Are spectroscopic factors from transfer reactions consistent with asymptotic normalisation coefficients?

Abstract

It is extremely important to devise a reliable method to extract spectroscopic factors from transfer cross sections. We analyse the standard DWBA procedure and combine it with the asymptotic normalisation coefficient, extracted from an independent data set. We find that the single particle parameters used in the past generate inconsistent asymptotic normalization coefficients. In order to obtain a consistent spectroscopic factor, non-standard parameters for the single particle overlap functions can be used but, as a consequence, often reduced spectroscopic strengths emerge. Different choices of optical potentials and higher order effects in the reaction model are also studied. Our test cases consist of: ${}^{14}$C(d,p)${}^{15}$C(g.s.) at $E_d^{lab}=14$ MeV, ${}^{16}$O(d,p)${}^{17}$O(g.s.) at $E_d^{lab}=15$ MeV and ${}^{40}$Ca(d,p)${}^{41}$Ca(g.s.) at $E_d^{lab}=11$ MeV. We underline the importance of performing experiments specifically designed to extract ANCs for these systems.

15 pages, 12 figures, Phys. Rev. C (in press)

References in corpus (11)

• A consistent analysis of (e,e'p) and (d,3He) experiments
• One-neutron removal reactions on light neutron-rich nuclei
• Survey of ground state neutron Spectroscopic Factors from Li to Cr isotopes
• Are Occupation Numbers Observable?
• Reduced neutron spectroscopic factors when using potential geometries constrained by Hartree-Fock calculations
• Nuclear structure studies with the 7Li(e,e'p) reaction
• Systematic Extraction of Spectroscopic Factors from 12C(d,p)13C and 13C(p,d)12C Reactions
• Reaction models to probe the structure of light exotic nuclei
• Combined method to extract spectroscopic information
• Effects of Rescattering in (e,e'p) Reactions within a Semiclassical Model
• Coupling and higher-order effects in the 12C(d,p)13C and 13C(p,d)12C reactions

Cited by in corpus (18)

• The magic nature of 132Sn explored through the single-particle states of 133Sn
• Recent developments for the optical model of nuclei
• Direct reaction measurements with a 132Sn radioactive ion beam
• Adiabatic versus Faddeev for (d,p) and (p,d) reactions
• Bound, virtual and resonance $S$-matrix poles from the Schrödinger equation
• Deuteron stripping and pickup involving halo nuclei 11Be and 15C
• Improved description of ${}^{34,36,46}$Ar(p,d) transfer reactions
• Finite-range effects in (d,p) reactions
• Asymptotic normalization coefficients and continuum coupling in mirror nuclei
• Benchmark on neutron capture extracted from $(d,p)$ reactions
• Systematic analysis of the peripherality of the ${}^{10}$Be$(d,p)$${}^{11}$Be transfer reaction and extraction of the asymptotic normalization coefficient of ${}^{11}$Be bound states
• ${}^{15}$C: from Halo-EFT structure to the study of transfer, breakup and radiative-capture reactions
• Transfer reactions and the dispersive optical-model
• Halo effective field theory analysis of one-neutron knockout reactions of ${}^{11}\mathrm{Be}$ and ${}^{15}\mathrm{C}$
• Implications for (d,p) reaction theory from nonlocal dispersive optical model analysis of ${}^{40}$Ca(d,p)${}^{41}$Ca
• Sensitivity of transfer cross sections to the bound-state wave functions
• Deducing spectroscopic factors from wave-function asymptotics
• Asymptotic normalization coefficient method for two-proton radiative capture