Investigation of phase-equivalent potentials by a halo transfer reaction

Details Investigation of phase-equivalent potentials by a halo transfer reaction Investigation of phase-equivalent potentials by a halo transfer reaction

2002-11-22

arxiv.org/abs/quant-ph/0211145v1

Eur.Phys.J.A9:19-28,2000

Physics

Quantum Physics

20 pages article in LaTEX (uses standard article.sty). Figures can be obtained from author(s). Please check "http://www1.gante

Scientific paper

10.1007/s100500070051

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.

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