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Exact Conservation of Quantum Numbers in the Statistical Description of High Energy Particle Reactions
| Content Provider | Semantic Scholar |
|---|---|
| Author | Cleymans, J. Keränen, Antti Suhonen, Esko |
| Copyright Year | 1998 |
| Abstract | In high energy particle collisions, the interaction volume is often very small and large deviations can occur from the thermodynamic limit depending on the beam energy. In some cases it may be easy to produce a pion since one needs only 140 MeV for its rest mass, however, to produce an anti-proton one needs at least twice the rest mass, 1.88 GeV and not simply 0.94 GeV, since they can only be produced in pairs. The probability to produce anti-protons therefore cannot simply follow the same law (e.g. a Boltzmann distribution) as the production of pions. Fortunately, statistical mechanics provides us with the tools to take into account constraints like baryon number or strangeness conservation. This will be presented in these lecture notes. Basically, if the system is large and hot, the corrections are negligible. In Pb− Pb collisions at the CERN/SPS collider they are negligible because the system is large enough but for p − p collisions at the same energy these corrections are large and must be taken into account because the final system is too small. The main statistical concepts are collected in Ch. 3. In chapter 3, a statistical method for taking the exact strangeness conservation into account is presented. This is applied in Ch. 3.1 to describe the particle production as observed at the GSI in Ni+Ni collisions. The exact treatment of quantum numbers is extended to include the strangeness, baryon number and charge in Ch. 4. A comparison of numerical results with the AGS E802 data is given in Ch. 4.1. Finally in Ch. 5, the generalization of the method to arbitrary internal symmetry is reviewed. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/hep-ph/9809261v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | AICARDI-GOUTIERES SYNDROME 1 Apollo Abort Guidance System BSD Equilibrium Generalization (Psychology) Grid Security Infrastructure IBM 1401 Symbolic Programming System Large Hadron Collider Lead Lecture Notes Note (document) Numerical analysis Petabyte Protons Quantum number Respiratory Mechanics SEPHS1 gene Semantics (computer science) Thermodynamics collision pi-Mesons |
| Content Type | Text |
| Resource Type | Article |
