Internal degrees of the freedom of the nuclear matter

1. Internal degrees of the freedom of the nuclear matter A.Malakhov Joint Institute for Nuclear Research, Dubna malakhov@lhe.jinr.ru Hadron Structure 2011 Tatranská Štrba, Slovak Republic, June 27th - July 1st, 2011

2. A.M.Baldin: I + II → 1 + 2 + 3 + … bik= - (ui – uk)2 i, k = I, II, 1, 2, 3, …. A.M.Baldin and L.A.Didenko. Fortschr. Phys. 38 (1990) 4, 261-332.

3. This approach in 4-velocity space was very fruitful: • Correlation Depletion Principle (CDP) • Invariant definition of hadron jets • Automodelity Principle

4. Classification of relativistic nuclear collisions on bik bik ~ 10-2 classic nuclear physics 0.1 <bik < 1 intermediate domain bik >> 1 nuclei should be considered as quark-gluon systems

5. L.S.Schroeder et al. Phys. Rev. Lett., v.43, No.24, 1979, p.1787 p +Cu →  + … E·d/dp3 = C·exp(-T/T0) Dependence of T0 parameter for pion at 180o for p-Cu collisions on the energy of incident proton Tp.Pion cross-section parameterized by the form E·d/dp3 = C·exp(-T/T0), where T is the pion laboratory kinetic energy

9. - + p → 0 (ω0, η0) + n t - squareof4-momentumtransferred

10. d/dbI1 = A· exp(-bI1/B) A.I.Malakhov, G.L.Melkumov. JINR Rapid Commun., No.19-86 (1986) pp.32-39).

11. As it possible see in figure asymptotic regime is beginning with pion momentum p 25 GeV. bI II = - (uπ – up)2 = - (1 - 2uπup – 1) = = 2(uπup -1) =2(Eπ/mπ – 1) = 2Tπ /mπ 2∙ 25/0.130 380.

16. Conclusion • bikis the good parameter describing internal structure of interacting particles and nucleus • This parameter shows the areas for manifestation various internal degrees of freedom of the interacting objects • It is possible that in area bik≥ 400 the internal degrees of freedom of quarks start to be shown

17. Thank you !