Springer Tracts in Modern Physics, Volume 41

STRUCTURE OF A=6 NUCLEI: 6He, 6Li AND 6Be

“…Let us look into this equivalence, simultaneous existence and non-orthogonality of (α-d) and (h-t) cluster structures of 6 Li. Before we do this, let us point out one further information on 6 Li, which is anathema for all other models. This is the study of beta-delayed deuteron emission in 6 He and beta-delayed triton emission in 8 He [16,17].…”

“…Before we do this, let us point out one further information on 6 Li, which is anathema for all other models. This is the study of beta-delayed deuteron emission in 6 He and beta-delayed triton emission in 8 He [16,17]. The most established beta decay of 6 He is to the 1 + ground state of 6 Li.…”

Non-local potentials and rotational bands of resonances in ion collisions

“…describe respectively the relative motion of the clusters and the motion of their center of mass. Then, we use the following identity [10]:…”

“…The nucleon-nucleon interaction that accounts for the exchange, and that is used in the antisymmetrization process is generally represented by a potential of gaussian form [10]: V p,q ∝ V 0 exp(−K ′ |r p − r q | 2 ){w(1 + P r pq )}, P r pq being the operator that exchanges the space coordinates of the p-th and q-th nucleons, and w a constant. A minimization of functionals, in the sense of Ritz variational calculus [10], in which the nucleon-nucleon interaction is described by both harmonic and exchange potentials of gaussian form, yields Euler-Lagrange equations which contain, in addition to potentials of the form V D (| R|), also non-local potentials of the form V ( R, R ′ ) that still preserve the rotational invariance in a sense that will be clarified below. Working out the problem in this scheme, all the methods in use (i.e., resonating group, complex generator coordinate and cluster coordinate methods) lead to an integro-differential equation of the form [10]:…”

“…A minimization of functionals, in the sense of Ritz variational calculus [10], in which the nucleon-nucleon interaction is described by both harmonic and exchange potentials of gaussian form, yields Euler-Lagrange equations which contain, in addition to potentials of the form V D (| R|), also non-local potentials of the form V ( R, R ′ ) that still preserve the rotational invariance in a sense that will be clarified below. Working out the problem in this scheme, all the methods in use (i.e., resonating group, complex generator coordinate and cluster coordinate methods) lead to an integro-differential equation of the form [10]:…”