Investigation of phase-equivalent potentials by a halo transfer reaction
Abstract
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" values for the weakly bound systems such as the deuteron and 11Be nuclei. Although the corresponding eigenstates differ in the node-number, our investigation on the 11Be(p,d)10Be 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.
Keywords
Cite
@article{arxiv.quant-ph/0211145,
title = {Investigation of phase-equivalent potentials by a halo transfer reaction},
author = {Bulent Gonul and Okan Ozer and Mustafa Yilmaz},
journal= {arXiv preprint arXiv:quant-ph/0211145},
year = {2011}
}
Comments
20 pages article in LaTEX (uses standard article.sty). Figures can be obtained from author(s). Please check "http://www1.gantep.edu.tr/~ozer" for other studies of Nuclear Physics Group at University of Gaziantep