temperature Physics, edited by J. G. Daunt, D. O. Edwards, F. J. Milford, and M. Yaqub (Plenum, New York), p. 1248
- Witteborn, F. C.L. V. KnightW. M. FairbankAbramowicz, M., and I. A. Stegun, 1965, Eds., Handbook of Mathematical Functions (Dover, New York)
- Adelberger, E. G., S. W. Stubbs, B. R. Heckel, Y. Su, H. E. Swanson, G. Smith, J. H. Gundlach, and W. F. Rogers, 1990, Phys. Rev. D 42, 3267
- Ashcroft, N. W., and N. D. Mermin, 1976, Solid State Physics (Holt, Rinehart, and Winston, New York)
- Bardeen, J., 1936, Phys. Rev. 49, 653
- Bardeen, J., 1982, talk for "Near Zero Conference," Stanford, March 25, 1982, published in Near Zero: New Frontiers in Physics, edited by C. W. F. Everitt (Freeman, San Francisco, 1987)
- Beverini, N., J. H. Billen, B. E. Bonner, L. Bracci, R. E. Brown, L. J. Campbell, D. A. Church, K. R. Crandall, D. J. Ernst, A. L. Ford, T. Goldman, D. B. Holtkamp, M. H. Holzscheiter, S. D. Howe, R. J. Hughes, M. V. Hynes, N. Jarmie, R. A. Kenefick, N. S. P. King, V. Lagomarsino, G. Manuzio, M. M. Nieto, A. Picklesimer, R. M. Thaler, G. Torelli, T. P. Wangler, M. Weiss, and F. C. Witteborn, 1986, CERN Proposals CERN/PSCC/86-2, PSCC/P94 and CERN/PSCC/86-26, PSCC/M260, and LANL Report No. LA-UR-86-260
- Bondi, H., 1957, Rev. Mod. Phys. 29, 423
- Boyer, T. H., 1974, Phys. Rev. A 9, 68
- Boynton, P. E., D. Crosby, P. Ekstrom, and A. Szumilo, 1987, Phys. Rev. Lett. 59, 1385
- Braginsky, V. B., and V. I. Panov, 1971, Sov. Phys. JETP 34, 464
- Brown, R. E., J. B. Camp, and T. W. Darling, 1990, in Application of accelerators in research and industry, Proceedings of the 11th International Conference, Denton, Texas, 5-8 November, 1990, edited by H. H. Anderson and S. T. Picraux (Nucl. Instrum. Methods Phys. Res., Sec. B, 56/57, Part 1, p. 480)
- Cabrera, N., and N. F. Mott, 1949, Rep. Prog. Phys. 12, 163
- Camp, J. B., T. W. Darling, and R. E. Brown, 1991, J. Appl. Phys. 69, 7126
- Darling, T. W., 1989, "Electric fields on metal surfaces at low temperatures," Ph.D. thesis (University of Melbourne, Australia)
- Davis, T. J., 1987, "Electromagnetic effects of accelerated matter," Ph.D. thesis (University of Melbourne, Australia)
- Davis, T. J., and G. I. Opat, 1988, Class. Quantum Grav. 5, 1011
- Delchar, T. A., 1971, Surf. Sci. 27, 11
- Dessler, A. J., F. C. Michel, H. E. Rorschach, and G. T. Trammell, 1968, Phys. Rev. 168, 737
- de Waele, A. Th. A. M., R. De Bruyn Ouboter, and P. B. Pipes, 1973, Physica (Utrecht) 65, 587
- Eckhardt, D. H., C. Jekeli, A. R. Lazarewicz, and A. J. Romaides, 1988, Phys. Rev. Lett. 60, 2567
- Fairbank, W. M., F. C. Witteborn, J. M. J. Madey, and J. M. Lockhart, 1974, in Experimental Gravitation, edited by B. Bertotti (Academic, New York), p. 310
- Fischbach, E., D. Sudarsky, A. Szafer, C. Talmadge, and S. H. Aronson, 1986, Phys. Rev. Lett. 56, 3
- Free, J. U., C. D. Dermer, and P. B. Pipes, 1979, Phys. Rev. B 19, 631
- Gold, A. V., D. K. C. MacDonald, and W. B. Pearson, 1960, Philos. Mag. 5, 765
- Goldman, T., R. J. Hughes, and M. M. Nieto, 1986, Phys. Lett. B 171, 217
- Goldman, T., R. J. Hughes, and M. M. Nieto, 1987, Phys. Rev. D 36, 1254
- Goldman, T., and M. M. Nieto, 1982, Phys. Lett. B 112, 437
- Good, M. L., 1961, Phys. Rev. 121, 311
- Hanni, R. S., and J. M. Madey, 1978, Phys. Rev. B 17, 1976
- Heine, V., and C. H. Hodges, 1972, J. Phys. C 5, 225
- Henderson, J. R., and W. M. Fairbank, 1984, in Proceedings of the 17th International Conference on Low Temperature Physics (LT-17, Part II), Universität Karlsruhe and Kernforschungszentrum Karlsruhe, August, 1984, edited by U. Eckern, A. Schmid, W. Weber, and H. Wühl (Elsevier, Amsterdam), p. 1359
- Herrmann, G., and S. Wagener, 1951, The Oxide-Coated Cathode, Vol. II (Chapman and Hall, London)
- Herring, C., 1968, Phys. Rev. 171, 1361
