Low-energy scattering in four nucleon systems. Method of Cluster Reduction

Abstract

The elastic and rearrangement processes in the four-particle system with two clusters in the initial and final states can be treated adequately on the basis of Yakubovsky differential equations (YDE) [1, 2, 3]

$$({H_0} + {V_{{a_3}}} - E){\Psi _{{a_3}{a_2}}} + {V_{{a_3}}}\sum\limits_{({c_3} \ne {a_3}) \subset {a_2}} {{\Psi _{{c_3}{a_2}}} = - {V_{{a_3}}}} \sum\limits_{{d_2} \ne {a_2}} {\sum\limits_{({d_3} \ne {a_3}) \subset {a_2}} {{\Psi _{{d_3}{d_2}}}.} } $$

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