Multichannel Model of the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>K</mi></mrow><mrow><mo>*</mo></mrow></msup></mrow><mn></mn><mo>(</mo><mn>890</mn><mo>)</mo><mn></mn></math></span>

David C. Carey

doi:10.1103/PhysRevD.2.163

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Multichannel Model of the $K^{*} (890)$

David C. Carey^*

Department of Physics, The City College of the City University of New York, New York, New York 10031

^*Present address: National Accelerator Laboratory, Batavia, Ill. 60510.

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Phys. Rev. D 2, 163 – Published 1 July, 1970

DOI: https://doi.org/10.1103/PhysRevD.2.163

Abstract

The inelastic channels $K^{*} π$ and $K$ are included in a three-channel model of the $I = \frac{1}{2} p$ -wave $K π$ amplitude. Feynman diagrams for vector-meson exchange are used as input to multichannel $\frac{N}{D}$ equations, which are solved to obtain the scattering amplitude. Coupling constants which cannot be measured experimentally or calculated using $SU (3)$ are obtained by employing $SU {(6)}_{W}$ in the rest system of one of the particles at a given vertex. The $K^{*} π$ channel, neglected in previous calculations, is observed to influence the amplitude strongly, but the width of the $K^{*} (890)$ is calculated to be 210 MeV or about four times the experimental value.

References (8)

J. R. Fulco, G. L. Shaw, and D. Y. Wong, Phys. Rev. 137, B1242 (1965)
K. C. Gupta, R. P. Saxena, and V. S. Mathur, Phys. Rev. 141, 1479 (1966)
C. Zemach and F. Zachariasen, Phys. Rev. 128, 849 (1962)
L. A. P. Balázs, Phys. Rev. 137, B168 (1965)
H. J. Lipkin and S. Meshkov, Phys. Rev. 143, 1269 (1966)
J. J. Sakurai, Phys. Rev. Letters 17, 1021 (1966)
D. E. Neville, Phys. Rev. 160, 1375 (1967)
J. L. Uretsky, Phys. Rev. 123, 1459 (1961)

[c1] J. R. Fulco, G. L. Shaw, and D. Y. Wong, Phys. Rev. 137, B1242 (1965)

[c2] K. C. Gupta, R. P. Saxena, and V. S. Mathur, Phys. Rev. 141, 1479 (1966)

[c3] C. Zemach and F. Zachariasen, Phys. Rev. 128, 849 (1962)

[c4] L. A. P. Balázs, Phys. Rev. 137, B168 (1965)

[c5] H. J. Lipkin and S. Meshkov, Phys. Rev. 143, 1269 (1966)

[c6] J. J. Sakurai, Phys. Rev. Letters 17, 1021 (1966)

[c7] D. E. Neville, Phys. Rev. 160, 1375 (1967)

[c8] J. L. Uretsky, Phys. Rev. 123, 1459 (1961)

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Multichannel Model of the $K^{*} (890)$

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Multichannel Model of the K*(890)

Abstract

References (8)

Multichannel Model of the $K^{*} (890)$