Article
Full Access
Resonances in nuclear, atomic, and molecular physics—an introduction with some examples
Nils Elander,
Nils Elander
Research Institute of Physics, Frescativägen 24, S-104 05 Stockholm, Sweden
Search for more papers by this authorNils Elander,
Nils Elander
Research Institute of Physics, Frescativägen 24, S-104 05 Stockholm, Sweden
Search for more papers by this authorAbstract
Examples from music and nuclear, as well as atomic and molecular, physics are given to introduce and illustrate the resonance concept. Some fundamental concepts of scattering theory such as the differential and the total cross section are presented. The concept of the collision complex is illustrated with a light particle scattering reaction in nuclear physics. The concept of channels is introduced, and this formalism (which is so far empirical in nature) is dressed in the language of quantum mechanics. Finally I show that our descriptions of phenomena in nuclear physics can also be used in atomic and molecular physics.
Bibliography
- 1 J. Ling, Svensk Folkmusik 4th ed., (Bokförlaget Prisma, Stockholm, 1974).
- 2 H. von Helmholz, Sensation of Ton., translated by A.J. Ellis (London, 1985).
- 3 J.W.S. Rayleigh, The Theory of Sound, 2nd ed. Macmillan, London 1894, Vol. I, The Theory of Sound, 2nd ed. 1896, Vol. II. Now available from Dover Publishers, New York.
- 4 C. Mahaux, in Resonances–Models and Phenomena, Lecture Notes in Physics, Vol. 211 S. Albeverrio, L.S. Ferreia, and L. Streit, Eds. (Springer-Verlag, Berlin, 1984).
- 5 E.G. Bilpack, in Isobaric Spin in Nuclear Physics, J.D. Fox and D. Robson, Eds. (Academic Press, New York, 1966), p. 235.
- 6
N. Bohr,
Nature
137,
344
(1937).
10.1038/137344a0 Google Scholar
- 7 G. Breit, Revs. Mod. Phys. 36, 1071 (1964).
- 8 G. Breit and E. Wigner, Phys. Rev. 49, 519 (1936).
- 9 P.W. Atkins, Molecular Quantum Mechanics, 2nd ed., (Oxford University Press, Oxford, 1983).
- 10 R. Jost, private communication.
- 11 M. Rittby, N. Elander, and E. Brändas, J. Math. Phys. (to be published).
- 12 G. Gamow, Z. Phys. 51, 204 (1928).
- 13 Aguilar and C. Combes, Comm. Math. Phys. 22, 269 (1971).
- 14 E. Balslev and C. Combes, Comm. Math. Phys. 22, 280 (1971).
- 15 B. Simon, Ann. Math. 97, 247 (1973).
- 16 C. van Winter, J. Math. Anal. Appl. 47, 633 (1974); [-] J. Math. Anal. Appl. 48, 368 (1974).
- 17 B. Simon, Phys. Lett. A71, 211 (1979).
- 18 J.D. Morgan and B. Simon, J. Phys. B14, L167 (1981).
- 19 M. Rittby, N. Elander, and E. Brändas, Chem. Phys. 87, 55 (1984); J. Turner and C. W. McCurdy, Chem. Phys. 71, 127 (1982); O. Atabek and R. Lefebvre, Chem. Phys. 56, 195 (1981); M. Rittby, N. Elander, E. Brändas, and A. Bárány, J. Phys. B17, L677 (1984).
- 20 M. Rittby, Thesis, University of Stockholm, 1985.
- 21 A. Lejeune and C. Mahux, Nucl. Phys. A145, 613 (1970).
- 22 E. Engdahl, E. Brändas, M. Rittby, and N. Elander, Phys. Rev. A, in press, 1987.
- 23 E. Brändas, private communication.
- 24 A. Cisnernos and H. V. MacIntosh, Int. J. Quantum Chem. 28, 135, 1985.
- 25 M. Garcia-Sucre and R. Lefebvre, Int. J. Quantum Chem. Symp. 20, 541, 1986.
