Method for Calculating Matrix Elements of a Three-Body Hamiltonian in a Gaussian Basis

Key Points

• The aim is to develop a method for calculating matrix elements of a three-body Hamiltonian using a Gaussian basis.
• Utilized a multidimensional Gaussian basis for the calculations.
• Considered both central and noncentral interactions, including spin–orbit and tensor interactions.
• Derived simplified analytical expressions for matrix elements.
• The proposed method leads to high accuracy in determining the Hamiltonian eigenvalues.
• Matrix elements can be represented in relatively simple analytical forms.
• The method effectively handles complex interactions between particles.