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.
