Nuclear Data Sheets for A = 116

Abstract

This evaluation for A=116 updates one by

Alternative solvable description of the E(5) critical point symmetry in the interacting boson model

“…Though analytical expression of (43) in terms of arbitrary N is impossible, one can numerically calculate (43) for finite N cases. For example, one can verify that the expressions shown in (36) and (37) are indeed valid by using (43) and the basis vectors shown in (38). The matrix elements ofĤ ext = −g 2 ∑ ∞ k=1 (S +k (20) can then be expressed simply as…”

“…108 Pd, and 114,116 Cd, where "-" denotes either that the corresponding B(E2) value was not determined experimentally, or that the theoretical value was not provided in [9], the experimental data of 104 Ru were taken from [32][33][34], those of 108 Pd were taken from [35], those of 114 Cd were taken from [36], and those of 116 Cd were taken from [37,38], CQ N denotes the consistent-Q description at the critical point with N bosons. E(5) 104 Ru EXT SET 108 Pd EXT SET 116 Cd EXT SET CQ 8 114 Cd EXT SET CQ 9 0 + 1 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2 + 1 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1 …”

“…For given N, by using the (38), expectation value of any operatorÔ under the intrinsic state (34) may be expressed as…”

“…Since the Hamiltonian (20) keeps τ unchanged, and is independent of quantum numbers of the O(5) subgroups, (42) can be simplified as (34), (38), and the method proposed in [27].…”

“…Thus, we calculated c|Ĥ c |c using the explicit form shown in (34) and (38) for some finite N cases with the parameters of (20) in fitting the E(5) results. When N = 10 for example, we obtain …”