scholarly journals Charge-independence breaking in the two-pion-exchange nucleon-nucleon force

1999 ◽  
Vol 60 (3) ◽  
Author(s):  
J. L. Friar ◽  
U. van Kolck

2018 ◽  
Vol 46 ◽  
pp. 1860050
Author(s):  
H. Witała ◽  
J. Golak ◽  
R. Skibiński ◽  
K. Topolnicki ◽  
H. Kamada

We discuss the importance of the three-nucleon isospin [Formula: see text] component in elastic neutron-deuteron scattering and in the deuteron breakup reaction. The contribution of this amplitude originates from charge-independence breaking of the nucleon-nucleon potential. We study the magnitude of that contribution to the elastic scattering and breakup observables, taking the Av18 nucleon-nucleon potential alone or combined with the Urbana IX three-nucleon force as well as the locally regularized chiral N4LO nucleon-nucleon potential alone or supplemented by the chiral N2LO three-nucleon force. We find that the isospin [Formula: see text] component is important for the breakup reaction and the proper treatment of charge-independence breaking in this case requires the inclusion of the [Formula: see text] state with isospin [Formula: see text]. For neutron-deuteron elastic scattering the [Formula: see text] contributions are insignificant and charge-independence breaking can be accounted for by neglecting [Formula: see text] component and using the effective t-matrix generated with the so-called [Formula: see text] rule.





2018 ◽  
Vol 46 ◽  
pp. 1860051
Author(s):  
R. Skibiński ◽  
Yu. Volkotrub ◽  
J. Golak ◽  
K. Topolnicki ◽  
H. Witała

Faddeev formalism is used to study the propagation of theoretical uncertainties from the two-nucleon force to three-nucleon scattering observables. Predictions are obtained with the One-Pion-Exchange Gaussian interaction, for which correlations between its parameters are known. Within the Monte Carlo approach we are able to estimate uncertainties of three-nucleon observables arising from the imprecise knowledge of the One-Pion-Exchange Gaussian potential parameters. We found that the uncertainties of this type are small for three-nucleon elastic scattering cross section at investigated here energies up to the nucleon laboratory energy of 200 MeV. They remain smaller than the dominant theoretical uncertainty arising from using various models of nucleon-nucleon interactions. We also compare the above-mentioned results with other types of theoretical uncertainties, that is with the ones stemming from order truncation errors and regulator dependencies, present in calculations based on the chiral interaction.



1995 ◽  
Vol 51 (1) ◽  
pp. 38-51 ◽  
Author(s):  
R. B. Wiringa ◽  
V. G. J. Stoks ◽  
R. Schiavilla


1995 ◽  
Author(s):  
R B Wiringa ◽  
V G.J. Stoks ◽  
R Schiavilla


2003 ◽  
Vol 18 (21) ◽  
pp. 3629-3636 ◽  
Author(s):  
G. H. Bordbar

The effects of charge independence breaking of nucleon–nucleon interaction on the bulk properties of nuclear matter are investigated. Our results indicate that at high densities, the inclusion of charge dependence in the nucleon–nucleon potential affects the bulk properties of nuclear matter. However, at low densities, this effect is not considerable. It is seen that the change of our results for the nuclear matter calculations due to the breaking of the charge independence increases by increasing density. It is shown that the energy contribution of the 1S0 channel is sensitive to considering the charge dependence in the nucleon–nucleon interaction. It is indicated that the effects of charge independence breaking on the calculated equation of state of nuclear matter can be ignored.



Universe ◽  
2021 ◽  
Vol 7 (6) ◽  
pp. 203
Author(s):  
Peter Shternin ◽  
Isaac Vidaña

We consider transport properties of the hypernuclear matter in neutron star cores. In particular, we calculate the thermal conductivity, the shear viscosity, and the momentum transfer rates for npΣ−Λeμ composition of dense matter in β–equilibrium for baryon number densities in the range 0.1–1 fm−3. The calculations are based on baryon interactions treated within the framework of the non-relativistic Brueckner-Hartree-Fock theory. Bare nucleon-nucleon (NN) interactions are described by the Argonne v18 phenomenological potential supplemented with the Urbana IX three-nucleon force. Nucleon-hyperon (NY) and hyperon-hyperon (YY) interactions are based on the NSC97e and NSC97a models of the Nijmegen group. We find that the baryon contribution to transport coefficients is dominated by the neutron one as in the case of neutron star cores containing only nucleons. In particular, we find that neutrons dominate the total thermal conductivity over the whole range of densities explored and that, due to the onset of Σ− which leads to the deleptonization of the neutron star core, they dominate also the shear viscosity in the high density region, in contrast with the pure nucleonic case where the lepton contribution is always the dominant one.



1968 ◽  
Vol 176 (5) ◽  
pp. 1762-1768 ◽  
Author(s):  
W. R. Wortman


1974 ◽  
Vol 10 (3) ◽  
pp. 815-823 ◽  
Author(s):  
G. E. Bohannon ◽  
Peter Signell


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