Sub-barrier fusion in generalized boson models

Abstract

The interacting boson model with s and d bosons has been used to describe the nuclear structure effects in sub-barrier fusion. We generalize the previous formalism to include arbitrary kinds of bosons in the target nucleus and investigate whether g bosons have any discernible effect on fusion reactions. In particular, we compare the fusion cross sections, barrier distributions, and the average angular momentum of the compound nucleus in the sd and sdg boson models.PACS number(s): 21.60.Fw, 25.70. Jj, 24.10.Eq

Quantum tunneling in nuclear fusion

“…(10) represents the experimental data for the total fusion cross section rather well (Balantekin and Reimer, 1986;Dasgupta et al, 1991;Balantekin et al, 1996). Differentiating Eq.…”

“…These effects were discussed by Balantekin et al (1993) using the IBM in the limit of zero excitation energy (cf. Section IV B).…”

“…110 Pd is a vibrational nucleus whose twoquadrupole-phonon triplet is well known. Simplified coupled-channels calculations for these systems are performed by Stefanini et al (1995c) and by DeWeerd (1996). Stefanini et al (1995c), using the method of Kruppa et al (1993), assumed a constant coupling explicitly including the finite Q value of the coupled channels.…”

“…DeWeerd (1996) first numerically calculated quadrupole matrix elements between different states using the PHINT code (Scholten, 1991) and then numerically obtained eigenvalues and the associated weights (cf. Eq.…”

Symmetries, Supersymmetries, and Pairing in Nuclei

“…This is why the path integral method is very convenient when the internal structure is represented by an algebraic model such as the Interacting Boson Model. Using this approach it is possible to do systematic studies of subbarrier fusion cross sections [34] as well as other observables [35] not only for nuclei that are described by the dynamical symmetry limits, but also for transitional nuclei.…”