Study of the 2-channel systems using the J-matrix method

The partial widths and the branching ratios have been calculated for 2-channel systems, using the diagonalisation of a 2-channel full Hamiltonian and the J-matrix quantities related to the free Hamiltonian, for resonance states with different orbital angular momentum ℓ (ℓ = 0, 1, 2, 3) and different charge z (z = +1, 0, − 1) for Noro and Taylor potential. Moreover, the 1- and 2-channel Morse potential have been investigated for the two diatomic molecules H₂ and LiH. The basis used is the Laguerre basis. Two approximate methods have been used to calculate the widths and the ratios associated with a spinless projectile‒target system. Many results are reported here for the first time, including the results of ℓ ≠ 0 and z ≠ 0 in 2-channel Noro and Taylor potential, and the results for the two diatomic molecules. The comparison of our outcome with earlier studies, wherever possible, on energies, branching ratios and partial widths, is discussed.