2019 Impact factor 2.176
Hadrons and Nuclei
Eur. Phys. J. A 9, 19-28

Investigation of phase-equivalent potentials by a halo transfer reaction

B. Gönül - O. Özer - M. Yilmaz

Department of Engineering Physics, University of Gaziantep, 27310 Gaziantep, Turkey

Received: 15 May 2000 / Revised version: 1 September 2000
Communicated by A. Molinari

Using the supersymmetric quantum mechanics, we investigate the wave function-sensitive properties of the supersymmetric potentials which have received a lot of attention in the literature recently. We show that a superdeep potential and its phase-equivalent shallow-partner potential give very similar rms radius values for the weakly bound systems such as the deuteron and \ensuremath{\mathsf{^{11}Be}} nuclei. Although the corresponding eigenstates differ in the node-number, our investigation on the \ensuremath{\mathsf{^{11}Be(p,d) ^{10}Be}} single nucleon halo transfer reaction at 35 MeV show that also other physical quantities such as the cross-section angular distributions calculated using these wave functions reflect the nodal structure rather weakly. This lends support to two nearly equivalent treatments of the Pauli principle.

03.65.Fd Algebraic methods - 24.10.-i Nuclear reaction models and methods - 25.60.Je Transfer reactions

Copyright Società Italiana di Fisica, Springer-Verlag 2000