17,158 research outputs found

    New trial wave function for nuclear cluster structure of nuclei

    Get PDF
    A new trial wave function is proposed for nuclear physics, in which an exact solution to the long-standing center-of-mass problem is given. In the new approach, the widths of the single-nucleon Gaussian wave packets and the widths of the relative Gaussian wave functions describing correlations of nucleons or clusters are treated as variables in the explicit intrinsic wave function of the nuclear system. As an example, this new wave function was applied to study the typical 20Ne{^{20}{\rm Ne}} (α\alpha+16O{{^{16}}{\rm O}}) cluster system. By removing exactly the spurious center-of-mass effect in a very simple way, the energy curve of 20Ne{^{20}{\rm Ne}} was obtained by the variational calculations with the width of α\alpha cluster, the width of 16O{{^{16}}{\rm O}} cluster, and the size parameter of the nucleus. They are considered as the three crucial variational variables in describing the 20Ne{^{20}{\rm Ne}} (α\alpha+16O{{^{16}}{\rm O}}) cluster system. This shows that the new wave function can be a very interesting new tool for studying many-body and cluster effects in nuclear physics.Comment: 10 pages, 2 figure

    Note on differential operators, CHY integrands, and unifying relations for amplitudes

    Full text link
    An elegant unified web for amplitudes of various theories was given by Cachazo, He and Yuan in the CHY framework a few years ago. Recently, similar web has also been constructed by Cheung, Shen and Wen, which relies on a set of differential operators. In this note, by acting these differential operators on CHY-integrands systematically, we have established the relation between these two approaches. Thus, amplitudes for all theories which have CHY representations, include gravity theory, Einstein-Yang-Mills theory, Einstein-Maxwell theory, pure Yang-Mills theory, Yang-Mills-scalar theory, Born-Infeld theory, Dirac-Born-Infeld theory and its extension, bi-adjoint scalar theory, ϕ4\phi^4 theory, non-linear sigma model, as well as special Galileon theory, have been included in the unified web rooted from gravity theory.Comment: 20 page
    corecore