In this paper, we introduce a new type of single-facility location problem on networks which includes as special cases most of the classical criteria in the literature. Structural results as well as a finite dominating set for the optimal locations are developed. Also, the extension to the multifaci
A unified approach to resonances and partons: A survey of the problems and accomplishments
✍ Scribed by M.I Pavković
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 899 KB
- Volume
- 85
- Category
- Article
- ISSN
- 0003-4916
No coin nor oath required. For personal study only.
✦ Synopsis
A brief survey of the recently proposed unified approach to resonances and partons is presented. A new result is the formula for the mean value of the mass of the parton, r?i = (1ad)M,. , where a is the average distance between the adjacent hadronic levels, c! the radius of the nucleon, and M, its mass. We also discuss the spacelike states in more detail and give a possible parton model interpretation of this less familiar physical phenomenon.
In order to prove the equivalence of two seemingly orthogonal physical pictures describing the same set of physical phenomena, one is obliged to present nothing less than a definite computational scheme capable of answering the physical questions that originate from either direction. In recent times, two such physical pictures have been suggested to explain the physical phenomena of deep inelastic processes: partons vs resonances. They are based on seemingly incompatible assumptions.
The parton model [l] visualizes the nucleon in the physical circumstances of the deep inelastic scattering and in the infinite momentum Lorentz frame as a swarm of freely moving pointlike particles called partons on which the incoming eIectron scatters incoherently (impulse approximation).
The partons explain the property of scaling; and reproduce most of the other salient features of the deep inelastic data fairly accurately. However, their competence is limited to very high energy reactions. Low energy phenomena, such as the mass spectrum and the elastic and the resonance excitation form factors remain outside the narrow boundaries of the parton model. Even such a natural physical question as the size of the nucleon remains unanswered within the parton model.
On the other hand, the resonance models (when we talk about resonance models, we have in mind primarily the infinite component wave equations which appear 465
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