Triplet-odd nucleon–nucleon interaction and spin-orbit splitting

1969 ◽  
Vol 47 (7) ◽  
pp. 823-826 ◽  
Author(s):  
J. M. Pearson ◽  
G. Saunier ◽  
F. Trudeau ◽  
P. Desgrolard

Three different triplet-odd N–N potentials, all of which have some measure of conformity to meson theory, are shown to lead to approximately correct spin-orbit splittings in several dcs ± 1 nuclei.

2021 ◽  
Vol 57 (9) ◽  
Author(s):  
Shihang Shen ◽  
Timo A. Lähde ◽  
Dean Lee ◽  
Ulf-G. Meißner

AbstractWe present lattice calculations of the low-lying spectrum of $$^{12}$$ 12 C using a simple nucleon–nucleon interaction that is independent of spin and isospin and therefore invariant under Wigner’s SU(4) symmetry. We find strong signals for all excited states up to $$\sim 15$$ ∼ 15  MeV above the ground state, and explore the structure of each state using a large variety of $$\alpha $$ α cluster and harmonic oscillator trial states, projected onto given irreducible representations of the cubic group. We are able to verify earlier findings for the $$\alpha $$ α clustering in the Hoyle state and the second $$2^+$$ 2 + state of $$^{12}$$ 12 C. The success of these calculations to describe the full low-lying energy spectrum using spin-independent interactions suggest that either the spin-orbit interactions are somewhat weak in the $$^{12}$$ 12 C system, or the effects of $$\alpha $$ α clustering are diminishing their influence. This is in agreement with previous findings from ab initio shell model calculations.


1995 ◽  
Vol 10 (30) ◽  
pp. 2297-2304 ◽  
Author(s):  
M.M. MUSAKHANOV ◽  
A.M. RAHIMOV

The problem of missing the central attraction in the NN interaction has been reinvestigated within the effective meson theory, based on chiral and conformal anomalies of QCD. The parameters of the model are chosen to describe correctly Fπ, gπNN and N−Δ mass splitting. The resulting central scalar-isoscalar part of the potential is in qualitative agreement with phenomenological one.


1950 ◽  
Vol 5 (2) ◽  
pp. 318-318
Author(s):  
F. Fujimoto ◽  
S. Hayakawa ◽  
Y. Yamaguchi

1965 ◽  
Vol 138 (1B) ◽  
pp. B145-B162 ◽  
Author(s):  
A. Scotti ◽  
D. Y. Wong

1973 ◽  
Vol 44 (1) ◽  
pp. 1-4 ◽  
Author(s):  
R. Vinh Mau ◽  
J.M. Richard ◽  
B. Loiseau ◽  
M. Lacombe ◽  
W.N. Cottingham

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