Anomalous Absorption of Deuteron Partial Waves by Nuclear Optical Potential

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.