Abstract
It has been shown recently by Cugnon in his generalized version of the $R$-matrix theory that the hard sphere phase shift used in the standard $R$-matrix theory is arbitrary and can be replaced, in general, by any other phase shift. In the present paper similar results have been derived in a straightforward manner, within the framework of the standard $R$-matrix theory, from the usual division of $R$ matrix into a background matrix ${R}_{0}$ plus a matrix ${R}^{\ensuremath{'}}$ containing pole terms and further constraining ${R}_{0}$ to be a diagonal matrix. Thus Cugnon's theory and the standard $R$-matrix theory lead to algebraically equivalent results. An expression for the renormalization factor for the reduced width has also been given in terms of the new phase shift and the hard sphere phase shift.NUCLEAR REACTIONS $R$-matrix theory, arbitrary phase shift within standard formalism. Expression for reduced width.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
