L. Van Hove

A theorem on the single particle energy in a Fermi gas with interaction

Synopsis This paper investigates single particle properties in a Fermi gas with interaction at the absolute zero of temperature. In such a system a single particle energy has only a meaning for particles of momentum ‖k‖ close to the Fermi momentum kF. These single particle states are metastable with a life-time approaching infinity in the limit ‖k‖ → kF. The limiting value of the energy is called the Fermi energy EF. As a special case of a more general theorem, it is shown that for a system with zero pressure (i.e. a Fermi liquid at absolute zero) the Fermi energy EF is equal to the average energy per particle E0/N of the system. This result should apply both to liquid He3 and to nuclear matter. The theorem is used as a test on the internal consistency of the theory of Brueckner 1) for the structure of nuclear matter. It is seen that the large discrepancy between the values of EF and E0/N, as calculated by Brueckner and Gammel 2), arises from the fact that Brueckner neglects important cluster terms contributing to the single particle energy. This neglection strongly affects the calculation of the optical potential.

Multiplicity dependence of pt spectrum as a possible signal for a phase transition in hadronic collisions

Abstract It is argued that the flattering of the transverse momentum (pt) spectrum for increasing multiplicity n, observed at the CERN proton-antiproton collider for charged particles in the central rapidity region, may serve as a prove for the equation of state of hot hadronic matter. We discuss the possibility that this pt versus n correlation could provide a signal for the deconfinement transition of hadronic matter.

Sur L'intégrale de Configuration Pour Les Systèmes De Particules À Une Dimension

Resume The free energy of a one-dimensional system of particles is calculated for the case of non-vanishing incompressibility radius of the particles and a finite range of the forces. It is shown quite generally that no phase transition phenomena can occur under these circumstances. The method used is the reduction of the problem to an eigenvalue problem.

Negative binomial multiplicity distributions in high energy hadron collisions

AbstractThis paper concerns the results recently obtained by the UA5 Collaboration on charged particle multiplicity distributions at the CERN

A PHENOMENOLOGICAL DISCUSSION OF INELASTIC COLLISIONS AT HIGH ENERGIES

p\bar p

Final state classification and new phase space plot for many-body hadron collisions

collider

Multiplicity distribution and production mechanisms in high energy hadron collisions

(\sqrt s = 540 GeV)