Heavy <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>c</mi><mrow><mrow><mover><mrow><mi>c</mi></mrow><mrow><mi>¯</mi></mrow></mover></mrow></mrow></math></span> and <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>b</mi><mrow><mrow><mover><mrow><mi>b</mi></mrow><mrow><mi>¯</mi></mrow></mover></mrow></mrow></math></span> quarkonium states and unitarity effects

K. Heikkilä; N. A. Törnqvist; Seiji Ono

doi:10.1103/PhysRevD.29.110

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Heavy $c \bar{c}$ and $b \bar{b}$ quarkonium states and unitarity effects

K. Heikkilä and N. A. Törnqvist

Seiji Ono^*

Department of High Energy Physics, University of Helsinki, 00170 Helsinki 17, Finland

Institut für Theoretische Physik der Rheinisch-Westfälschen Techischen Hochschule Aachen, 51 Aachen, West Germany

^*Present address: Laboratoire de Physique Théorique et Hautes Energies, Orsay, France.

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Phys. Rev. D 29, 110 – Published 1 January, 1984Erratum Phys. Rev. D 29, 2136 (1984)

DOI: https://doi.org/10.1103/PhysRevD.29.110

Abstract

We construct a unitarized quarkonium model which uses the quark-pair-creation model for hadronic vertex functions. The mass shifts and mixings induced by $D \bar{D}$ , $F \bar{F}$ , $D {\bar{D}}^{*}$ , etc., loop diagrams are calculated. These improve in particular the fit to the resonances such as $ψ (1 D)$ and $ϒ (4 S)$ which are strongly affected by the first threshold. When comparing the leptonic widths with experiment the unitarized model gives considerably better agreement compared to single-channel $Q \bar{Q}$ potential models. The improvement is partly because of the mixing between different excitations induced by hadronic loops, and partly because of the fact that the wave functions (at the origin) are modified compared to nonunitarized models.

Erratum

Erratum: Heavy $c \bar{c}$ and $b \bar{b}$ quarkonium states and unitarity effects

K. Heikkilä, N. A. Törnqvist, and Seiji Ono

Phys. Rev. D 29, 2136 (1984)

References (38)

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S. Ono, Z. Phys. C 8, 7 (1981)
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A. Martin, Phys. Lett. 100B, 511 (1981)
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W. Buchmüller and S.-H.H. Tye, Phys. Rev. D 24, 132 (1981)
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Omitted endnote
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[c1] J. J. Aubert et al., Phys. Rev. Lett. 33, 1404 (1974) J. E. Augustin et al., ibid. 33, 1406 (1974) G. S. Abrams et al., ibid. 33, 1453 (1974)

[c2] J.-M. Richard, Z. Phys. C 4, 211 (1980)

[c3] Particle Data Group, M. Roos et al., Phys. Lett. 111B, 1 (1982)

[c4] S. Ono, Phys. Rev. D 20, 2975 (1979)

[c5] S. Ono, Z. Phys. C 8, 7 (1981)

[c6] E. Eichten, K. Gottfried, T. Kinoshita, K. D. Lane, and T.-M. Yan, Phys. Rev. D 17, 3090 (1978) ibid.21, 313(E) (1980)

[c7] A. Martin, Phys. Lett. 100B, 511 (1981)

[c8] L. Richardson, Phys. Lett. 82B, 272 (1979)

[c9] W. Buchmüller and S.-H.H. Tye, Phys. Rev. D 24, 132 (1981)

[c10] G. Bhanot and S. Rudaz, Phys. Lett. 78B, 119 (1978)

[c11] H. Krasemann and S. Ono, Nucl. Phys. B154, 283 (1979)

[c12] R. D. Schamberger, in Proceedings of the 1981 International Symposium on Lepton and Photon Interactions at High Energies, Bonn, edited by W. Pfeil (Physikalisches Institut, Universität Bonn, Bonn, 1981)

