Abstract
Relativistic Faddeev-Yakubovsky four-nucleon scattering equations are derived including a 3-body force. We present these equations in the momentum space representation. The quadratic integral equations using the iteration method, in order to obtain boosted potentials and 3-body force, are demonstrated.
Highlights
At high energies one could expect deficiencies in the nonrelativistic Faddeev approach [1,2] in three-nucleon system
We have been constructing a relativistic framework in the form of relativistic Faddeev equations [3,4,5,6,7,8,9,10] according to the Bakamjian-Thomas theory [11]
In the three-body scattering states, the relativistic effects appear to be generally small [16,17] and insufficient to significantly improve the data description. For sensitive observations such as Ay puzzles, the relativistic effect has certainly surfaced [18], but the results obtained were in the direction of deterioration
Summary
At high energies one could expect deficiencies in the nonrelativistic Faddeev approach [1,2] in three-nucleon system. In the three-body scattering states, the relativistic effects appear to be generally small [16,17] and insufficient to significantly improve the data description. For sensitive observations such as Ay puzzles, the relativistic effect has certainly surfaced [18], but the results obtained were in the direction of deterioration. Eq (14) and Eq (15) are corresponding to Eq(3.6) and (3.16) of [3], respectively
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