Properties of Polarization Density Matrix in Regge-Pole Models

Manuel G. Doncel; Pierre Mery; Louis Michel; Pierre Minnaert; Kameshwar C. Wali

doi:10.1103/PhysRevD.7.815

Access by Xinjiang University

Properties of Polarization Density Matrix in Regge-Pole Models

Manuel G. Doncel^*, Pierre Mery^†, Louis Michel, Pierre Minnaert^‡, and Kameshwar C. Wali^§

Institut des Hautes Etudes Scientifiques, 91 - Bures sur Yvette, France

^*Permanent address: Departamento de Física Teórica; Universidad Autónoma de Barcelona Cerdanyola (Barcelona), Spain.
^†Permanent address: Centre de Physique Théorique, 31 chemin J. Aiguier 13 - Marseille 9°, France.
^‡Permanent address: Laboratoire de Physique Théorique, Université de Bordeaux I 33 - Talence, France.
^§Permanent address: Department of Physics, Syracuse University, Syracuse, N. Y. 13210.

PDF

Phys. Rev. D 7, 815 – Published 1 February, 1973

DOI: https://doi.org/10.1103/PhysRevD.7.815

Abstract

We study two-body (or quasi-two-body) parity-conserving reactions with unpolarized beam and target. From the general considerations of angular momentum and parity conservation we derive the structure of the density matrices of the final particles. This structure becomes conspicuous when one uses transversity quantization with a special reordering for the lines and columns. We study the predictions of a single Regge trajectory exchange model. We derive the consequences of reality and factorization of residue functions, and of parity conservation at each vertex. The results are summarized in two tables. For the cases of low-spin particles we give these results in a geometrical form. As an example we plot some experimental data on $Q$ -meson polarization.

References (11)

M. G. Doncel, L. Michel, and P. Minnaert, Nucl. Phys. B38, 477 (1972)
M. G. Doncel, L. Michel, and P. Minnaert: (a) "Polarization Density Matrix," issues 1, 2, and 3, to be published in a forthcoming book P. T. B. Reports No. 35, No. 37, and No. 44 (unpublished) at Laboratoire de Physique Théorique, Université de Bordeaux I, 33 - Gradignan (b) "Matrices Densité de Polarization," in Lectures at the 1970 Summer School of Gif sur Yvette, edited by R. Salmeron (Laboratoire de Physique, Ecole Polytechnique, Paris)
(a) B. Buschbeck, A. Fröhlich, M. Markytan, G. Otter, P. Schmid, A. Apostolakis, P. Michaelidis, E. Solomos, A. Stergiou, P. Theocharopoulos, T. Kalogeropoulos, E. Simopoulou, P. Tsilimigras, A. Vayaki-Seraphimidou, E. Zevgolatakos, C. Brankin, J. R. Fry, R. Matthews, H. Muirhead, and C. J. Onions, Nucl. Phys. B35, 511 (1971) (b) G. Ascoli, D. V. Brockway, L. Eisenstein, M. L. Ioffredo, U. E. Kruse, P. F. Schultz, C. Caso, G. Tomasini, P. Von Handel, P. Schilling, G. Costa, S. Ratti, P. Daronian, L. Mosca, A. E. Brenner, W. C. Harrison, D. Heyda, W. H. Johnson, Jr., J. K. Kim, M. E. Law, J. E. Mueller, B. M. Salzberg, L. K. Sisterson, T. F. Johnston, J. D. Prentice, N. R. Steenberg, T. S. Yoon, and J. T. Carroll, A. R. Erwin, R. Morse, B. Y. Oh, W. Robertson, and W. D. Walker, Phys. Rev. Letters 26, 929 (1971) (c) Aachen-Berlin-Bonn-CERN-Cracow-Heidelberg-London-Vienna Collaboration, Phys. Letters 34B, 160 (1971)
E. de Rafael, Ann. Inst. Henri Poincaré 5, 83 (1966)
A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton Univ. Press, Princeton, N. J., 1957)
J. D. Jackson, Rev. Mod. Phys. 42, 12 (1970)
J. P. Ader, M. Capdeville, G. Cohen-Tannoudji, and Ph. Salin, Nuovo Cimento 56A, 952 (1968)
G. A. Ringland and R. L. Thews, Phys. Rev. 170, 1569 (1968) R. L. Thews, ibid. 188, 2264 (1969)
Chan Hong-Mo, K. Kajantie, and G. Ranft, Nuovo Cimento 49A, 157 (1967)
A. Capella and G. Ranft, Nuovo Cimento 55A, 507 (1968) A. Capella, ibid. 56A, 701 (1968)
M. G. Doncel, Nuovo Cimento 52A, 617 (1967)

