Generalized Multiperipheral Models, Pion Exchange, and the Van der Waals Gas
It is shown thsai the ABFT (Amati, Bertocchi, Fubini, Starghellini, and Tonin) multiperipheral model with a resonance kernel possesses an effective cutoff in sigma /sub n/(s) at a maximum value of n related to Ins by 2/), where ln2 < b < ln4, and n is the number of pion pairs (resonances). It is shown that this is analogous to a Van der Waalsa-like (VdW) gas (in the Feynam gas analogy) with the parameter b occurring in the equation of state p(v-b) = 1, the pressure p being taken equal to the Pomeron intercept a, and v/sup -1/ = massless-pion exchange. The results are strong-coupling results and cannot be obtained in a weak-coupling (Poisson) limit in which pv = 1. If the VdW parameter a is introduced via the prescription (p + with a generalized multiperipheral ABFST model, in which pairwise pion final-state interactions ate taken into account in an average, though nontrivial, way. We also examine an iterated resonance-plus- diffraction multiperipheral model (the schizophrenic Pomeron'' model), and find similar results for cutoffs, though an explicit analogy with the a = O VdW model is not possible. The introduction of a plus or minus O is shown to mix the resonance and diffractive couplings in this model. In all cases, leading-Regge- pole behavior is obtained lf it is assumed that the critical point is not reached. (auth) Quantum-number-exchange scattering is studied in the presence of a black- disk Pomeranchukon whose radius grows like the log of the energy. We find that there is a range of momentum transfers for which the Regge pole carry the quantum number is completely absorbed and leaves the physical sheet of the angular momentum plane. The high-energy behavior of the scattering amplitude is controlled not by the Regge pole, but by a branch cut in the angular momenium plane. (auth)
- Research Organization:
- High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-29-022593
- OSTI ID:
- 4344640
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 8, Issue 9; Other Information: Orig. Receipt Date: 30-JUN-74; ISSN 0556-2821
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
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