Erratum: Search for excited states in3Hand3He[Phys. Rev. C59, 1207 (1999)]

Abstract

The d + N systems are studied in a three-body model, using phenomenological N-N interactions. The scattering matrices are calculated by using the Kohn-Hulthén variational method. Then, they are analytically continued to complex energies and their singularities are localized. We find a virtual state at E = −1.66 MeV in 3 H and a pair of states at E = (−0.42 ± i0.52) MeV in 3 He relative to the d + N thresholds, respectively. In addition, we discuss some general aspects and problems of virtual states which may be useful also in the study of other systems, like 10 Li. PACS number(s): 21.45.+v, 24.30.Gd, 27.10.+h

Spectroscopic amplitudes and microscopic substructure effects in nucleon capture reactions

“…Since our findings contradict the conclusions of ref. [7], we explore the claims made in that paper.…”

“…As noted previously, a projection operator may be needed and this is amplified in the discussion of ref. [7] in the next section. It is also χ l (normalized to one) that in this approach should be identified with the single-particle wave function, both because of this better correspondence with the true spectroscopic amplitude and because of the form of the equation which it satisfies.…”

“…[7]. As discussed in the previous section,N enforces antisymmetry by projecting onto a completely antisymmetric state.…”

“…This procedure was questioned in ref. [7]. The author of that paper argues that the short-range correlations contained in the spectroscopic factor should modify the bound-state wave function only in the nuclear interior and have no effect on the asymptotic behavior.…”

“…At issue is the proper normalization of the cross section. Csótó [7], for instance, maintains that spectroscopic factors should not be included in potential-model calculations of the 7 Be(p, γ) 8 B cross section at low energies, since the reaction depends only on the asymptotic normalization coefficient of the 8 B bound-state wave function [9], whereas the spectroscopic factor arises from the short-range properties of the wave function. Mukhamedzhanov et al [8,9] argue in favor of using a different approach, based on asymptotic normalization coefficients instead of spectroscopic factors, for determining the relevant cross sections.…”