Charge dependence in the triton

Abstract

It is argued that the charge dependence of the nuclear force (V""&V'"p) can be accounted for exactly in triton binding energy calculations to first order in the difference V""-V'"p by replacing the 'So interaction by the potential combination 3 V + 3 V p.

Isoscalar Hamiltonians for light atomic nuclei

“…which agrees with the results obtained in [6] using the same nucleon mass and in [7] for the charge-independent potential in the 1 S 0 state. The equivalent charge-independent potential is…”

“…So, the isoscalar Hamiltonians that we introduce are different for different nuclei and even for different states of the same nucleus. The derived values for the nucleon mass and the NN interaction must satisfy minimal requirements (e.g., for systems composed only of neutrons, the nucleon mass formula must give the neutron mass and the NN interaction must reduce to the potential of the neutron-neutron interaction) and must also be equal to the corresponding values for non-trivial cases suggested for three-nucleon nuclei in earlier publications [6], [7].…”

Shell-model calculations for the three-nucleon system

“…In the calculations we use the Nijmegen II nucleon-nucleon potential [14] corrected in the 1 P 1 wave [15], and the Reid93 nucleon-nucleon potential [14]. We work in the isospin formalism; the charge invariant potential V N = 2 3 V nn + 1 3 V np is used for each T = 1 wave [16].…”

“…In addition to the calculations discussed so far, we also computed properties of 3 He, with the focus on obtaining the binding-energy difference between 3 H and 3 He. In those calculations the Coulomb potential was added to the proton-proton potential and the averaged potential V N = 2 3 V pp + 1 3 V np was eventually used for each T = 1 wave [16]. The binding-energy differences obtained using the Reid93 potential and hΩ = 19 and 24 MeV are presented in Fig.…”

Triton calculations with the new Nijmegen potentials

“…While it is not yet possible to resolve problems with the three-nucleon forces and with relativistic corrections, it should be possible to eliminate much of the uncertainty associated with the two-nucleon force. In the triton the charge dependence of the nuclear force can be taken into account by using an effective charge-symmetric 1 S 0 force given by [15]…”