[c13] E. Eichten, K. Gottfried, T. Kinoshita, K. D. Lane, and T.-M. Yan, Phys. Rev. D 21, 203 (1980)

[c14] E. van Beveren, C. Dullemond, and G. Rupp, Phys. Rev. D 21, 772 (1980) E. van Beveren, Z. Phys. C 17, 135 (1983) E. van Beveren, G. Rupp, T. A. Rijken, and C. Dullemond, Phys. Rev. D 27, 1527 (1983)

[c15] S. Jacobs, K. J. Miller, and M. G. Olsson, Phys. Rev. Lett. 50, 1181 (1983)

[c16] G. Fogli and G. Preparata, Nuovo Cimento 48A, 235 (1978) A. C. A. Maciel and J. Paton, Nucl. Phys. B181, 277 (1981)

[c17] N. A. Törnqvist, Ann. Phys. (N.Y.) 135, 1 (1978) M. Roos and N. A. Törnqvist, Z. Phys. C 5, 205 (1980) N. Törnqvist, Phys. Rev. Lett. 49, 624 (1982) Nucl. Phys. B203, 268 (1982)

[c18] A. Le Yaouanc, L. Oliver, O. Pene, and J.-C. Raynal, Phys. Rev. D 8, 2223 (1973)

[c19] S. Ono, Phys. Rev. D 23, 1118 (1981)

[c20] I. I. Bigi and S. Ono, Nucl. Phys. B189, 229 (1981)

[c21] S. Ono, Phys. Rev. D 26, 3266 (1982)

[c22] S. Ono and O. Pene, Report No. LPTHE Orsay, 82/36 (unpublished)

[c23] M. Chaichian and R. Kögerler, Ann. Phys. (N.Y.) 124, 61 (1980)

[c24] J. P. Ader, B. Bonnier, and S. Sood, Nuovo Cimento 68A, 1 (1982)

[c25] C. Edwards et al., Phys. Rev. Lett. 48, 70 (1982)

[c26] D. L. Scharre, in Proceedings of the 1981 International Symposium on Lepton and Photon Interactions at High Energies, Bonn ([12])

[c27] A. Martin and J.-M. Richard, Phys. Lett. 115B, 323 (1982)

[c28] Omitted endnote

[c29] A. Le Yaouanc, L. Oliver, O. Pene, and J.-C. Raynal, Phys. Lett. 72B, 57 (1977)

[c30] N. A. Törnqvist, Lett. Nuovo Cimento 46A, 633 (1978) Phys. Lett. 69B, 193 (1977)

[c31] D. B. Lichtenberg and J. G. Wills, Nuovo Cimento 47A, 483 (1978)

[c32] G. Fogleman, D. B. Lichtenberg, and J. G. Wills, Lett. Nuovo Cimento 26, 369 (1979)

[c33] R. A. Bertlmann and A. Martin, Nucl. Phys. B168, 111 (1980)

[c34] R. A. Bertlmann and S. Ono, Z. Phys. C 10, 37 (1981)

[c35] A. Le Yaounac, L. Oliver, O. Pene, and J.-C. Raynal, Phys. Rev. D 8, 2223 (1973)

[c36] W. B. Kaufmann and R. J. Jacob, Phys. Rev. D 10, 1051 (1974)

[c37] A. Bradly and D. Robson, Z. Phys. C 4, 67 (1980)

[c38] P. M. Zerwas (private communication)

Physical Review D

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Heavy $c \bar{c}$ and $b \bar{b}$ quarkonium states and unitarity effects

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Erratum: Heavy $c \bar{c}$ and $b \bar{b}$ quarkonium states and unitarity effects

References (38)

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Heavy cc¯ and bb¯ quarkonium states and unitarity effects

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Erratum

Erratum: Heavy cc¯ and bb¯ quarkonium states and unitarity effects

References (38)

Heavy $c \bar{c}$ and $b \bar{b}$ quarkonium states and unitarity effects

Erratum: Heavy $c \bar{c}$ and $b \bar{b}$ quarkonium states and unitarity effects