Abstract
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.
Highlights
Charge-independence breaking (CIB) is well established in the two-nucleon (2N) system as evidenced e.g. by the values of the 1S0 scattering lengths, different for the neutron-proton, proton-proton, and neutron-neutron systems
Summary We investigated the importance of the scattering amplitude components with the total 3N isospin T = 3/2 in elastic nd scattering and in the deuteron breakup reaction
The inclusion of these components is required to account for CIB effects of the NN interaction
Summary
Charge-independence breaking (CIB) is well established in the two-nucleon (2N) system as evidenced e.g. by the values of the 1S0 scattering lengths, different for the neutron-proton (np), proton-proton (pp) (with the Coulomb force subtracted), and neutron-neutron (nn) systems. The detailed treatment of the 3N system with CIB NN forces in the case of distinguishable or identical particles was formulated and described in.[3] To investigate the role of the amplitude with the total three-nucleon (3N) isospin T = 3/2 in elastic neutron-deuteron (nd) scattering and in the deuteron breakup reaction and to check if conclusions depend on the employed dynamics we performed calculations of these processes using two different dynamical inputs.
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