Abstract
The method of coupled channels is presented for situations where all channels are bound. A numerical relaxation technique is formulated for such problems and is found to be rapid and reliable. Calculations are performed for deformed nuclei (where angular momenta in a rotational band are coupled) and for the Lane isospin t\ifmmode\cdot\else\textperiodcentered\fi{}T potential (where proton-nucleus and neutron-analog compositions of a target nucleus are coupled). In either case the relevant radial functions may be used as form factors for the analysis of stripping or pickup experiments. The calculations are applied to (1) deformed components in spherical nuclei (${\mathrm{O}}^{18}$ and ${\mathrm{Ca}}^{40}$); (2) a deformed nucleus (${\mathrm{Mg}}^{25}$); (3) $j$-dependent effects in the $1{f}_{\frac{7}{2}}$ shell; and (4) the extraction of ($p, d$) spectroscopic factors in the $1{f}_{\frac{7}{2}}$ shell using the Lane potential. The effect of the channel coupling is found to be important in many instances.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.