Particle decays of levels in N 11 , 12 O 12
T. B. WebbR. J. CharityJ. M. ElsonD. E. M. HoffC. D. PruittL. G. SobotkaK. W. BrownJ. BarneyG. CerizzaJ. EsteeG. JhangW. G. LynchJ. ManfrediP. MorfouaceC. SantamariaS. SweanyM. B. TsangT. TsangS. M. WangY. ZhangKejun ZhuS. A. KuvinD. G. McNeelJ. K. SmithA. H. WuosmaaZ. Chajȩcki
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Particle-decaying states of the light nuclei $^{11,12}\mathrm{N}$ and $^{12}\mathrm{O}$ were studied using the invariant-mass method. The decay energies and intrinsic widths of a number of states were measured, and the momentum correlations of three-body decaying states were considered. A second $2p$-decaying ${2}^{+}$ state of $^{12}\mathrm{O}$ was observed for the first time, and a higher-energy $^{12}\mathrm{O}$ state was observed in the $4p+2\ensuremath{\alpha}$ decay channel. This $4p+2\ensuremath{\alpha}$ channel also contains contributions from fissionlike decay paths, including $^{6}\mathrm{Be}_{\mathrm{g}.\mathrm{s}.}+^{6}\mathrm{Be}_{\mathrm{g}.\mathrm{s}.}$. Analogs to these states in $^{12}\mathrm{O}$ were found in $^{12}\mathrm{N}$ in the $2p+^{10}\mathrm{B}$ and $2p+\ensuremath{\alpha}+^{6}\mathrm{Li}$ channels. The momentum correlations for the prompt $2p$ decay of $^{12}\mathrm{O}_{\mathrm{g}.\mathrm{s}.}$ were found to be nearly identical to those of $^{16}\mathrm{Ne}_{\mathrm{g}.\mathrm{s}.}$, and the correlations for the new ${2}^{+}$ state were found to be consistent with sequential decay through excited states in $^{11}\mathrm{N}$. The momentum correlations for the ${2}_{1}^{+}$ state in $^{12}\mathrm{O}$ provide a new value for the $^{11}\mathrm{N}$ ground-state energy. The states in $^{12}\mathrm{N}/^{12}\mathrm{O}$ that belong to the $A=12$ isobaric sextet do not deviate from the quadratic isobaric multiplet mass equation form.Keywords:
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The main ingredient for local superconformal methods is the multiplet of gauge fields: the Weyl multiplet. We construct the transformations of this multiplet for $\mathcal{N}=3$, $D = 4$. The construction is based on a supersymmetry truncation from the $\mathcal{N}=4$ Weyl multiplet, on coupling with a current multiplet, and on the implementation of a soft algebra at the nonlinear level, extending su$(2, 2|3)$. This is the first step towards a superconformal calculus for $\mathcal{N}=3$, $D = 4$.
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The structures of two couples of mirror nuclei ^17F and ^17O, ^17Ne and ^17N in the ground state and in the first excited state are investigated using the relativistic mean-field approach. Two-proton halo in ^17Ne in the first excited state and in the ground state and two-neutron halo in ^17N in the first excited state are suggested.Meanwhile, one-proton halo in ^17F in the first excited state and one-neutron halo in ^17O in the first excited state are also suggested. The skin structure appears in ^17F and ^17N in the ground state.
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We address the degeneracy of the ground state multiplet on the 5$d^1$ Re$^{6+}$ ion in double perovskite Ba$_{2}$MgReO$_{6}$ using a combination of specific heat measurements and density functional calculations. For Ba$_{2}$MgReO$_{6}$, two different ground state multiplets have previously been proposed - a quartet (with degeneracy $N$=4) [1] and a doublet ($N$=2) [2]. Here we employ two independent methods for the estimation of phonon contribution in heat capacity data to obtain the magnetic entropy $S_{mag}$, which reflects the degeneracy of the ground state multiplet $N$ through $S_{mag}=R$ln$N$. In both cases, we obtain a better fit to $S_{mag}=R$ln2 indicating evidence of $N$=2 degeneracy in the range from 2 to 120~K. The detailed nature of the ground state multiplet in Ba$_{2}$MgReO$_{6}$ remains an open question.
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The main ingredient for local superconformal methods is the multiplet of gauge fields: the Weyl multiplet. We construct the transformations of this multiplet for $\mathcal{N}=3$, $D = 4$. The construction is based on a supersymmetry truncation from the $\mathcal{N}=4$ Weyl multiplet, on coupling with a current multiplet, and on the implementation of a soft algebra at the nonlinear level, extending su$(2, 2|3)$. This is the first step towards a superconformal calculus for $\mathcal{N}=3$, $D = 4$.
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The mass ratios for the U(4) terms of the 20-multiplet were determined with an accuracy to isotropic splitting. The possibility of including the Y meson in the 20-multiplet composition, which is consistent with the existing experimental data, is considered. The mixing angles in the (20+1) multiplet and the masses of the terms of the 20-multiplet of the I/sup - -/ mesons are determined.
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High-precision mass determinations have now been made for all four members of the lowest two $T=\frac{3}{2}$ states in the $A=25$ system. The results are used to compute the coefficients of the isobaric-mass-multiplet equation.
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