Analysis of Xi^-hypernuclei

Abstract

The ground-state (cis) binding energies of the Ehyperon in the few known Zhypernuclei have been analysed by adopting a simple Z --nucleus potential for which the Schrddinger equation can be solved analytically and in addition simple formulae for the nuclear part of the E GS binding energy, kinetic and potential energy as functions of the mass number of the core nucleus A,=A may be derived. For the Coulomb part of the interaction the diffuseness of the surface has been taken into account in the framework of an approximate procedure. A comparison has been made of the volume integrals of the E--nucleon and A-nucleon potentials lvz-Nl and lVANl by using estimates of the parameters involved by means of least-squares fittings. The value of the ratio y = vz-NIVAN is found to be c 0 . 8 . It is also found that similar conclusions are reached by using in the same way other potential models, such as the Woods-Saxon one.

Quantum groups and their applications in nuclear physics

“…A similar expression is found, for example, by Taylor expanding the modified Pöschl-Teller potential 71 , which, among other applications, has been recently used in the description of hypernuclei 72,73,74,75 . The modified Pöschl-Teller potential (see also subsec.…”

Relativistic mean-field description of nuclei at the drip-lines

“…For systems with spherical symmetry, i.e. single closed-shell nuclei, the coupled system of equations has been solved using finite element methods in coordinate space [6][7][8][9][10], and by expansion in a basis of spherical harmonic oscillator [11][12][13]. For deformed nuclei the present version of the model does not include solutions in coordinate space.…”

Analytic expressions for the Λ energy in the lower nodeless Λ single particle states

“…In this work the data are analyzed by means of a two-parameter single particle hypernuclear potential which has the advantage of giving rather simple analytic expressions for the A energies in the lower nodeless A orbits. This potential model has recently been used for the study of the mass number dependence of the oscillator spacing hurA together with other related quantities [ll] and also for an analysis of:-hypernuclei [12]. In Sec.…”