nuclear theory nuclear theory/four body systems in, integral equations for identical-particleBased on the Faddeev-Yacubovsky approach, we obtain a set of integral equations for four particles in the simplest cas
In this paper we study $J$-pairing Hamiltonian and find that the sum of eigenvalues of spin $I$ states equals sum of norm matrix elements within the pair basis for four identical particles such as four fermions in a single-$j$ shell or four bosons with spin $l$. We relate number of...
Question: Four identical charged particles (q=+10.2μC) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L=57.0cm and W=14.3cm.(a) Calculate the magnitude of the total el...
By solving the equations obtained, the binding energies and wave functions of the low-lying 0 + states of the system of four identical bosons, as well as the scattering length of a particle scattered by three bound particles, are calculated. The solution of the set of integral equations, ...
The problem of four identical spinless particles with separable two-particle interactions is considered. The integral equations of motion for four particles in the bound states and in the continuum states with two non-ihteracting subsystems in the initial channel are formulated. The angular-momentum...
The differential equations for Yakubovsky components of the four-body wavefunctions are derived. An asymptotic form of these components is described. A symmetrized form of the Yakubovsky differential equations for four identical particles is given and its angular analysis is performed. Bound state ...
many body problem/bound states in a system of four identical particlesThe energies of the bound S-states of the four identical particles with separable pair interactions are calculated on the basis of the integral equations for the system. It is found, besides the ground states of the four-...
Integral equations for four identical particles: V. K. Kharchienko and V. E. Kuzmichev, Nucl. Phys. A183 (1972) 606doi:10.1016/0375-9474(72)90810-XNuclear Physics ANuclear Physics A
The differential equations for Yakubovsky components of the four-body wave functions are derived. An asymptotic form of these components is described. A symmetrized form of the Yakubovsky differential equations for four identical particles is given and its angular analysis is performed. Bound-state ...