490 research outputs found

    Error bounds for spline and L-spline interpolation

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    Application of Besov spaces to spline approximation

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    Second bound state of the positronium molecule and biexcitons

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    A new, hitherto unknown bound state of the positronium molecule, with orbital angular momentum L=1 and negative parity is reported. This state is stable against autodissociation even if the masses of the positive and negative charges are not equal. The existence of a similar state in two-dimension has also been investigated. The fact that the biexcitons have a second bound state may help the better understanding of their binding mechanism.Comment: Latex, 8 pages, 2 Postscript figure

    Inclusive neutron cross-sections at forward angles from Nb Nb and Au Au collisions at 800-MeV/nucleon

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    Inclusive neutron spectra were measured at 0°, 4°, 8°, 15°, 30°, and 42° from Nb-Nb and Au-Au collisions at 800 MeV/nucleon. A peak that originates from neutron evaporation from the projectile appears in the spectra at angles out to 8°. The shapes and magnitudes of the spectra are compared with those calculated from models of nucleus-nucleus collisions. The differential cross sections for Au-Au collisions are about four times those for Nb-Nb collisions. The predictions of the Vlasov-Uehling-Uhlenbeck (VUU) and QMD theories agree with the angular distributions of the differential cross sections except at small angles; the VUU prediction overestimates the angular distributions from a few degrees to about 20°, whereas the QMD prediction underestimates the angular distributions below 8°. The Firestreak model overestimates the angular distribution for Nb-Nb collisions and underestimates it for Au-Au collisions. Also, the VUU and QMD models agree with the measured double-differential cross sections in more angular and energy regions than the Firestreak and intranuclear cascade models; however, none of the models can account for the peaks at small angles (θ≤15°)

    New Lower Bound on Fermion Binding Energies

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    We derive a new lower bound for the ground state energy EF(N,S)E^{\rm F}(N,S) of N fermions with total spin S in terms of binding energies EF(N1,S±1/2)E^{\rm F}(N-1,S \pm 1/2) of (N-1) fermions. Numerical examples are provided for some simple short-range or confining potentials.Comment: 4 pages, 1 eps figur

    Borromean Binding of Three or Four Bosons

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    We estimate the ratio R=g3/g2R=g_{3}/g_{2} of the critical coupling constants g2g_{2} and g3g_{3} which are required to achieve binding of 2 or 3 bosons, respectively, with a short-range interaction, and examine how this ratio depends on the shape of the potential. Simple monotonous potentials give R0.8R\simeq 0.8. A wide repulsive core pushes this ratio close to R=1. On the other hand, for an attractive well protected by an external repulsive barrier, the ratio approaches the rigorous lower bound R=2/3R=2/3. We also present results for N=4 bosons, sketch the extension to N>4N>4, and discuss various consequences.Comment: 12 pages, RevTeX, 5 Figures in tex include

    Lowest Open Channels, Bound States, and Narrow Resonances of Dipositronium

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    The constraints imposed by symmetry on the open channels of dipositronium has been studied, and the symmetry-adapted lowest open channel of each quantum state has been identified. Based on this study, the existence of two more 0^+ bound states has been theoretically confirmed, and a 0^+ narrow resonance has been predicted. A variational calculation has been performed to evaluate the critical strength of the repulsive interaction . Two 0^- states are found to have their critical strengths very close to 1, they are considered as candidates of new narrow resonances or loosely bound states .Comment: 10 pages, 0 figure

    Weakly-Bound Three-Body Systems with No Bound Subsystems

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    We investigate the domain of coupling constants which achieve binding for a 3-body system, while none of the 2-body subsystems is bound. We derive some general properties of the shape of the domain, and rigorous upper bounds on its size, using a Hall--Post decomposition of the Hamiltonian. Numerical illustrations are provided in the case of a Yukawa potential, using a simple variational method.Comment: gzipped ps with 11 figures included. To appear in Phys. Rev.
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