- Herring, C., and M. H. Nichols, 1949, Rev. Mod. Phys. 21, 185
- Hölzl, J., and F. K. Schulte, 1979, in Solid Surface Physics, Springer Tracts in Modern Physics Vol. 85, edited by G. Höhler (Springer-Verlag, Berlin), p. 1
- Hutson, A. R., 1978, Phys. Rev. B 17, 1934
- Jackson, J. D., 1975, Classical Electrodynamics, 2nd ed. (Wiley, New York)
- Kittel, C., 1976, Introduction to Solid State Physics, 5th ed. (Wiley, New York)
- Kogan, Sh. M., 1972, Sov. Phys. Usp. 14, 658
- Kolb, E. W., and M. S. Turner, 1983, Annu. Rev. Nucl. Part. Sci. 33, 645
- Lang, N. D., and W. Kohn, 1971, Phys. Rev. B 3, 1215
- Lee, T. J., B. J. Hopkins, and B. H. Blott, 1969, J. Appl. Phys. 40, 3825
- Lockhart, J. M., 1976 "Experimental evidence for a temperature-dependent surface shielding effect inside a copper tube," Ph.D. thesis (Stanford University)
- Lockhart, J. M., F. C. Witteborn, and W. M. Fairbank, 1977, Phys. Rev. Lett. 38, 1220
- Lockhart, J. M., F. C. Witteborn and W. M. Fairbank, 1991, Phys. Rev. Lett. 67, 283
- Lundqvist, S., and N. H. March, 1983, Theory of the Inhomogeneous Electron Gas (Plenum, New York)
- Macrae, K. I., and R. J. Riegert, 1984, Nucl. Phys. B 244, 513
- Maris, H. J., 1974, Phys. Rev. Lett. 33, 1177 ibid.33, 1594(E)
- Moorhead, G. F., 1991, "Acceleration induced electromotive force," Ph.D. thesis (University of Melbourne, Australia)
- Morrison, P., 1958, Am. J. Phys. 26, 358
- Morrison, P., and T. Gold, 1957, Essays on Gravity (Gravity Research Foundation, New Boston, NH)
- Nieto, M. M., and T. Goldman, 1991, Phys. Rep. 205, 221
- Nieto, M. M., T. Goldman, and R. J. Hughes, 1988, Phys. Rev. D 38, 2937
- Ohanian, H. C., 1977, Am. J. Phys. 45, 903
- Opat, G. I., G. F. Moorhead, and F. Rossi, 1990, University of Melbourne Report UM-P-90/62
- Parker, J. H., and R. W. Warren, 1962, Rev. Sci. Instrum. 33, 948
- Perdew, J. P., and Y. Wang, 1988, Phys. Rev. B 38, 12228
- Peshkin, M., 1968, Ann. Phys. (N.Y.) 46, 1
- Peshkin, M., 1969, Phys. Lett. A 29, 181
- Roll, P. G., R. Krotkov, and R. H. Dicke, 1964, Ann. Phys. (N.Y.) 26, 442
- Rose, B. A., 1933, Phys. Rev. 44, 585
- Rossi, F., 1991, "Gravity and strain induced potentials in metals," Ph.D. thesis (University of Melbourne, Australia)
- Rzchowski, M. S., and J. R. Henderson, 1988, Phys. Rev. A 38, 4622
- Rzchowski, M. S., K. W. Rigby, and W. M. Fairbank, 1987, Jpn. J. Appl. Phys. 26, Suppl. 26-3, 651
- Sakurai, J. J., 1967, Advanced Quantum Mechanics (Addison-Wesley, New York)
- Scherk, J., 1979, Phys. Lett. B 88, 265
- Schiff, L. I., 1958, Phys. Rev. Lett. 1, 254
- Schiff, L. I., 1970, Phys. Rev. B 1, 4649
- Schiff, L. I., and M. V. Barnhill, 1966, Phys. Rev. 151, 1067
- Shegelski, M. R. A., 1982, "A simple model for studying the gravitationally induced electric field inside a metal," M.Sc. thesis (University of British Columbia)
- Shott, M., and A. J. Walton, 1977, Phys. Lett. A 60, 63
- Smith, J. R., J. G. Gay, and F. J. Arlinghaus, 1980, Phys. Rev. B 21, 2201
- Stacey, F. D., G. J. Tuck, G. I. Moore, S. C. Holding, B. D. Goodwin, and R. Zhou, 1987, Rev. Mod. Phys. 59, 157
- Thieberger, P., 1987, Phys. Rev. Lett. 58, 1066
- Trammell, G. T., and H. E. Rorschach, 1970, Phys. Rev. B 2, 4761
- von Eötvös, R., D. Pekar, and E. Fekete, 1922, Ann. Phys. (Leipzig) 68, 11
- von Eötvös, R.D. PekarE. FeketeWeast, R. C., 1980, Ed., C.R.C. Handbook of Physics and Chemistry, 60th ed. (Chemical Rubber, Boca Raton)
- Wigner, E., and J. Bardeen, 1935, Phys. Rev. 48, 84
- Will, C. M., 1984, Phys. Rep. 113, 345
- Witteborn, F. C., 1965, "Free fall experiments with negative ions and electrons," Ph.D. thesis (Stanford University)
- Witteborn, F. C., and W. M. Fairbank, 1967, Phys. Rev. Lett. 19, 1049
- Witteborn, F. C., and W. M. Fairbank, 1977, Rev. Sci. Instrum. 48, 1
- Witteborn, F. C., J. M. Lockhart, and W. M. Fairbank, 1988, private communication