FINE STRUCTURES OF INCLUSIVE SPECTRA(Ⅰ)——SUM RULES AND THE GENERALIZATION OF FEYNMAN-YANG SCALING

LIU HAN-ZHAO

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2024年10月30日

Chinese Physics C> 1979, Vol. 3> Issue(1) : 19-26

FINE STRUCTURES OF INCLUSIVE SPECTRA(Ⅰ)——SUM RULES AND THE GENERALIZATION OF FEYNMAN-YANG SCALING

LIU HAN-ZHAO

Nankai University

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Abstract：
Important implications of the fine structure of inclusive spectra(to be calledinclusive and semi-inclusive spectra of nearby particles,which represent the local dis-tributions of nearby particles in three-dimensional phase space with rapidity y and transverse momenta P_⊥x, P_⊥z as independent coordinates are explained,and some basicfeatures of the fine stucture are found,namely,sum rules and the generalized formof the Feynman-Yang scaling.One of the sum rules,for example,is:where f_(1;k) denotes the normalized invariant inclusive cross section of k closely neigh-boring particles.It follows that the inclusive the spectra of nearby particles arequalitatively different from the usual ones.The generalized form of the Feynman-Yang scaling for the case of k closelyneighboring particles,for example,is:f_(1;k)(s,x₁,P_⊥1,…x_k,P_⊥k⁾∞,（s→∞,x₁≤x₂≤…≤x_k）.where‘∞’denotes‘approaches a definite limit’.For k=2,the existing experimentaldata for the rapidity gap-length distributions show that for FNAL energies,f_(1,k） isalready close to its limiting form.The inclusive（semi-inclusive）spectra of nearbyparticles way be able to reflect effectively short-range correlation effects.

References

[1]

C.Quigg, G. Thomas and P. Piril, Phys. Rev. Lett., 34(1975), 290.[2] T. Ludlam and R. Slanaky, Phys. Rev., D12(1975), 65.[3] 见 A. Krzywicki, C. Quigg and G. Thomas, Phys. Lett., 57B(1975), 369 一文文末的参考文献[4,5].[4] 刘汉昭，中国科学，1978, 5, 508.科学通报，21 (1976), 483.[5] Z. Koba, H. B. Nielsen and P. Olesen, Phys. Lett，38B(1972), 25. Nucl. Phys., B40(1972), 317.[6] J. Banecke, T. T. Chou, C.N. Yang and E. Yen, Phys. Rev., 188(1869), 2159; R. P. Feynman, Phys. Rev. Lett.,23(1969),1415.[7] P. Piriis amd G. Thomas, Phys. Rev., D11(1975), 2532.

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LIU HAN-ZHAO. FINE STRUCTURES OF INCLUSIVE SPECTRA(Ⅰ)——SUM RULES AND THE GENERALIZATION OF FEYNMAN-YANG SCALING[J]. Chinese Physics C, 1979, 3(1): 19-26.

LIU HAN-ZHAO. FINE STRUCTURES OF INCLUSIVE SPECTRA(Ⅰ)——SUM RULES AND THE GENERALIZATION OF FEYNMAN-YANG SCALING[J]. Chinese Physics C, 1979, 3(1): 19-26. shu

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Received: 1977-04-06
Revised: 1978-09-18

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沈阳化工大学材料科学与工程学院沈阳 110142

FINE STRUCTURES OF INCLUSIVE SPECTRA(Ⅰ)——SUM RULES AND THE GENERALIZATION OF FEYNMAN-YANG SCALING

LIU HAN-ZHAO

Nankai University

Received Date: 1977-04-06
Accepted Date: 1978-09-18
Available Online: 1979-02-05

Abstract: Important implications of the fine structure of inclusive spectra(to be calledinclusive and semi-inclusive spectra of nearby particles,which represent the local dis-tributions of nearby particles in three-dimensional phase space with rapidity y and transverse momenta P_⊥x, P_⊥z as independent coordinates are explained,and some basicfeatures of the fine stucture are found,namely,sum rules and the generalized formof the Feynman-Yang scaling.One of the sum rules,for example,is:where f_(1;k) denotes the normalized invariant inclusive cross section of k closely neigh-boring particles.It follows that the inclusive the spectra of nearby particles arequalitatively different from the usual ones.The generalized form of the Feynman-Yang scaling for the case of k closelyneighboring particles,for example,is:f_(1;k)(s,x₁,P_⊥1,…x_k,P_⊥k⁾∞,（s→∞,x₁≤x₂≤…≤x_k）.where‘∞’denotes‘approaches a definite limit’.For k=2,the existing experimentaldata for the rapidity gap-length distributions show that for FNAL energies,f_(1,k） isalready close to its limiting form.The inclusive（semi-inclusive）spectra of nearbyparticles way be able to reflect effectively short-range correlation effects.