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Let us suppose that single-particle states transform under a certain representation a of the internal symmetry group G.

Formulae 5 and 8 give a formal solution of our problem. At large V the spectrum of single-particle states becomes a quasicontinuous one and Substituting the explicit expressions of the characters we have for the exponential power in eq.

The hypothesis of colour confinement demands the realization of coloufless states singlets of the SU Nc group of a q u a r gor – gluon fkr only. Log In Sign Up. References [ 1] W.

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The analysis shows that the dominant contribution to the integral of eq. Let us estimate values of the corrections 81 and 8 2 from the data of relativistic heavy ion collisions. We would like to note that the exponential power in eq. Click here to sign up. Skip to main content.

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Clustering in many-quark systems: the two-nucleon problem – IOPscience

At decreasing temperature or density the strongly interacting matter should exhibit more and more hadronic behaviour. The colourlessness constraint changes the values of the parameters 7 and 8 in eq.

To perform concrete calculations we need to have an explicit form of the invariant measure and the character of the fundamental quark representation of SU 3 group. It makes it necessary to take consideration of both the higher order terms in the perturbative treatment of the quark-gluon gas and the nonperturbative effects [2]. But the most reliable results of these investigations concentrate mainly on limiting behaviour. Multiparticle states 1however, do not transform under the irreducible representation of the group G.

As the complicated dynamical problem of confinement is not yet solved we must regard the colourless constraint of the allowed states of a quark-gluon system as a subsidiary requirement in describing the global thermodynamical equilibrium state [3].

quark – quark user guide

The purpose of this note is to calculate the singlet partition func- tion of a quantum quark-gluon gas with the SU 3 colour group. In the general case G is a compact semi-simple n-parameter Lie group. It was shown in ref.

Marichev, Integrals and series Nauka, Moscow, The exciting prospect of discovering the observable signals of quark-gluon matter formation in heavy ion collisions has recently led to a comprehensive theoretical study of quark-gluon systems [1]. The idea of the abovementioned construction is to avoid dealing with the complicated sys- tem of state vectors by using a rather simple basis 1 to compute eq.

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The effect of this constraint on the thermodynamical properties of the systems is considered. Gelobenko, Compact Lie groups and their representations Nauka, Moscow, Help Center Find new research papers in: The additional preexponential factor in eq.

The consideration of this correction is important at least in two points.

We argue here that the correct inclusion of colour quark-gluon degrees of freedom is important, too. Secondly and it is qkark essential the power corrections in the partition function 11 are equivalent to the power corrections in the state density “mass spectrum” of quark-gluon bags r m, o m is a mass of bag and o is its volume.

The colourlessness partition function of the quantum quark-gluon gas.