[c1] M. G. Doncel, L. Michel, and P. Minnaert, Nucl. Phys. B38, 477 (1972)

[c2] M. G. Doncel, L. Michel, and P. Minnaert: (a) "Polarization Density Matrix," issues 1, 2, and 3, to be published in a forthcoming book P. T. B. Reports No. 35, No. 37, and No. 44 (unpublished) at Laboratoire de Physique Théorique, Université de Bordeaux I, 33 - Gradignan (b) "Matrices Densité de Polarization," in Lectures at the 1970 Summer School of Gif sur Yvette, edited by R. Salmeron (Laboratoire de Physique, Ecole Polytechnique, Paris)

[c3] (a) B. Buschbeck, A. Fröhlich, M. Markytan, G. Otter, P. Schmid, A. Apostolakis, P. Michaelidis, E. Solomos, A. Stergiou, P. Theocharopoulos, T. Kalogeropoulos, E. Simopoulou, P. Tsilimigras, A. Vayaki-Seraphimidou, E. Zevgolatakos, C. Brankin, J. R. Fry, R. Matthews, H. Muirhead, and C. J. Onions, Nucl. Phys. B35, 511 (1971) (b) G. Ascoli, D. V. Brockway, L. Eisenstein, M. L. Ioffredo, U. E. Kruse, P. F. Schultz, C. Caso, G. Tomasini, P. Von Handel, P. Schilling, G. Costa, S. Ratti, P. Daronian, L. Mosca, A. E. Brenner, W. C. Harrison, D. Heyda, W. H. Johnson, Jr., J. K. Kim, M. E. Law, J. E. Mueller, B. M. Salzberg, L. K. Sisterson, T. F. Johnston, J. D. Prentice, N. R. Steenberg, T. S. Yoon, and J. T. Carroll, A. R. Erwin, R. Morse, B. Y. Oh, W. Robertson, and W. D. Walker, Phys. Rev. Letters 26, 929 (1971) (c) Aachen-Berlin-Bonn-CERN-Cracow-Heidelberg-London-Vienna Collaboration, Phys. Letters 34B, 160 (1971)

[c4] E. de Rafael, Ann. Inst. Henri Poincaré 5, 83 (1966)

[c5] A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton Univ. Press, Princeton, N. J., 1957)

[c6] J. D. Jackson, Rev. Mod. Phys. 42, 12 (1970)

[c7] J. P. Ader, M. Capdeville, G. Cohen-Tannoudji, and Ph. Salin, Nuovo Cimento 56A, 952 (1968)

[c8] G. A. Ringland and R. L. Thews, Phys. Rev. 170, 1569 (1968) R. L. Thews, ibid. 188, 2264 (1969)

[c9] Chan Hong-Mo, K. Kajantie, and G. Ranft, Nuovo Cimento 49A, 157 (1967)

[c10] A. Capella and G. Ranft, Nuovo Cimento 55A, 507 (1968) A. Capella, ibid. 56A, 701 (1968)

[c11] M. G. Doncel, Nuovo Cimento 52A, 617 (1967)

Physical Review D

Export citation

Export citation

Properties of Polarization Density Matrix in Regge-Pole Models

Abstract

References (11)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation