Cluster radioactive decay within the preformed cluster model using relativistic mean-field theory densities

Journal Article · Thu Jul 15 04:00:00 EDT 2010 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.82.014607· OSTI ID:21389200

Singh, BirBikram; Patra, S K; Gupta, Raj K ^[1]

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1. Institute of Physics, Sachivalaya Marg, Bhubaneswar 751005 (India)

We have studied the (ground-state) cluster radioactive decays within the preformed cluster model (PCM) of Gupta and collaborators [R. K. Gupta, in Proceedings of the 5th International Conference on Nuclear Reaction Mechanisms, Varenna, edited by E. Gadioli (Ricerca Scientifica ed Educazione Permanente, Milano, 1988), p. 416; S. S. Malik and R. K. Gupta, Phys. Rev. C 39, 1992 (1989)]. The relativistic mean-field (RMF) theory is used to obtain the nuclear matter densities for the double folding procedure used to construct the cluster-daughter potential with M3Y nucleon-nucleon interaction including exchange effects. Following the PCM approach, we have deduced empirically the preformation probability P{sub 0}{sup emp} from the experimental data on both the alpha- and exotic cluster-decays, specifically of parents in the trans-lead region having doubly magic {sup 208}Pb or its neighboring nuclei as daughters. Interestingly, the RMF-densities-based nuclear potential supports the concept of preformation for both the alpha and heavier clusters in radioactive nuclei. P{sub 0}{sup a}lpha{sup (emp)} for alpha decays is almost constant (approx10{sup -2}-10{sup -3}) for all the parent nuclei considered here, and P{sub 0}{sup c(emp)} for cluster decays of the same parents decrease with the size of clusters emitted from different parents. The results obtained for P{sub 0}{sup c(emp)} are reasonable and are within two to three orders of magnitude of the well-accepted phenomenological model of Blendowske-Walliser for light clusters.

• OSTI ID: 21389200
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 1 Vol. 82; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALPHA DECAY
BARYON-BARYON INTERACTIONS
CLUSTER MODEL
DECAY
DENSITY
ENERGY LEVELS
ENERGY RANGE
EVEN-EVEN NUCLEI
GROUND STATES
HADRON-HADRON INTERACTIONS
HEAVY NUCLEI
INTERACTIONS
ISOTOPES
LEAD 208
LEAD ISOTOPES
MATHEMATICAL MODELS
MATTER
MEAN-FIELD THEORY
NUCLEAR DECAY
NUCLEAR MATTER
NUCLEAR MODELS
NUCLEAR POTENTIAL
NUCLEAR REACTIONS
NUCLEI
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PHYSICAL PROPERTIES
POTENTIALS
RELATIVISTIC RANGE
STABLE ISOTOPES