No description available.

It is widely accepted that the finite size of the hadrons must be taken into account in a thermodynamic description of the hadron gas near the phase transition to quark gluon plasma. Existing thermodynamic models introducing a .correction due to the finite size of the particles are reviewed and discussed. A new model to describe dense nuclear matter is developed. The model takes into account the different quantum statistical distributions of the hadrons. The grand canonical pressure partition function is used. to obtain the thermodynamic limit. The grand canonical partition function is restricted so that only those states where the extended particles fit into the volume of the system, are counted. The configuration space is reduced accordingly. The hadrons are described as MIT bags. The size of the particles depends on the pressure in the system. The pressure in the system compresses the hadrons which leads to an increase of the mass of the hadrons according to the MIT bag equation. The size of the particles is determined by the minimum of the grand canonical potential. A consistent thermodynamic theory is obtained. The equation of state for hadronic matter is discussed for the special cases, zero temperature and zero chemical potential, before the general case of finite temperature and finite chemical potential is used to construct a first order phase transition from hadron gas to quark gluon plasma. At high densities the influence of the description of the hadrons as MIT bags becomes significant. It is found that the phase transition is strongly dependent on the value chosen for the bag constant and the application of as corrections. Therefore ~reliable value of the bag constant and a generally accepted theory for as corrections are essential to obtain a good thermodynamic description of the phase transition from hadron gas to quark gluon plasma.

published_or_final_version / abstract / toc / Physics / Master / Master of Philosophy

published_or_final_version / Physics / Master / Master of Philosophy

Thesis (M. Phil.)--University of Hong Kong, 1994. / Includes bibliographical references (leaves 90-97).

Thesis (Ph.D.)--University of California, Berkeley, 1961. / "UC-34 Physics" -t.p. "TID-4500 (16th Ed.)" -t.p. Includes bibliographical references (p. 102).

<p> Using the reference spectrum method the G-matrix elements, and hence the binding energy of an infinite nucleus is calculated. Three modern potentials. two of which are hard core and one soft core are used. This formalism is then extended to a finite nuclei and spin orbit splittings around some closed shell nuclei are calculated. Both for binding energy and spin orbit splittings fairly good agreement with experiment is obtained. </p> / Thesis / Doctor of Philosophy (PhD)

<p> In this thesis, the standard perturbation theory is applied to nuclear matter. The second order term is simplified by the introduction of the K(k,k',q) function which takes care of the Pauli Exclusion Principle. Various potentials are used in the calculation of the first and second order term of the perturbation expansion. The results are then discussed.</p> / Thesis / Master of Science (MSc)

<p> The binding energy B of a A-particle in infinite nuclear matter has been estimated to be about 30 MeV by extrapolating the observed binding energies of hypernuclei. On the other hand, theoretical estimates so far done by various methods are generally much larger than 30 MeV. Various reasons for this descrepancy have been considered. We estimate the effect of the A-E conversion as one of the effects removing that descrepancy. In order to take account of the A-E conversion explicitly, it is convenient to use the so-called two-channel formalism. We calculate the binding energy B in the two-channel formalism (TCF) as well as in the more conventional one-channel formalism (OCF). It is found that B in the TCF can be substantially smaller than in the OCF. The difference of the values of B in the two formalisms is interpreted as due to the Pauli principle which suppresses the A-E conversion in nuclear matter. The relation between this effect in the TCF and three-bodyANN forces in the OCF is clarified. </p> / Thesis / Master of Science (MSc)

<p> In second order perturbation theory for nuclear matter, an exact treatment of the Pauli exclusion principle is given from a geometrical point of view. All the kinematic effects of the Pauli exclusion principle are then included in a function K(k,k',q), which is related to the Euler's function through a double integration. With this function K(k,k',q), we can treat the Pauli correction in nuclear matter in a more exact way so that a check to the conventional angular average approximation is obtained. For separable core nuclear potential, this function K(k,k',q) serves as a very convenient apparatus for the perturbation calculation of the binding energy in nuclear matter.</p> / Thesis / Master of Science (MSc)