Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2008-10-14
Phys.Rev.C78:041304,2008
Physics
Nuclear Physics
Nuclear Theory
5pages, 1figure. Phys. Rev. C, rapid communications, in press
Scientific paper
10.1103/PhysRevC.78.041304
Magnetic dipole(M1) transitions of N=11 nuclei, $^{17}$C and $^{21}$Ne are investigated by using shell model and deformed Skyrme Hartree-Fock+blocked BCS wave functions. Shell model calculations predict well observed energy spectra and magnetic dipole transitions in $^{21}$Ne, while the results are rather poor to predict these observables in $^{17}$C. In the deformed HF calculations, the ground states of two nuclei are shown to have large prolate deformations close to $\beta_2$=0.4. It is also pointed out that the first $K^{\pi}=1/2^+$ state in $^{21}$Ne is prolately deformed, while the first $K^{\pi}=1/2^+$ state in $^{17}$C is predicted to have a large oblate deformation being close to the ground state in energy, We point out that experimentally observed large hindrance of M1 transition between $I^{\pi}=1/2^+$ and $3/2^+$ in $^{17}$C can be attributed to a shape coexistence near the ground state of $^{17}$C.
Sagawa Hiroyuki
Suzuki Toshio
Yoshida Naoki
Zhou Xian-Rong
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