Tensor-optimized shell model for the Li isotopes with a bare nucleon-nucleon interaction

Abstract

We study the Li isotopes systematically in terms of the tensor-optimized shell model (TOSM) by using a bare nucleon-nucleon interaction as the AV8 ′ interaction. The short-range correlation is treated in the unitary correlation operator method (UCOM). Using the TOSM+UCOM approach, we investigate the role of the tensor force on each spectrum of the Li isotopes. It is found that the tensor force produces quite a characteristic effect on various states in each spectrum and those spectra are affected considerably by the tensor force. The energy difference between the spin-orbit partner, the p 1/2 and p 3/2 orbits of the last neutron, in 5 Li is caused by opposite roles of the tensor correlation. In 6 Li, the spin-triplet state in the LS coupling configuration is favored energetically by the tensor force in comparison with jj coupling shell model states. In 7,8,9 Li, the low-lying states containing extra neutrons in the p 3/2 orbit are favored energetically due to the large tensor contribution to allow the excitation from the 0s-orbit to the p 1/2 orbit by the tensor force. Those three nuclei show the jj coupling character in their ground states which is different from 6 Li.

Erratum: Investigation of the3/22−state ofLi9with microscopic structure and

“…[7] Ref. [8] Ref. [11] This work other hand, the neutron and matter radii well agree with the experimental data of Ref.…”

“…For the study of the halo nucleus, the importance of the core excitation effect has been recently reported in the 8 B elastic scattering on the 12 C target [3]. In addition, Moro and his collaborators have shown such important role of the core excitation effect of the 11 Be nucleus in the inelastic and breakup cross sections [4][5][6].…”

“…In addition, Moro and his collaborators have shown such important role of the core excitation effect of the 11 Be nucleus in the inelastic and breakup cross sections [4][5][6]. Both of the 8 B and 11 Be nuclei have "a valence nucleon + core nucleus" structure (p + 7 Be and n + 10 Be structure for 8 B and 11 Be, respectively). Here the separation energy of the valence nucleon is only the order of several hundred keV.…”

“…From the shell model side, the so-called ab initio approach, such as the no-core shell model calculation, is feasible for the low-lying states [7]. Also the contribution of the tensor force is investigated with the tensor optimized shell model calculation [8]. In addition, the 9 Li nucleus is described with the α + t + n + n cluster model [9], which also well reproduces the properties of the low-lying states in the comparison with the experimental data.…”

Evidence of Soft Dipole Resonance inLi11with Isoscalar Character

“…The excitation energies of the 3/2 + and 5/2 + dipole resonances are predicted to have a strong dependence on the s 2 component in the wavefunction of 11 Li. On the other hand in the the tensor-optimized shell model (TOSM) [28,29]. the tensor correlation in 9 Li is variationally treated by including the high momentum component of 2p2h states in the configuration mixings.…”