Analysis of the unbound spectrum of 12Li

Xu, Zhenxiang; Liotta, R. J.; Qi, Chong; Roger, T.; Roussel‐Chomaz, P.; Savajols, H.; Wyss, R.

doi:10.1016/j.nuclphysa.2010.12.003

Cited by 9 publications

(8 citation statements)

References 32 publications

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“…The resonance states, which have definite intuitive meanings, have proved to be very useful in describing weakly bound or unbound states of nuclei [2], unlike antibound states, whose exponential tail, exp(γ r), looks unphysical. However, the inclusion of an antibound state of 10 Li [3] in the description of 11,12 Li was found to be meaningful [4][5][6][7]. This shows that antibound states and the corresponding S-matrix poles ("antibound poles") do deserve some attention.…”

Section: Introductionmentioning

confidence: 99%

Antibound poles in cut-off Woods-Saxon and strictly finite-range potentials

et al. 2012

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The motion of l = 0 antibound poles of the S matrix with varying potential strength is calculated in a cut-off Woods-Saxon (WS) potential and in a potential that goes to zero smoothly at a finite distance and is exactly zero beyond [P. Salamon and T. Vertse, Phys. Rev. C 77, 037302 (2008)]. The pole positions of the antibound states as well as of the resonances depend on the cutoff radius, especially for higher node numbers. The starting points (at potential zero) of the pole trajectories correlate well with the range of the potential. The normalized antibound radial wave functions on the imaginary k axis below and above the coalescence point have been found to be real and imaginary, respectively.

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Section: Introductionmentioning

confidence: 99%

Antibound poles in cut-off Woods-Saxon and strictly finite-range potentials

et al. 2012

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“…It may also provide a convenient starting point for a variety of shell model calculations in the continuum (see, e.g., Ref. [67]) and to explore the effect of the pairing correlation and deformation which may influence the shell structure.…”

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confidence: 99%

Shell evolution and its indication on the isospin dependence of the spin–orbit splitting

2013

Physics Letters B

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The available experimental data on shell evolution indicate that the strength of the spin-orbit single-particle potential may be enhanced in neutron-rich nuclei. We observe that such a simple scheme destroys the harmonic oscillator magic numbers N = 8 and 20 and generates new magic numbers like N = 6, 14, 16, 32 and 34. The traditional magic numbers like N = 28 and 50 and N = 14 seen in 22 O are eroded in neutron-rich nuclei due to the sensitivity of larger-l orbitals to the depth of the central potential but they are more robust than the harmonic oscillator magic numbers. The N = 82 shell closure persists in neutron-rich nuclei while the previously proposed shell closures like N = 40 and 70 do not emerge. Both mechanisms contribute to enhancing the N = 56 and 90 gaps by splitting the 1d 5/2 and 0g 7/2 and the 0h 9/2 and 1f 7/2 orbitals.

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“…Therefore, the fact that the excited states have not been seen in an experiment [71] is not unreasonable but is also not obvious. Recent theoretical calculations [74] predict the appearance of several excited states for 12 Li.…”

Section: Figure 11mentioning

confidence: 99%

Halo nuclei, stepping stones across the drip-lines

Simon

2013

Phys. Scr.

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Analysis of the unbound spectrum of 12Li

Cited by 9 publications

References 32 publications

Antibound poles in cut-off Woods-Saxon and strictly finite-range potentials

Antibound poles in cut-off Woods-Saxon and strictly finite-range potentials

Shell evolution and its indication on the isospin dependence of the spin–orbit splitting

Halo nuclei, stepping stones across the drip-lines

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