VERTEX FUNCTION, COUPLING CONSTANT, AND COMPOSITE PARTICLE
Journal Article
·
· Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D
A vertex function with 3 kinds of strongly interacting particles is studied. As one of them becomes unstable, the structure singularities (one of which corresponds to the anomalous threshold) of this vertex function are shown to move out of the unphysical sheet and remain on the physical cut. In determining its dispersion relation, the correct Riemann sheet must be chosen for its absorptive part. A physical interpretation of this structure anomaly is given. Using this vertex function, a model of composite particles, stable or unstable, is discussed. The trilinear scalar-type coupling constant is obtained in terms of the three masses by using an unsubtracted dispersion relation of this vertex function. A method to estimate the lifetime of the unstable particle is proposed. Another condition between the coupling constant and the masses is obtained from consideration of the charge structure of the composite particle. The two independently obtained conditions can be used to determine both the coupling constant and the binding energy simultaneously. As an explicit example, SIGMA is considered as a bound state of A and pi through a scalar-type SIGMA DELTA pi coupling. The calculated mass of SIGMA is in agreement with its observed mass and the coupling constant is g/sup 2//4 pi = l.4. (auth)
- Research Organization:
- Univ. of Chicago
- NSA Number:
- NSA-16-009389
- OSTI ID:
- 4806433
- Journal Information:
- Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 125; ISSN PHRVA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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