We present a mathematically rigorous method suitable for solving three-body bound state and scattering problems when the inter–particle interaction is of a hard–core nature. The proposed method is a variant of the Boundary Condition Model and it has been employed to calculate the binding energies for a system consisting of three 4He atoms. Two realistic He–He interactions of Aziz and collaborat...

We study the bound states of anti-nucleons emerging from the lower continuum in finite nuclei within the relativistic Hartree approach including the contributions of the Dirac sea to the source terms of the meson fields. The Dirac equation is reduced to two Schrödinger-equivalent equations for the nucleon and the anti-nucleon respectively. These two equations are solved simultaneously in an ite...

It is proved that a compactly supported (or decaying faster than any exponential) spherically symmetric potential is uniquely determined by the phase shift δ(k) known for all k ∈ (a, b), 0 ≤ a < b < ∞. Here the phase shift δ(k) corresponds to the s-wave. No information about bound states energies and normalizing constants is assumed known

We perform calculations for ω production in nuclei by means of the (γ, p) reaction for photon energies and proton angles suited to running and future experiments in present Laboratories. For some cases of possible ω optical potentials we find clear peaks which could be observable provided a good resolution in the ω energy is available. We also study the inclusive production of πγ in nuclei arou...

Abstract We show that the PT symmetric Hamiltonians (and their generalizations H = H defined in the text) may be all assigned the projected (so called Feshbach or effective) nonlinear Hamiltonians which are “locally” Hermitian. This implies that many (if not all) of the bound-state energies may be real in a broad domain of Hermiticityviolating interactions. A complexification of a superintegrab...

Some recent ZEUS results on the photoproduction of open charm and possible implications for photon structure are discussed. 1 Open Charm Photoproduction at HERA Photoproduction of ‘open’ charm (as opposed to cc̄ bound states) can take place via several processes at HERA. The most obvious is photon-gluon fusion. The photon interacts directly with a gluon from the proton via t-channel charm quark,...

We predict several new bound states and resonances for Bπ, BK, and BD S-wave elastic scattering, within the same model which was recently employed to explain the D sJ(2317) + meson. In the charm-nonstrange sector we find a (virtual ?) bound state close to the Bπ threshold, and moreover two nearby resonances of comparable width in the range 5.9 to 6.1 GeV. We obtain bound states B s0(5570) in bs̄...

For confining potentials of the form q(r) = r+ p(r), where p(r) decays rapidly and is smooth for r > 0, it is proved that q(r) can be uniquely recovered from the data {Ej , sj}∀j=1,2,3..... Here Ej are energies of bound states and sj are the values u ′ j(0), where uj(r) are the normalized eigenfunctions, ∫∞ 0 u 2 jdr = 0. An algorithm is given for finding q(r) from the knowledge of few first da...

We consider the problem of energy-mass transfer from scattering to bound states for a one body quantum system subject to the action of a time dependent point interaction in 3-D. Under suitable assumptions on the initial state of the particle, we prove a result of local controllability of this process. Our proof exploits the finite time asymptotic analysis of fractional integral equations and th...

The controversy of the existence of resonances in H22 ions is revisited. We calculate the hyperspherical adiabatic potential curves for H22. For 4S0 symmetry all the potential curves are repulsive, and thus no bound or resonance states exist. This conclusion contradicts the recent calculations of Sommerfeld et al. [Phys. Rev. Lett. 77, 470 (1996); Phys. Rev. A 55, 1903 (1997)], where a 4S0 reso...