Triton binding energy for local square-well potantial with Faddeev approach

The triton bound state has been studied by Faddeev approach using local two-body short range nuclear square-well potential. The separable representation of the two-body t-matrix, corresponding to the above mentioned potential, is obtained utilizing a separable approximation of the integral representation of the interaction potential in momentum space. This t-matrix, separable in momentum space, has been used in the homogeneous integral Faddeev equation to compute the triton binding energy. Using a two term and three term expansion for the integral transform of the square-well potential, the binding energy values of the triton have been evaluated considering the triplet plus singlet states of the target deuteron parameters of potential. The results have been compared with the convergent theoretical result obtained by Kharchenko and Storozhenko for the same potential. It is observed that the binding energy value in the first case is higher than the convergent value of Kharchenko and Storozhenko while in the second case, the results are very close to each other. (author)