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Volumn 75, Issue 7, 2007, Pages

Modeling Bose-Einstein correlations via elementary emitting cells

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EID: 34247608789     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.75.074030     Document Type: Article
Times cited : (12)

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    • The only discussion of such changes we are aware of is in where it was shown that an enforcing effect of BEC into a simple cascade model results in the appearances of multicharged vertices, not present in the original scheme. For more details, see and references therein.
    • The only discussion of such changes we are aware of is in where it was shown that an enforcing effect of BEC into a simple cascade model results in the appearances of multicharged vertices, not present in the original scheme. For more details, see and references therein.
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    • The reason is obvious. When only mean multiplicity n̄ is fixed, the most probable distribution according to the IT approach is a geometrical (or Bose-Einstein) one. Such is therefore distribution of particles in each cell in rapidity, therefore their composition will result in P(n) of NB type.
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    • Notice that, in general, the multiplicity distribution function satisfies the relation: P(n+1)/P(n)=g(n)/(n+1), where (n+1) is a reflection of the fact that with n particles given the (n+1)th one can be allocated in n+1 ways. Different g(n) result in different forms of P(n). In particular, for g(n)=a one gets (after normalization) P(n)=ane-a/n!, whereas g(n)=p(n+1) results (after normalization) in P(n)=(1-p)pn, i.e., in a geometrical distribution, which means that the emission of an extra particle is enhanced by a factor (n+1) and this is Bose-Einstein enhancement and the emission with this is usually called stimulated emission.
    • Notice that, in general, the multiplicity distribution function satisfies the relation: P(n+1)/P(n)=g(n)/(n+1), where (n+1) is a reflection of the fact that with n particles given the (n+1)th one can be allocated in n+1 ways. Different g(n) result in different forms of P(n). In particular, for g(n)=a one gets (after normalization) P(n)=ane-a/n!, whereas g(n)=p(n+1) results (after normalization) in P(n)=(1-p)pn, i.e., in a geometrical distribution, which means that the emission of an extra particle is enhanced by a factor (n+1) and this is Bose-Einstein enhancement and the emission with this is usually called stimulated emission.
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    • It is interesting to notice at this point that the best fits to C2(δE) and C2(δpx) for σ0=0.1 presented here can be obtained by using, respectively [x=δi and y=C2(δi)], shifted Gaussian y=y0+2/πAexp[-2(x-xc)2/w2]/w (with y0=0.724, xc=-0.125, w=0.922, and A=1.186), and shifted Lorentzian y=y0+(2Aw/π)/[4(x-xc)2+w2] (with y0=0.744, xc=0.0003, w=1.221, and A=1.154). Notice that the later shape belongs to the category of Lévy distributions discussed in the context of BEC in EPCFFB 1434-6044 10.1140/epjc/s2004-01870-9
    • It is interesting to notice at this point that the best fits to C2(δE) and C2(δpx) for σ0=0.1 presented here can be obtained by using, respectively [x=δi and y=C2(δi)], shifted Gaussian y=y0+2/πAexp[-2(x-xc)2/w2]/w (with y0=0.724, xc=-0.125, w=0.922, and A=1.186), and shifted Lorentzian y=y0+(2Aw/π)/[4(x-xc)2+w2] (with y0=0.744, xc=0.0003, w=1.221, and A=1.154). Notice that the later shape belongs to the category of Lévy distributions discussed in the context of BEC in T. Csörgo, S. Hegyi, and W. Zajc, Eur. Phys. J. C 36, 36 (2004) because of their connection with the possible fractality of the hadronizing source. In fact one could as well use other forms of the G(E) function in Eq. 18 to get still another form of C2, EPCFFB 1434-6044 10.1140/epjc/s2004-01870-9
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    • This should be contrasted, for example, with the concept of resonant "halo" discussed in PRVCAN 0556-2813 10.1103/PhysRevC.57.3251
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