<i>B</i>-meson production between the Υ(4S) and Υ(6S) and the possibility of detecting B<i>-</i>B¯ mixing

Seiji Ono; A. I. Sanda; N. A. Törnqvist

doi:10.1103/PhysRevD.34.186

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B-meson production between the Υ(4S) and Υ(6S) and the possibility of detecting B-B¯ mixing

Seiji Ono

A. I. Sanda

N. A. Törnqvist

Institute of Physics, University of Tokyo, Komaba, Meguro-ku, Tokyo 153, Japan

Rockefeller University, New York, New York 10021

Department of Physics, bo Akademi, 20500 bo, Finland and Department of High Energy Physics, University of Helsinki, 00170 Helsinki 17, Finland

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Phys. Rev. D 34, 186 – Published 1 July, 1986

DOI: https://doi.org/10.1103/PhysRevD.34.186

Abstract

A study is made of the quark-pair-creation model, the quarkonium-hybrid mixing model, and the unitarized quark model in connection with their ability to reproduce R≡( $σ_{had / σ_{μ μ}}$ ) between Υ(4S) and Υ(6S) and at the same time be consistent with all known facts about Γ and ψ systems. Models which passed the above test are used to compute all partial cross sections for pair production of B mesons. This result is used to estimate the rate for the $B_{d}$ -B $¯_{d}$ and $B_{s}$ -B $¯_{s}$ mixing effect as a function of the c.m. energy. Our result can be eventually used to search for new physics beyond the standard model.

References (28)

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By the standard model we mean SU(2)timesU(1) electroweak gauge theory with a weak mixing angle governed by the Kobayashi-Maskawa matrix.
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J. Lee-Franzini, in $B^{0}$ $\bar{B}$ ${}^{0}$ Mixing, proceedings of the Fifth Moriond Workshop, La Plagne, France, 1985, edited by J. Tran Thanh Van (Editions Frontie`res, Gif-sur-Yvette, 1985).
S. Ono, A. I. Sanda, N. A. Törnqvist and J. Lee-Franzini, Phys. Rev. Lett. 55, 2938 (1985).
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[c1] J. K. Black et al., Phys. Rev. Lett. 54, 1628 (1985); R. H. Bernstein et al., ibid. 54, 1631 (1985).

[c2] By the standard model we mean SU(2)timesU(1) electroweak gauge theory with a weak mixing angle governed by the Kobayashi-Maskawa matrix.

[c3] A. Pais and S. B. Treiman, Phys. Rev. D 12, 2744 (1975); L. B. Okun, V. I. Zakharov and B. M. Pontecorvo, Lett. Nuovo Cimento 13, 218 (1975); J. Ellis, M. K. Gaillard and D. V. Nanopoulos, Nucl. Phys. B109, 213 (1976); A. Ali and Z. Z. Aydin, ibid. B148, 165 (1978).

[c4] A. B. Carter and A. I. Sanda, Phys. Rev. D 23, 1567 (1981); I. I. Bigi and A. I. Sanda, Nucl. Phys. B193, 123 (1981); Comments Nucl. Part. Phys. 14, 149 (1985).

[c5] J. Lee-Franzini, in $B^{0}$ $\bar{B}$ ${}^{0}$ Mixing, proceedings of the Fifth Moriond Workshop, La Plagne, France, 1985, edited by J. Tran Thanh Van (Editions Frontie`res, Gif-sur-Yvette, 1985).

[c6] S. Ono, A. I. Sanda, N. A. Törnqvist and J. Lee-Franzini, Phys. Rev. Lett. 55, 2938 (1985).

[c7] D. Loveless et al.., in Proceedings of DPF workshop on p bar p Options for the Super Collider, Chicago, 1984. edited by J. Plicher and A. R. White (Physics Department, University of Chicago, Chicago, 1984).

[c8] D. M. J. Lovelock et al., Phys. Rev. Lett. 54, 377 (1985).

[c9] D. Besson et al., Phys. Rev. Lett. 54, 381 (1985).

[c10] S. Ono, Orsay, Report No. LPTHE 83/32, 1983 (unpublished).

[c11] S. Ono, Z. Phys. C 26, 307 (1985).

[c12] S. Ono, in Proceedings of the XIXth Rencontre de Moriond, La Plagne, France, 1984, edited by J. Tran Thanh Van (Editions Frontie`res, Gif-sur-Yvette, 1984); and Ref. 5.

[c13] K. Heikkilä, S. Ono and N. A. Törnqvist, Phys. Rev. D 29, 110 (1984).

[c14] N. A. Törnqvist, Acta Phys. Pol. B16, 503 (1985).

[c15] N. A. Törnqvist, Phys. Rev. Lett. 53, 878 (1984).

[c16] A. J. Buras, W. Slominski and H. Steger, Nucl. Phys. B245, 369 (1984); see also M. B. Gavela et al., Phys. Lett. 154B, 147 (1985); I. I. Bigi, Aachen Report No. PITHA 85/10, 1985 (unpubished). For bag parameters $β_{s}$ and $β_{d}$ see I. I. Bigi and A. I. Sanda Phys. Rev. D 29, 1393 (1984) and also F. Wagner, Report No. MPI PAE PTH 89/83 (unpublished). In the latter reference Wagner discusses the possibility that beta is larger than the value predicted by conventional potential models.

[c17] A. Le Yaouanc, L. Oliver, O. Pe`ne and J.-C. Raynal, Phys. Rev. D 8, 2223 (1973).

[c18] I. I. Bigi and S. Ono, Nucl. Phys. B189, 229 (1981).

[c19] P. Hasenfratz et al., Phys. Lett. 22B, 299 (1980).

[c20] T. Kitazoe et al., Z. Phys. C 24, 143 (1984).

[c21] L. J. Reinders, in Proceedings of the 1985 Europhysics Conference on High Energy Physics, Bari, Italy, edited by L. Nitti and G. Preparata (unpublished).

[c22] K. Han et al., Phys. Rev. Lett. 55, 36 (1985).

[c23] C. Mahaux and H. A. Wiedenmuller, Shell Model Approach to Nuclear Reactions (North-Holland, Amsterdam, 1969).

[c24] E. Eichten, Phys. Rev. D 22, 1819 (1980); E. Eichten et al., ibid. 17, 3090 (1978).

[c25] S. Ono and O. Pe`ne, Z. Phys. C 21, 109 (1983).

[c26] A. Le Yaouanc, L. Oliver, S. Ono, O. Pe`ne and J.-C. Raynal, Z. Phys. C 28, 309 (1985).

[c27] E. Rice et al., Phys. Rev. Lett. 48, 906 (1982).

[c28] A. I. Sanda, Rockefeller University Report No. RU86/B/119, 1985 (unpublished).

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B-meson production between the Υ(4S) and Υ(6S) and the possibility of detecting B-B¯ mixing

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