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Abstract:

We discuss how the analysis of the zeros of the functions introduced by Jost in 1946, acting individually or collectively, provides a comprehensive framework for describing resonances in single and multichannel collisions. In particular, we propose a generalization of the Wigner threshold law that copes with some deviations recently observed in opening reaction channels. We also pay special attention to the appearance of zeros of the s-wave Jost function in the fourth quadrant of the complex momentum plane, as analysed by Nussenzveig in 1959 but erroneously ruled out in following studies. © 2006 Elsevier Ltd. All rights reserved.

Registro:

Documento: Artículo
Título:Jost function description of elastic and few-body resonances
Autor:Macri, P.A.; Sánchez Plastic, F.; Barrachina, R.O.
Filiación:Instituto de Astronomía y Física del Espacio, Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Casilla de Correo 67, Suc. 28, 1428 Buenos Aires, Argentina
Centro Atómico Bariloche, Instituto Balseiro, Comisión Nacional de Energía Atómica (CNEA), R8402AGP S. C. de Bariloche, Argentina
Palabras clave:Jost functions; Resonances; Wigner threshold law; Elasticity; Numerical methods; Wave propagation; Jost function description; Multichannel collisions; Wigner threshold law; Resonance; article; chemical reaction; elasticity; error; mathematical computing; surface plasmon resonance; waveform
Año:2007
Volumen:76
Número:3
Página de inicio:504
Página de fin:507
DOI: http://dx.doi.org/10.1016/j.radphyschem.2005.11.036
Título revista:Radiation Physics and Chemistry
Título revista abreviado:Radiat. Phys. Chem.
ISSN:0969806X
CODEN:RPCHD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0969806X_v76_n3_p504_Macri

Referencias:

  • Barrachina, R.O., Macri, P.A., (2004) Few Body Syst., 34, p. 175
  • Jost, R., (1946) Physica, 12, p. 509
  • Jost, R., (1947) Helv. Phys. Acta, 20, p. 256
  • Jost, R., (1995) Das Märchen vom elfenbeinernen Turm, Reden und Aufsatze, , Springer, Berlin, Heidelberg
  • Leggett, A.J., (2001) Rev. Mod. Phys., 73, p. 307
  • Macri, P.A., Barrachina, R.O., (2003) Nucl. Instrum. Methods B, 205, p. 543
  • Nussenzveig, H.N., (1959) Nucl. Phys., 11, p. 499
  • Taylor, J.R., (1972) Scattering Theory: The Quantum Theory on Nonrelativistic Collisions, , Wiley, New York
  • Tolstikhin, O.I., Ostrovsky, V.I., Nakamura, N., (1998) Phys. Rev. A, 58, p. 2077
  • Weiner, J., Bagnato, V.S., Zilio, S., Julienne, P.S., (1999) Rev. Mod. Phys., 71, p. 1
  • Wigner, E.P., (1948) Phys. Rev., 73, p. 1002

Citas:

---------- APA ----------
Macri, P.A., Sánchez Plastic, F. & Barrachina, R.O. (2007) . Jost function description of elastic and few-body resonances. Radiation Physics and Chemistry, 76(3), 504-507.
http://dx.doi.org/10.1016/j.radphyschem.2005.11.036
---------- CHICAGO ----------
Macri, P.A., Sánchez Plastic, F., Barrachina, R.O. "Jost function description of elastic and few-body resonances" . Radiation Physics and Chemistry 76, no. 3 (2007) : 504-507.
http://dx.doi.org/10.1016/j.radphyschem.2005.11.036
---------- MLA ----------
Macri, P.A., Sánchez Plastic, F., Barrachina, R.O. "Jost function description of elastic and few-body resonances" . Radiation Physics and Chemistry, vol. 76, no. 3, 2007, pp. 504-507.
http://dx.doi.org/10.1016/j.radphyschem.2005.11.036
---------- VANCOUVER ----------
Macri, P.A., Sánchez Plastic, F., Barrachina, R.O. Jost function description of elastic and few-body resonances. Radiat. Phys. Chem. 2007;76(3):504-507.
http://dx.doi.org/10.1016/j.radphyschem.2005.11.036