- 26 C.K. Bocker, D.W. Miller, R.K. Adair, and H.H. Barschall, Phys. Rev. 84, 69 (1951).
- 27 J.L. Fowler and H.O. Cohn, Phys. Rev. 109, 89 (1958).
- 28 N. Cindro and D. Počanić, in Resonances–Models and Phenomena, Lecture Notes in Physics, Vol. 211, S. Albeverrio, L.S. Ferreia, and L. Streit, Eds. (Springer-Verlag, Berlin, 1984), p. 158.
- 29 E. Almqvist, D.A. Bromley, and J.A. Kuehner, Phys. Rev Lett. 4, 515 (1960).
- 30 B. Imanshi, Nucl. Phys. A125, 37 (1969).
- 31 W. Greiner and W. Scheid, J. Phys. (Paris) C6, 91 (1971).
- 32 P.D. Burrow, J.A. Michejda, and J. Comer, J. Phys. B9, 3255 (1976).
- 33 P. Krylstedt, M. Rittby, and E. Brändas, Int. J. Quantum Chem. Symp. 20, (1987); J. Phys. B, in press, 1987.
- 34 J.L. Dehmer, in Resonances in Electron-molecule Scattering, van der Waal's Complexes and Reactive Chemical Dynamics, D.G. Trulahr, Ed. (American Chemical Society, Washington, DC, 1984).
- 35 P. Krylstedt, N. Elander, and E. Brändas, Int. J. Quantum Chem. (in press).
- 36 H. Cederquist and S. Mannervik, J. Phys. B15, L807 (1982).
- 37 H. Cederquist, M. Kisielinski, and S. Mannervik, J. Phys B16, L479 (1983).
- 38 H. Cederquist, M. Kisielinski, S. Mannervik, and T. Andersen, J. Phys. B17, 1969 (1984); T. Andersen and S. Mannervik, Comm. At. Mol. Phys. 16, 185 (1985).
- 39 B.F. Davis and K.T. Chung, J. Phys. B17, 4295 (1984).
- 40 C.A. Nicolaides and G. Aspromallis, J. Phys. B16, L251 (1983).
- 41
R.K. Janev,
L.P. Presnyakov, and
V.P. Shevelko,:
Physics of Highly Charged Ions.,
Springer Series in Electrophysics,
Vol. 13
(Springer-Verlag, Berlin,
1985).
10.1007/978-3-642-69195-9 Google Scholar
- 42 A. Itoh, D. Schneider, T. Schneider, T.J.M. Zouros, G. Nolte, G. Schiwietz, and N. Stolterfort, Phys. Rev. A31, 684 (1985); N. Stolterfort, private communication.
- 43 G. Herzberg, Spectra of Diatomic Molecules (Van Nostrand Reinhold, New York, 1950).
- 44 P. Erman, in Specialist Periodical Report, Molecular Spectroscopy, R.F. Barrow, D.A. Long, and J. Sheridan, Eds. (The Chemical Society, 1979, London).
- 45 J. Delos, Rev. Mod. Phys. 53, 287 (1981).
- 46 A. Shutte, D. Bassi, F. Tommasini, and G. Scoles, Phys. Rev. Lett. 29, 979 (1972); J. Chem. Phys. 62, 600 (1975).
- 47 K.A. Köhler, R. Feltgren, and H. Pauly, Phys. Rev. A15, 1407 (1977).
- 48 W.C. Stwalley, J. Chem. Phys. 63, 3062 (1975).
- 49 L. Sillén, M. Rittby, N. Elander, and E. Brändas, J. Chem. Phys., to be submitted.
- 50 J.T. Mosley, in Photodissociation and Photoionization, K.P. Lawley, Ed. (John Wiley and Sons, New York, 1985), p. 251.
- 51 J. Brozozowski, P. Bunker, N. Elander, and P. Erman, Astrophys. J. 207, 414 (1976).
- 52 N. Elander, M. Hehenberger, and P. Bunker, Phys. Scr. 20, 631 (1979).
