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Physical Review Letters
Volumn 70, Issue 22, 1993, Pages 3380-3383
Salient features of high-energy multiparticle distributions learned from exact solutions of the one-dimensional Ising model
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EID: 4243477820     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.70.3380     Document Type: Article
Times cited : (15)
References (17)
  • 8
    • 0000810512 scopus 로고
    • Z. Phys. C 43, 357 (1989).
    • (1989) Z. Phys. C , vol.43 , pp. 357
  • 11
    • 84927504766 scopus 로고    scopus 로고
    • Strictly speaking, our 1D Ising results are not applicable to the nuclear 2D plot in δ η δ phi. We include them here to entice future true 1D nuclear data in δ eta with good statistics.
  • 15
    • 84927498100 scopus 로고    scopus 로고
    • Note that for Aδξ and Bδξ constant in δ xi, especially in the small δ xi regions, the Ising results do give intermittent behavior Fq( δ ξ ) -> ( 1 / δ ξ )q-1 as δ ξ -> 0; see Eq. (7). In Ref. [1] we tried to obtain the δ xi dependence by interpreting M = ( Δ ξ / δ ξ ) 1/α and fitted data to find the value of α app 5 to flatten the δ xi-dependence of Fq( δ ξ ). Here we have changed the strategy. Rather than presuppose that all the δ xi dependence is in M, we leave it open and find out from the data what are the dependences on δ xi in the two parameters of the model, Aδξ and Bδξ , when we take the most natural interpretation M = Δ ξ / δ xi. In doing so the α != 1 effect is reflected in Aδξ and Bδξ having rather strong dependences on δ xi in the small δ xi region [see Figs. 1(a) and 1(b)]. In any case, the existence of intermittency in multiparticle particle production is hard to establish unambiguously due to the following intrinsic difficulties: The error in the data increases as δ xi decreases; as δ xi decreases to a value such that the average number of particles produced in that width of δ xi becomes comparable to or smaller than q, i.e., < n > Δξ ( δ ξ / Δ ξ )
  • 17
    • 84927469204 scopus 로고    scopus 로고
    • This work gives yet another physical interpretation to our 1D Ising Pδξ ( n ). We thank Dr. Finkelstein for informing us about this point and his paper.

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