scholarly journals A new scheme for heavy nuclei: proxy-SU(3)

2019 ◽  
Vol 25 ◽  
pp. 6
Author(s):  
D. Bonatsos ◽  
R. F. Casten ◽  
A. Martinou ◽  
I. E. Assimakis ◽  
N. Minkov ◽  
...  

The SU(3) symmetry realized by J. P. Elliott in the sd nuclear shell is destroyed in heavier shells by the strong spin-orbit interaction. However, the SU(3) symmetry has been used for the description of heavy nuclei in terms of bosons in the framework of the Interacting Boson Approximation, as well as in terms of fermions using the pseudo-SU(3) approximation. We introduce a new fermionic approximation, called the proxy-SU(3), and we discuss how some of its novel predictions come out as a consequence of the short range of the nucleon-nucleon interaction and the Pauli principle.

1987 ◽  
Vol 62 (2-4) ◽  
pp. 347-353
Author(s):  
I. Lovas ◽  
Erika Lovas ◽  
K. Sailer

1999 ◽  
Vol 08 (02) ◽  
pp. 137-157 ◽  
Author(s):  
S. M. KRAVCHENKO ◽  
A. P. SOZNIK

An expression for the real part of the optical potential of nucleon interaction with odd nuclei is derived in the Hartree-Fock approximation with effective density-dependent nucleon-nucleon interaction. It is shown for 13 C nucleus, as an example, that this potential contains the central interaction, as well as two spin-orbit forces connected with the spins of scattered nucleon and nucleus, and quite strong spin-spin and tensor interactions. The simple analytical expressions have been obtained for these potentials. The radial distributions of the interactions obtained and their energy dependences are investigated. It is shown that all potentials differ for neutron and proton scattering while the spin-spin and tensor forces in both cases have opposite signs, complicated radial dependences and are the same by an order of magnitude on the nuclear surface.


2021 ◽  
Vol 38 (10) ◽  
pp. 101201
Author(s):  
Ming-Zhu Liu ◽  
Li-Sheng Geng

Since Yukawa proposed that the pion is responsible for mediating the nucleon-nucleon interaction, meson exchanges have been widely used in understanding hadron-hadron interactions. The most studied mesons are the σ, π, ρ, and ω, while other heavier mesons are often argued to be less relevant because they lead to short range interactions. However, whether the range of interactions is short or long should be judged with respect to the size of the system studied. We propose that one charmonium exchange is responsible for the formation of the ΩcccΩccc dibaryon, recently predicted by lattice QCD simulations. The same approach can be extended to the strangeness and bottom sectors, leading to the prediction on the existence of ΩΩ and ΩbbbΩbbb dibaryons, while the former is consistent with the existing lattice QCD results, the latter remains to checked. In addition, we show that the Coulomb interaction may break up the ΩcccΩccc pair but not the ΩbbbΩbbb and ΩΩ dibaryons.


2001 ◽  
Vol 27 (9) ◽  
pp. 1851-1868 ◽  
Author(s):  
Vladimir I Kukulin ◽  
I T Obukhovsky ◽  
V N Pomerantsev ◽  
Amand Faessler

2005 ◽  
Vol 20 (08n09) ◽  
pp. 1994-1997 ◽  
Author(s):  
L. R. DAI ◽  
Z. Y. ZHANG ◽  
Y. W. YU

We give the comparisons between the chiral SU (3) quark model and the extended chiral SU (3) quark model. The results show that the phase shifts of NN scattering are very similar. However, the short range mechanisms of nucleon-nucleon interaction are totally different. In the chiral SU (3) quark model, the short range interaction is dominantly from OGE, and in the extended chiral SU (3) quark model, it is dominantly from vector meson exchanges.


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