arXiv subjects

J. M. Bang

Publications and source records attributed to J. M. Bang.

3 recordsLinked to original sources

arXiv1999

P-matrix and J-matrix approaches. Coulomb asymptotics in the harmonic oscillator representation of scattering theory

The relation between the R- and P-matrix approaches and the harmonic oscillator representation of the quantum scattering theory (J-matrix method) is discussed. We construct a discrete analogue of the P-matrix that is shown to be equivalent to the usual P-matrix in the quasiclassical limit. A definition of the natural channel radius is introduced. As a result, it is shown to be possible to use well-developed technique of R- and P-matrix theory for calculation of resonant states characteristics, scattering phase shifts, etc., in the approaches based on harmonic oscillator expansions, e.g., in nuclear shell-model calculations. P-matrix is used also for formulation of the method of treating Coulomb asymptotics in the scattering theory in oscillator representation.

math-ph↗

arXiv1998

The first excited states of 9Be and 9B

It is found here that the 1/2+ first excited state of 9Be is a virtual state with the energy of -23.5 KeV. The line shape for the excitation of the state is approximated with a simple analytic form based on the effective range expansion. The partner in 9B of this state is found to be a resonance with a maximum in the peak at about 1.1 MeV, FWHM of 1.5 MeV, and complex energy of 0.6-i0.75 MeV. The line shape for its excitation is calculated in terms of the p-8Be phase shift. The phase shifts are obtained from N-8Be effective potentials deduced from the data on on the photodisintegration of 9Be. A possibility for direct extraction of the energy of the resonant state from experimental data is also discussed, and an expression for a residue at a virtual state pole in terms of a quadrature taken over the virtual state eigenfunction is given.

nucl-th↗

arXiv1993

Electromagnetic Dipole Response as a Test of the $^{\bf 11}$Li g.s. Structure and the n-$^{\bf 9}$Li Interaction

The electric dipole response of the halo nucleus $^{11}$Li is calculated in a hyperspherical three-body formulation, and is studied as a function of the interaction employed for $n-^9$Li to reflect the Pauli principle. Strength concentrations at lower energies are found but no narrow resonances. Only one possible scenario of $^{11}$Li structure is in close correspondence with MSU and RIKEN experimental data.

nucl-th↗