Constituent quark model for hadron-hadron collisions and multiplicity distributions

Takagi, Fujio

doi:10.1007/bf01572250

Cited by 7 publications

(2 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The only existing calculations 8,9 relate X(K) to the empirically known leading-particle spectrum at 14-28 GeV(c.m.). 10 (This spectrum was calculated in a bremsstrahlung model where pions were radiated by the colliding hadrons 11 and was also addressed in the gluon bremsstrahlung picture.…”

Section: )mentioning

confidence: 99%

Derivation of inelasticity distribution for hadron-hadron collisions in a gluon-gluon interaction picture

Wilk

1985

Phys. Rev. Lett.

View full text Add to dashboard Cite

The inelasticity distribution and energy loss of leading particles, which are essential ingredients in statistical models for multiparticle production processes and the phase transition from hadronic to quark-gluon matter, have been calculated in an approach in which the dominant role is played by interacting gluons. The interpretation of existing experimental data indicates an appreciable reduction of the number of soft gluons in comparison with that deduced from a naive extrapolation of deep-inelastic-scattering experiments.PACS numbers: 13.85.-t, 12.35.EqThe theoretical and experimental study of the phase transition from hadronic to quark-gluon matter is a subject of high current interest. 1 The main physical quantity which controls the phase transition is the energy density e. Moreover, since the transition is expected to occur in (nuclear or hadronic) reactions, e = W/ Fis a fluctuating quantity, which will vary from event to event. Here Wis the (invariant) energy effectively used for hadronization and Fthe interaction volume. Wis related to the total available energy Vs by the inelasticity coefficientAn experimental investigation of the phase transition is thus possible only if the distribution of the inelasticity, X(K), is known. Another important field of applications of X(K) is represented by multiparticle production processes when treated from a statistical-hydrodynamical point of view. Such a point of view is adopted at present in most theoretical approaches to relativistic heavy-ion physics, 1 and has proven to be quite successful in hadronic reactions too. 2 The relevance of X(K) for statistical models lies in the fact that, 3 as opposed, e.g., to Regge models, the important physical variable is W rather than Vs. A typical physical observable <9(Vs ) appears as a convolution of O(W) and X(K), where O(W) is the corresponding quantity as a function of W\ d(^)=J0(W=Kj~s)x(K)dK.( 2)This second type of applications of X(K) has been stressed recently 4,5 after it became clear 6 that X(K) is not an immutable quantity but changes with s. In Refs. 4 and 5, relevant physical quantities like multiplicity distributions and average transverse momenta and their correlation were calculated by use of an empirical form of X(K), and their comparison with data brought new evidence for this new physical effect, i.e, X = X(K,^).Finally, the similarities observed between e*e~ and pp reactions, 7 when compared at the same W rather than -Vs, lead naturally to the consideration of X(K).There exists so far no satisfactory theoretical derivation of X(K) in hadronic reactions, and the same is a fortiori true for nuclear processes. The only existing calculations 8,9 relate X(K) to the empirically known leading-particle spectrum at 14-28 GeV(c.m.). 10 (This spectrum was calculated in a bremsstrahlung model where pions were radiated by the colliding hadrons 11 and was also addressed in the gluon bremsstrahlung picture. 12 ) These calculations are unsatisfactory because they do not account for the observed s dependence of X(K), and...

show abstract

Section: )mentioning

confidence: 99%

Derivation of inelasticity distribution for hadron-hadron collisions in a gluon-gluon interaction picture

Wilk

1985

Phys. Rev. Lett.

View full text Add to dashboard Cite

show abstract

“…Throughout this paper, we do not make distinction between diffractive and nondiffractive inelastic interactions assuming that the latter is dominant. One reason for this is that our input from pop collisions 20 ) was obtained without such distinction.…”

Section: )-5)mentioning

confidence: 98%

Collective Quark Tubes and Multiplicity Distributions in - Collisions at High Energies

Takagi¹

1984

Progress of Theoretical Physics

View full text Add to dashboard Cite

585Cross sections for various configurations of inelastic a-a collisions at the quark level are calculated by using the standard multiple scattering formula at the nucleon level with the quark additivity approxima· tion for nucleon·nucleon collisions. The result is used to calculate the multiplicity distribution of charged hadrons within the framework of the collective quark tube model (CQTM) i.e., a quark·version of the collective tube model. The calculated distribution is in good agreement with the recent experimental result obtained at CERN ISR. The effect of the collectivity characteristic of CQTM is, however, negligibly small in the a-a case. § 1. Introduction A theoretical expectation of formation of quark-gluon plasma,I) accumulation of very high multiplicity events in cosmic ray nucleus-nucleus collisions 2 ) and a high precision experiment on a-a interactions at CERN ISR 3 )-5) have stimulated intensive theoretical investigation of nucleus(A)-nucIeus(A) collisions at very high energies.1),6)-I6) On the other hand, there are various models that can describe many aspects of multiple production in hadron(h)-nucleus(A) collisions. Usually, they can be easily generalized to describe A-A collisions. However, most of them have no direct relevance to quark-gluon plasma. Hence it is interesting to see if such "conventional" models can explain main features of A-A data already available.In fact, our own model called collective quark tube model (CQTM) can explain the observed high multiplicities of shower particles produced in central A-A collisions.7) Therefore, we think it necessary to see whether the same model can explain the recent experimental results on a-a collisions obtained at CERN ISR. 3 )-5)The main purpose of this paper is to calculate the multiplicity distribution of negatively charged hadrons produced in a-a collisions by using CQTM and to compare the result with the data. 5 ) According to CQTM, inelastic A-A collisions are described as an incoherent sum of simultaneous quark tube(qt)-quark tube(qt) collisions. Here, a quark tube means a row of quarks as a conglomerate in a projectile (or target) along the path of the projectile. The effective energy in a qt-qt collision is larger than that in a single quark-single quark collision at the same incident momentum per quark. CQTM takes into account this effect just like in the collective tube modeP 7) or the big hadron model. I8 ) Otherwise the CQTM is similar to the color string model of Biaras, Czyz and Furmanski. I9 ) In order to calculate the multiplicity distributions within the framework of CQTM, one needs to expand the cross section for inelastic a-a collisions into various components that correspond to particular configurations of inelastic collisions at the quark level. As *) Permanent address.

show abstract

Universal approach to hadron-proton multiplicity distributions

Valin

1987

Z. Phys. C - Particles and Fields

View full text Add to dashboard Cite

Constituent quark model for hadron-hadron collisions and multiplicity distributions

Cited by 7 publications

References 33 publications

Derivation of inelasticity distribution for hadron-hadron collisions in a gluon-gluon interaction picture

Derivation of inelasticity distribution for hadron-hadron collisions in a gluon-gluon interaction picture

Collective Quark Tubes and Multiplicity Distributions in - Collisions at High Energies

Universal approach to hadron-proton multiplicity distributions

Contact Info

Product

Resources

About