next up previous
Next: Binding Energy per Up: Strangelets - Strange Previous: Strangelets - Strange

Cold Infinite Quark Matter

Quark matter in bulk is often described by an equation of state of interacting quarks to first order in [10,11]

 

Here and denote the (current) mass and the chemical potential, respectively, of the quark flavour i=u,d,s. For the total potential the vacuum excitation energy BV has to be added. It corresponds to the energy difference between the `false', perturbative vacuum inside the `bag' and the true vacuum on the outside

 

From this expression (10) the energy per baryon in the groundstate can be readily obtained. The derivative of E/A with respect to the baryon density is zero if the system is at zero pressure. In Fig. 18 the resulting groundstates are shown for and different bag-parameters a function of the strangeness fraction . The energy per baryon of the corresponding hyperonic matter (taken from the RMF model 1) is also drawn. The tangent construction shown proves that for a given strangeness fraction the separation of a normal and a highly strange subsystem might be energetically favorable as compared to the mixture. Therefore it is energetically advantageous to accumulate the strangeness in the quark phase!

  Figure : The tangent construction at T=0. For a given strangeness fraction the specific energy is lowest for a two-phase mixture of quark and hadronic matter. Drawn are the masses of non-interacting quark matter for different bag parameters and MeV (QGP) and those of infinite hadronic matter in the RMFT model 1 (full line) and model 2 (dashed) [29].


Lars Gerland
Tue Jan 30 16:28:17 CET 1996