Bounding differences in Jager Pairs

Symmetrical subdivisions in the space of Jager Pairs for continued fractions-like expansions will provide us with bounds on their difference. Results will also apply to the classical regular and backwards continued fractions expansions, which are realized as special cases

Overview of Antikaon-Nuclear Theory and Phenomenology

Experimental evidence for antikaon-nuclear quasibound states is briefly reviewed. Theoretical and phenomenological arguments for and against deep antikaon-nucleus potentials which might allow for narrow quasibound states are reviewed, with recent calculations suggesting widths larger than 100 MeV for binding energy smaller than 100 MeV. Results of RMF calculations that provide a lower limit of 50+/-10 MeV for the width of deeply bound states are discussed.Comment: Invited talk at the Yukawa International Symposium on New Frontiers in QCD, Kyoto University, December 2006. To be published in Progress of Theoretical Physics Supplemen

MESON2016 -- Concluding Remarks

Several topics presented and discussed at MESON2016 are highlighted, including pentaquarks, dibaryons and meson-nuclear bound states.Comment: concluding plenary talk given at MESON2016 -- the 14th International Workshop on Meson Production, Properties and Interaction, 2nd-7th June 2016, Krak\'ow, Poland, to appear in the EPJ Web of Conferences, v2 -- references update

Meson assisted dibaryons

We discuss a new type of L=0 positive-parity dibaryons, pion-B-B', where the dominant binding mechanism is provided by resonating p-wave pion-baryon interactions. Recent calculations of such pion assisted dibaryons are reviewed with special emphasis placed on the non-strange I(JP)=1(2+) N-Delta dibaryon D_{12}(2150) studied recently at JLab, and on the 0(3+) Delta-Delta dibaryon D_{03}(2380) discovered recently by the WASA-at-COSY Collaboration. We review recent searches by the HADES Collaboration at GSI and by the E15 and E27 Experiments at J-PARC for a strangeness S=-1 I(JP)=1/2(0-) K-pp dibaryon and perhaps also for a strange I(JP)=3/2(2+) N-Sigma(1385) pion assisted dibaryon Y_{3/2(2+)}(2270). Charm C=+1 dibaryons, predicted with these same I(JP) values, are also briefly reviewed.Comment: Presented at the Jagiellonian Symposium on Fundamental and Applied Subatomic Physics, Cracow, June 2015; matches published versio

Structure and Width of the d*(2380) Dibaryon

In this contribution, dedicated to the memory of Walter Greiner, we discuss the structure and width of the recently established d*(2380) dibaryon, confronting the consequences of our Pion Assisted Dibaryons hadronic model with those of quark motivated calculations. In particular, its relatively small width of about 70 MeV favors hadronic structure for the d*(2380) dibaryon rather than a six-quark structure.Comment: expanded version of a talk given in a Frontiers of Science symposium dedicated to the memory of Walter Greiner, at FIAS (Frankfurt) June 2017, to be published in a special FoS volum

Fisher Waves in the Diffusion-Limited Coalescence Process A+A<-->A

Fisher waves have been studied recently in the specific case of diffusion-limited reversible coalescence, A+AA, on the line. An exact analysis of the particles concentration showed that waves propagate from a stable region to an unstable region at constant speed, just as in Fisher's "mean-field" theory; but also that the wave front fails to retain its initial shape and instead it broadens with time. Our present analysis encompasses the full hierarchy of multiple-point density correlation functions, and thus it provides a complete exact description of the same system. We find that as the wave propagates, the particles in the stable phase remain distributed exactly as in their initial (equilibrium) state. On the other hand, the leading particle---the one at the edge of the wave---advances as a biased random walk, rather than simply linearly with time. Thus the shape of the wave remains actually constant, but it is the "noisy" propagation of the wave's edge that causes its apparent broadening.Comment: 5 pages, 2 figures, Revtex, submitted to Physics Letters