Abstract
With in the dynamical cluster-decay model (DCM), the compound nucleus fusion/ formation probability PCN is defined for the first time, and its variation with CN excitation energy E* and fissility parameter χ is studied. In DCM, the (total) fusion cross section σfusion is sum of the compound nucleus (CN) and noncompound nucleus (nCN) decay processes, each calculated as the dynamical fragmentation process. The CN cross section σCN is constituted of the evaporation residues (ER) and fusion-fission (ff), including the intermediate mass fragments (IMFs), each calculated for all contributing decay fragments (A1, A2) in terms of their formation and barrier penetration probabilities P0 and P. The nCN cross section σnCN is determined as the quasi-fission (qf) process where P0=1 and P is calculated for the entrance channel nuclei. The calculations are presented for six different target-projectile combinations of CN mass A~100 to superheavy, at various different center-of-mass energies with effects of deformations and orientations of nuclei included in it. Interesting results are that the PCN=1 for complete fusion, but PCN <1 or ≪1 due to the nCN conribution, depending strongly on both E* and χ.
Highlights
The compound nucleus formation/ fusion probaility PCN is the least understood, but an important quantity in the study of heavy ion reactions
We introduce for the first time the definition of PCN in to the dynamical clusterdecay model (DCM) of Gupta and collaborators [5,6,7,8,9,10,11,12,13], applied to reactions having non-zero non-compound nucleus (nCN) contribution
Knowing that the compound nucleus fusion/ formation probability PCN is not yet investigated in detail, it is of interest to see its variation with center-of-mass energy Ec.m., CN charge ZCN, its excitation energy E∗, the fissility parameter χ = (Z2/A)/48, the reaction entrance channels in terms of quantities such as the product Z1Z2, etc
Summary
The compound nucleus formation/ fusion probaility PCN is the least understood, but an important quantity in the study of heavy ion reactions. The DCM, based on the quantum mechanical fragmentation theory (QMFT), is worked out in terms of the collective coordinates of mass [and charge] asymmetries η = (A1 − A2)/(A1 + A2) [and ηZ = (Z1 − Z2)/(Z1 + Z2)], and relative separation R, with multipole deformations βλi (λ=2,3,4; i=1,2), and orientations θi In terms of these coordinates, for each fragmentation (A1, A2), we define the compound nucleus decay/ formation cross section for partial waves as σ. PCN gives the content of CN formation in the total fusion cross section
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