Nuclear Data Sheets for A = 228

Artna-Cohen, Agda

doi:10.1006/ndsh.1997.0007

Cited by 57 publications

(23 citation statements)

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“…A full diagonalization of the Hamiltonian matrix for each J value is necessary, with the final result hopefully coming out close enough to the strong coupling limit for the labeling in terms of K to still be useful. This is clearly seen in the cases of 16 O [27], 24 Mg [28], and 40 Ca [29] when coupledchannels calculations are carried out including 0 + ground and 2 + excited states of the core. It is interesting to note that in these cases the energies of the K π = 1 + band are staggered so that they fall on either side of the collective-rotational model dependence on L(L + 1) − K 2 , whereas the other K-band energies follow the rotational model values much more closely.…”

Section: Lifting the Degeneracy: Strong And Weak Couplingmentioning

confidence: 83%

“…This counts against "easy" population of any K π = 1 + bandhead in heavyion reactions. (iv) The staggering of the energies in the 1 + band (as seen in 16 O [27], 24 Mg [28], 40 Ca [29], and similarly in the 1 − band in 238 U [31,32]) makes it difficult to identify the band when its behavior is unanticipated, in contrast to the 0 + and 2 + band energies, which follow the expectations of the collective-rotational model much more closely.…”

Section: Lifting the Degeneracy: Strong And Weak Couplingmentioning

confidence: 86%

“…(24), (25), and (26) tell us that all states with J |K| have the same energy E K . The different |K| I thus each correspond to a K band generated by coupling the excitation I of the even-even core to the cluster-core relative rotational motion.…”

Section: Generating the K Bandsmentioning

confidence: 96%

“…This is shown in Fig. 1 for the four actinide nuclei 222 Ra [1,23], 228 Th [1,24], 232 U [1,25], and 236 Pu [1,26] modeled as 208 Pb + 14 C, 20 O, 24 Ne, and 28 Mg, respectively, where we plot the radial wave functions u L (R) obtained from a numerical solution of the Schrödinger equation for the potential V (R) described above and the L values of 0, 4, 8, 12, 16, and 20. The main differences between the radial wave functions for a given nucleus occur close to the origin and are due to the node number differences.…”

Section: Cluster Modelmentioning

confidence: 96%

“…. , are observed in even-even nuclei across the Periodic Table. They are present in light nuclei, such as 8 Be [1,2], 16 O [1,3], and 24 Mg [1,4] through regions of strong deformation in the rare-earth region and beyond into the trans-Pb and Actinide nuclei [1]. Excited sequences of states having angular momenta J = K, (K + 1), (K + 2), .…”

Section: Introductionmentioning

confidence: 99%

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Generation of excitedKbands in heavy nuclei

2011

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It is known that coupling an intrinsic excitation of integer spin and positive parity I + to a rotor having a degenerate set of states L π = 0 + , 2 + , 4 + , . . . , generates a series of K bands. A given value of I + gives rise to several bands labeled by K + = 0 + , 1 + , 2 + , . . . , I + , that is, a total of (I + 1) such bands, in the spectrum of the combined system. We discuss how a binary cluster model of an excited core orbited by a spinless cluster can approximate these conditions. A crucial point is that the radial wave functions of relative motion are very similar for low L, and their radial coupling integrals even more so, such that the wave functions play the model role of a common intrinsic state for the lowest excited states of the system. If the core has a 0 + ground state and a low-lying 2 + excited state, then lifting the degeneracy leads to a ground state K + = 0 + band and low-lying excited K + = 0 + , 1 + , and 2 + bands. Although these are all seen in light nuclei, the K + = 1 + band is conspicuous by its apparent absence in heavy nuclei, and we urge experimental groups to reexamine their data for signs of it.

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Section: Lifting the Degeneracy: Strong And Weak Couplingmentioning

confidence: 83%