We study two-dimensional （2D） matter-wave solitons in the mean-field models formed by electric quadrupole particles with long-range quadrupoleluadrupole interaction （QQI） in 2D free space. The existence of 2D matt...We study two-dimensional （2D） matter-wave solitons in the mean-field models formed by electric quadrupole particles with long-range quadrupoleluadrupole interaction （QQI） in 2D free space. The existence of 2D matter-wave solitons in the free space was predicted using the 2D Gross Pitaevskii Equation （GPE）. We find that the QQI solitoms have a higher mass （smaller size and higher intensity） and stronger anisotropy than the dipol^dipole interaction （DDI） solitons under the same environmental parameters. Anisotropic solitomsoliton interaction between two identical QQI solitons in 2D free space is studied. Moreover, stable anisotropic dipole solitons are observed, to our knowledge, for the first time in 2D free space under anisotropic nonlocal cubic nonlinearity.展开更多
A new scheme was recently proposed in which the usual SU（3） quadrupole-quadrupole interaction was replaced by an O（6） cubic interaction in the Interacting Boson Model, and also successfully applied to the descript...A new scheme was recently proposed in which the usual SU（3） quadrupole-quadrupole interaction was replaced by an O（6） cubic interaction in the Interacting Boson Model, and also successfully applied to the description of 152Sm for the N=90 rare earth isotones with X（5） symmetry. By using this new scheme, in the present work, we further explore the properties of another candidate of 150Nd for the N=90 with X（5） symmetry. The low-lying energy levels and E2 transition rates are calculated and compared with the experimental data. The results show that the new scheme can also reasonably describe the experimental low-lying spectrum and the intraband and the interband E2 transitions for 150Nd. However, for the low-lying spectrum, the O（6） cubic interaction seems better in describing the energy levels, especially in higher excited states and γ band, yet the 02＋ level within the β band is lower than the corresponding experimental value and the U（5）-SU（3） scheme seems better to describe the low-lying levels of β band; and for the B（E2） transition, for the intraband transitions within the ground band and some interband transitions between the β band and the ground band, the results from O（6） cubic interaction are better than those from SU（3） quadrupole-quadrupole interaction, yet of which seems better to describe the intraband E2 transitions within β band. The present work is very meaningful in helping us to understand in depth the new characteristics of symmetry by the higher order O（6） cubic interaction.展开更多
文摘We study two-dimensional （2D） matter-wave solitons in the mean-field models formed by electric quadrupole particles with long-range quadrupoleluadrupole interaction （QQI） in 2D free space. The existence of 2D matter-wave solitons in the free space was predicted using the 2D Gross Pitaevskii Equation （GPE）. We find that the QQI solitoms have a higher mass （smaller size and higher intensity） and stronger anisotropy than the dipol^dipole interaction （DDI） solitons under the same environmental parameters. Anisotropic solitomsoliton interaction between two identical QQI solitons in 2D free space is studied. Moreover, stable anisotropic dipole solitons are observed, to our knowledge, for the first time in 2D free space under anisotropic nonlocal cubic nonlinearity.
基金Supported by Natural Science Foundation of Liaoning Scientific Committee(2013020091)National Natural Science Foundationof China(11375080,10975068)
文摘A new scheme was recently proposed in which the usual SU（3） quadrupole-quadrupole interaction was replaced by an O（6） cubic interaction in the Interacting Boson Model, and also successfully applied to the description of 152Sm for the N=90 rare earth isotones with X（5） symmetry. By using this new scheme, in the present work, we further explore the properties of another candidate of 150Nd for the N=90 with X（5） symmetry. The low-lying energy levels and E2 transition rates are calculated and compared with the experimental data. The results show that the new scheme can also reasonably describe the experimental low-lying spectrum and the intraband and the interband E2 transitions for 150Nd. However, for the low-lying spectrum, the O（6） cubic interaction seems better in describing the energy levels, especially in higher excited states and γ band, yet the 02＋ level within the β band is lower than the corresponding experimental value and the U（5）-SU（3） scheme seems better to describe the low-lying levels of β band; and for the B（E2） transition, for the intraband transitions within the ground band and some interband transitions between the β band and the ground band, the results from O（6） cubic interaction are better than those from SU（3） quadrupole-quadrupole interaction, yet of which seems better to describe the intraband E2 transitions within β band. The present work is very meaningful in helping us to understand in depth the new characteristics of symmetry by the higher order O（6） cubic interaction.
