52,425 research outputs found
New baryons discovered by LHCb as the members of and states
Inspired by the newly observed states at LHCb, we decode their
properties by performing an analysis of mass spectrum and decay behavior. Our
studies show that the five narrow states, i.e., ,
, , , and
, could be grouped into the states with negative parity.
Among them, the and states could be the
candidates, while and are
suggested as the states. could be regarded as a
state. Since the the spin-parity, the electromagnetic transitions,
and the possible hadronic decay channels have not been
measured yet, other explanations are also probable for these narrow
states. Additionally, we discuss the possibility of the broad
structure as a state with or .
In our scheme, cannot be a candidate.Comment: 10 pages, 3 figures, 5 tables, typos corrected. Published in Phys.
Rev.
Extreme Analysis of a Non-convex and Nonlinear Functional of Gaussian Processes -- On the Tail Asymptotics of Random Ordinary Differential Equations
In this paper, we consider a stochastic system described by a differential
equation admitting a spatially varying random coefficient.
The differential equation has been employed to model various static physics
systems such as elastic deformation, water flow, electric-magnetic fields,
temperature distribution, etc.
A random coefficient is introduced to account for the system's uncertainty
and/or imperfect measurements.
This random coefficient is described by a Gaussian process (the input
process) and thus the solution to the differential equation (under certain
boundary conditions) is a complexed functional of the input Gaussian process.
In this paper, we focus the analysis on the one-dimensional case and derive
asymptotic approximations of the tail probabilities of the solution to the
equation that has various physics interpretations under different contexts.
This analysis rests on the literature of the extreme analysis of Gaussian
processes (such as the tail approximations of the supremum) and extends the
analysis to more complexed functionals.Comment: supplementary material is include
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