How Resonances can synchronise with Thresholds
نویسنده
چکیده
The mechanism by which a threshold may capture a resonance is examined. It involves a threshold cusp interfering constructively with either or both (i) a resonance produced via confinement, (ii) attractive tand u-channel exchanges. The f0(980), X(3872) and Z(4430) are studied in detail. The f0(980) provides a valuable model of the locking mechanism. The X(3872) is too narrow to be fitted by a cusp, and requires either a resonance or virtual state. The Z(4430) can be fitted as a resonance but also can be fitted successfully by a cusp with no nearby resonant pole. PACS numbers: 12.39.Mk, 13.25.Gv, 13.25.Hw, 14.40.Lb. 14.40.Nd
منابع مشابه
Vibration Analysis of a Nonlinear System with a Nonlinear Absorber under the Primary and Super-harmonic Resonances (TECHNICAL NOTE)
Abstract In vibratory systems, linear and nonlinear vibration absorbers can be used to suppress the primary and super-harmonic resonance responses. In this paper, the behavior of a nonlinear system with a nonlinear absorber, under the primary and super-harmonic resonances is investigated. The stiffnesses of the main system and the absorber are cubically nonlinear and the dampers are linear. M...
متن کاملPhotoionization of Ar XVI and Ar XVII
Photoionization of Li-like argon, ðhnþAr XVI-Ar XVIIþeÞ, and He-like argon, ðhnþ Ar XVII-Ar XVIIIþeÞ, are studied using the relativistic Breit–Pauli R-matrix (BPRM) method. Results include both the partial and total photoionization cross-sections of fine structure levels with 1=2r Jr17=2, nr10 and 0r lr9 of Ar XVI and with 0r Jr10, nr10 and 0r lr9 of Ar XVII. They correspond to 98 bound levels ...
متن کاملOn the resonances of the Laplacian on waveguides
The resonances for the Dirichlet and Neumann Laplacian are studied on compactly perturbed waveguides. In the absence of resonances, an upper bound is proven for the localised resolvent. This is then used to prove that the existence of a quasimode whose asymptotics is bounded away from the thresholds implies the existence of resonances converging to the real axis. The following upper bound to th...
متن کاملSeries of Broad Resonances in Atomic Three-Body Systems
Abstract: We re-examine the series of resonances found earlier in atomic three-body systems by solving the Faddeev-Merkuriev integral equations. These resonances are rather broad and line up at each threshold with gradually increasing gaps. This lining up takes place in the same way for all thresholds and is irrespective of the spatial symmetry. We relate these resonances to the Gailitis mechan...
متن کاملExistence of Resonances for the Laplacian on Waveguides
The resonances for the Dirichlet and Neumann Laplacian are studied on compactly perturbed waveguides. In the absence of resonances, an upper bound is proven for the localised resolvent. This is then used to prove that the existence of a quasimode whose asymptotics is bounded away from the thresholds implies the existence of resonances converging to the real axis. An upper bound to the number of...
متن کامل