Three-Body Bound State Calculations by Using Three-Dimensional Low Momentum Interaction $V_{low-k}$

Abstract

Three-dimensional (3D) Faddeev integral equations are solved for three-body (3B) bound state problem without using the partial wave (PW) form of low momentum two-body (2B) interaction $V_{low-k}$ which is constructed from spin independent Malfliet-Tjon V (MT-V) potential. The dependence of 3B binding energy on the cutoff momentum of $V_{low-k}$ is investigated for a wide range of $\Lambda$ from $1.0$ to $7.0f{m}^{-1}$. The properties of Faddeev components and 3B wave function are displayed and the effect of number of grid points for momentum and angle variables on the accuracy and the stability of numerical results is studied by calculation of the expectation value of total Hamiltonian.

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Cited by in corpus (3)

• Calculation of Relativistic Nucleon-Nucleon Potentials in Three-Dimensions
• A three-dimensional momentum-space calculation of three-body bound state in a relativistic Faddeev scheme
• Relativistic nucleon-nucleon potentials in a spin-dependent three-dimensional approach