Abstract:
M.Kawai and Y. Iseri (2), (3) found an interesting phenomenon in nuclear physics,
motivated by the work of (1), in case of nucleon-nucleus elastic scattering. In the
following this phenomenon is discussed in case of neutron (n)-nucleus (A) elastic
scattering.
In elastic scattering of neutron on (A), the elastic S – matrix element for a particular
combination of j l E A cm , , , becomes very small (almost zero), and they called this
phenomenon anomalous absorption of neutron partial waves by nuclear optical potential,
where j is the total angular momentum, l is the angular momentum, cm E the centre of
mass energy and A the mass of the nucleus. The striking feature of this phenomenon is
systematic in various parameter ( f ,l, E , A) cm planes. Among them, systematic in
⎟⎠
⎞
⎜⎝
⎛ 3
1 , A
k
l plane is actually remarkable, which consists of straight lines. All straight lines
correspond to a definite node of wave functions associated with A k E l j cm , , , .
It is quite interesting to examine whether this phenomenon occurs in case of composite
projectiles such as d , He , etc.
Now, it has been shown (4) that this phenomenon is universal. The main purpose of this
paper is to report results of the case d − A after being rescrutinized by us. It is striking
that the systematic in ⎟
⎟
⎠
⎞
⎜ ⎜
⎝
⎛ + + +
3
1
2
,
( 1)
A
k
η η l l
plane is remarkably clearer than the
case of neutron. Here,
k
η + η 2 + l (l +1)
, the closest approach is physically meaningful
in case of the presence of the Coulomb potential.