3D calculation of Tucson-Melbourne 3NF effect in triton binding energy

Details 3D calculation of Tucson-Melbourne 3NF effect in triton binding energy 3D calculation of Tucson-Melbourne 3NF effect in triton binding energy

2010-03-24

arxiv.org/abs/1003.4571v1

AIP Conf. Proc. -- August 4, 2010 -- Volume 1265, pp. 84-87

Physics

Nuclear Physics

Nuclear Theory

4 pages, 1 figure, 1 table.

Scientific paper

10.1063/1.3480267

As an application of the new realistic three-dimensional (3D) formalism reported recently for three-nucleon (3N) bound states, an attempt is made to study the effect of three-nucleon forces (3NFs) in triton binding energy in a non partial wave (PW) approach. The spin-isospin dependent 3N Faddeev integral equations with the inclusion of 3NFs, which are formulated as function of vector Jacobi momenta, specifically the magnitudes of the momenta and the angle between them, are solved with Bonn-B and Tucson-Melbourne NN and 3N forces in operator forms which can be incorporated in our 3D formalism. The comparison with numerical results in both, novel 3D and standard PW schemes, shows that non PW calculations avoid the very involved angular momentum algebra occurring for the permutations and transformations and it is more efficient and less cumbersome for considering the 3NF.

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