Decay <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mfrac><mrow><mi>J</mi></mrow><mrow><mi>ψ</mi></mrow></mfrac><mo>→</mo><mi>φ</mi><mn></mn><mo>(</mo><mi>MM</mi><mo>)</mo><mn></mn></math></span> demands the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>f</mi></mrow><mrow><mn>0</mn></mrow></msub></mrow><mo>(</mo><mrow><msup><mrow><mi>S</mi></mrow><mrow><mo>*</mo></mrow></msup></mrow><mo>)</mo></math></span> be narrow

D. Morgan; M. R. Pennington

doi:10.1103/PhysRevD.48.5422

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Decay $\frac{J}{ψ} \to φ (MM)$ demands the $f_{0} (S^{*})$ be narrow

D. Morgan

M. R. Pennington

Particle Physics Department, Rutherford Appleton Laboratory, Chilton, Didcot, Oxon. OX11 0QX, United Kingdom

Centre for Particle Theory, University of Durham, Durham DH1 3LE, United Kingdom

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Phys. Rev. D 48, 5422 – Published 1 December, 1993

DOI: https://doi.org/10.1103/PhysRevD.48.5422

Abstract

The nature of $f_{0} (S^{*})$ is revealed by its pole structure in the complex energy plane. Data on $π π \to π π$ , $π π \to K \bar{K}$ , and $pp \to pp π π (K \bar{K})$ in the neighborhood of the $K \bar{K}$ threshold are described by unitary amplitudes with at least one nearby pole, which sits on sheet II. However, we reiterate that results on $\frac{J}{ψ} \to φ π π (K \bar{K})$ decay require an additional nearby pole on sheet III, forcing the $f_{0} (S^{*})$ to be narrow, in contradistinction to the very recent claims of Zou and Bugg.

References (18)

W. Beusch, Experimental Meson Spectroscopy (Columbia University Press, New York, 1970), p. 185 D. M. Binnie et al., Phys. Rev. Lett. 31, 1534 (1973)
M. Alston-Garnjost et al., Phys. Lett. 36B, 152 (1971) S. M. Flatté, ibid. 38B, 232 (1972)
L. Montanet, Rep. Prog. Phys. 46, 337 (1983) F. E. Close, ibid. 51, 833 (1988) M. R. Pennington, in Proceedings of the BNL Workshop on Glueballs, Hybrids and Exotic Mesons, Upton, New York, 1988, edited by S. U. Chung, AIP Conf. Proc. No. 185 (AIP, New York, 1989), p. 145 N. Isgur, in Hadron '89, Proceedings of the 3rd International Conference on Hadron Spectroscopy, Ajaccio, France, 1989, edited by F. Binon (Editions Frontières, Gif-sur-Yvette, 1989), p. 709 T. H. Burnett and S. R. Sharpe, Annu. Rev. Nucl. Part. Sci. 40, 327 (1990)
D. Morgan, Phys. Lett. 51B, 71 (1974)
N. Törnqvist, Phys. Rev. Lett. 49, 624 (1982)
R. L. Jaffe, Phys. Rev. D 15, 267 (1977)
J. Weinstein and N. Isgur, Phys. Rev. Lett. 48, 659 (1982) Phys. Rev. D 27, 588 (1983) ibid.41, 2236 (1990)
D. Morgan and M. R. Pennington, Phys. Rev. D 48, 1185 (1993)
B. Hyams et al., Nucl. Phys. B64, 134 (1973) G. Grayer et al., ibid. B75, 189 (1974) H. Becker et al., ibid. B151, 46 (1979)
W. Wetzel et al., Nucl. Phys. B115, 208 (1976) V. A. Polychronakos et al., Phys. Rev. D 19, 1317 (1979) D. Cohen et al., ibid. 22, 2595 (1980) A. Etkin et al., ibid. 25, 1786 (1982) R. S. Longacre et al., Phys. Lett. B 177, 223 (1986) , in Hadron '87, Proceedings of the 2nd International Conference on Hadron Spectroscopy, Tsukuba, Japan, 1987, edited by Y. Oyanagi (KEK Report No. 87-7, Tsukuba, 1988), p. 46 S. J. Lindenbaum and R. S. Longacre, Phys. Lett. B 274, 492 (1992)
T. Åkesson et al., Nucl. Phys. B264, 154 (1986) P. C. Cecil, thesis, Cavendish Laboratory, Cambridge, 1984 Rutherford Appleton Laboratory Report No. RALT-004, 1984 (unpublished)
A. Falvard et al., Phys. Rev. D 38, 2706 (1988)
U. Malik, in Strong Interactions and Gauge Theories, Proceedings of the XXIst Rencontre de Moriond, Les Arcs, France, 1986, edited by J. Tran Thanh Vanh (Editions Frontières, Gif-sur-Yvette, 1986), Vol. 2, p. 431 W. Lockman, in Hadron '89 [[3]], p. 109 (private communication)
B. S. Zou and D. V. Bugg, Phys. Rev. D 48, R3948 (1993)
K. L. Au, D. Morgan, and M. R. Pennington, Phys. Rev. D 35, 1633 (1987)
R. H. Dalitz and S. Tuan, Ann. Phys. (N.Y.) 10, 307 (1960)
F. Binon et al., Nuovo Cimento 78A, 313 (1983) ibid.80A, 363 (1984)
R. H. Dalitz, in Resonances—Models and Phenomena, Proceedings of the Workshop, Bielefeld, West Germany, 1984, edited by S. Albeverio , Lecture Notes in Physics Vol. 21 (Springer, New York, 1984), pp. 1-26 M. R. Pennington, in Plots, Quarks & Strange Particles, Proceedings of the Dalitz Conference, Oxford, England, 1990, edited by I. J. R. Aitchison (World Scientific, Singapore, 1991), pp. 66-107

