Equivalent potential for alpha deuteron model of 6Li

Abstract

~e have presented the formalism of m+d cluster model of 'Li following resonating group method. In this procedure, non-local, non-separable Kernel appears. The appearance of this kernel broadly involves: First, the calculation of analytical e"pression of the KErnel, Second, solving the integro-d1fferential equat.ion containing kernel by numerical method. In the first the calculat'._on of the kernel involves huge (complicated) work. In th" present work we have shown the formalism in a bit detail deliberately only to show how big and laborious the calculation are for si~-nucleon 3ystem of 'L,. not to speak of higher nuclei. That is why although the resonating group formalism has been in application for a long time and the results obtained are good, the detailed work following this method hardly passes the nuclei of 15-20 nucleons. In our pre~ent study we have replaced the non-local nOnscp'uable kernel by a simple non-local separahle kernel l<eeping the other t"rms namely direct potential part and. coulombpart as obtained from the re>;onating group m~thod into account. The results obtained agree well with the experimental re:;ults.This she',.,'t"h"'L resonating group formalism can be extended to any higher mass number in a modified way.