[c1] W. Beusch, Experimental Meson Spectroscopy (Columbia University Press, New York, 1970), p. 185 D. M. Binnie et al., Phys. Rev. Lett. 31, 1534 (1973)

[c2] M. Alston-Garnjost et al., Phys. Lett. 36B, 152 (1971) S. M. Flatté, ibid. 38B, 232 (1972)

[c3] L. Montanet, Rep. Prog. Phys. 46, 337 (1983) F. E. Close, ibid. 51, 833 (1988) M. R. Pennington, in Proceedings of the BNL Workshop on Glueballs, Hybrids and Exotic Mesons, Upton, New York, 1988, edited by S. U. Chung, AIP Conf. Proc. No. 185 (AIP, New York, 1989), p. 145 N. Isgur, in Hadron '89, Proceedings of the 3rd International Conference on Hadron Spectroscopy, Ajaccio, France, 1989, edited by F. Binon (Editions Frontières, Gif-sur-Yvette, 1989), p. 709 T. H. Burnett and S. R. Sharpe, Annu. Rev. Nucl. Part. Sci. 40, 327 (1990)

[c4] D. Morgan, Phys. Lett. 51B, 71 (1974)

[c5] N. Törnqvist, Phys. Rev. Lett. 49, 624 (1982)

[c6] R. L. Jaffe, Phys. Rev. D 15, 267 (1977)

[c7] J. Weinstein and N. Isgur, Phys. Rev. Lett. 48, 659 (1982) Phys. Rev. D 27, 588 (1983) ibid.41, 2236 (1990)

[c8] D. Morgan and M. R. Pennington, Phys. Rev. D 48, 1185 (1993)

[c9] B. Hyams et al., Nucl. Phys. B64, 134 (1973) G. Grayer et al., ibid. B75, 189 (1974) H. Becker et al., ibid. B151, 46 (1979)

[c10] W. Wetzel et al., Nucl. Phys. B115, 208 (1976) V. A. Polychronakos et al., Phys. Rev. D 19, 1317 (1979) D. Cohen et al., ibid. 22, 2595 (1980) A. Etkin et al., ibid. 25, 1786 (1982) R. S. Longacre et al., Phys. Lett. B 177, 223 (1986) , in Hadron '87, Proceedings of the 2nd International Conference on Hadron Spectroscopy, Tsukuba, Japan, 1987, edited by Y. Oyanagi (KEK Report No. 87-7, Tsukuba, 1988), p. 46 S. J. Lindenbaum and R. S. Longacre, Phys. Lett. B 274, 492 (1992)

[c11] T. Åkesson et al., Nucl. Phys. B264, 154 (1986) P. C. Cecil, thesis, Cavendish Laboratory, Cambridge, 1984 Rutherford Appleton Laboratory Report No. RALT-004, 1984 (unpublished)

[c12] A. Falvard et al., Phys. Rev. D 38, 2706 (1988)

[c13] U. Malik, in Strong Interactions and Gauge Theories, Proceedings of the XXIst Rencontre de Moriond, Les Arcs, France, 1986, edited by J. Tran Thanh Vanh (Editions Frontières, Gif-sur-Yvette, 1986), Vol. 2, p. 431 W. Lockman, in Hadron '89 [[3]], p. 109 (private communication)

[c14] B. S. Zou and D. V. Bugg, Phys. Rev. D 48, R3948 (1993)

[c15] K. L. Au, D. Morgan, and M. R. Pennington, Phys. Rev. D 35, 1633 (1987)

[c16] R. H. Dalitz and S. Tuan, Ann. Phys. (N.Y.) 10, 307 (1960)

[c17] F. Binon et al., Nuovo Cimento 78A, 313 (1983) ibid.80A, 363 (1984)

[c18] R. H. Dalitz, in Resonances—Models and Phenomena, Proceedings of the Workshop, Bielefeld, West Germany, 1984, edited by S. Albeverio , Lecture Notes in Physics Vol. 21 (Springer, New York, 1984), pp. 1-26 M. R. Pennington, in Plots, Quarks & Strange Particles, Proceedings of the Dalitz Conference, Oxford, England, 1990, edited by I. J. R. Aitchison (World Scientific, Singapore, 1991), pp. 66-107

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Decay $\frac{J}{ψ} \to φ (MM)$ demands the $f_{0} (S^{*})$ be narrow

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Decay Jψ→φ(MM) demands the f0(S*) be narrow

Abstract

References (18)

Decay $\frac{J}{ψ} \to φ (MM)$ demands the $f_{0} (S^{*})$ be narrow