840 research outputs found
Generalized L\"uscher's Formula in Multichannel Baryon-Baryon Scattering
In this paper, L\"uscher's formula is generalized to the case of two
spin- particles in two-channel scattering based on Ref.
\cite{Li:2012bi}. This is first done in a non-relativistic quantum mechanics
model and then generalized to quantum field theory. We show that L\"uscher's
formula obtained from these two different methods are equivalent up to terms
that are exponentially suppressed in the box size. This formalism can be
readily applied to future lattice QCD calculations.Comment: Introduction expanded and references added. 10 pages, no figure
Measuring the similarity of PML documents with RFID-based sensors
The Electronic Product Code (EPC) Network is an important part of the
Internet of Things. The Physical Mark-Up Language (PML) is to represent and
de-scribe data related to objects in EPC Network. The PML documents of each
component to exchange data in EPC Network system are XML documents based on PML
Core schema. For managing theses huge amount of PML documents of tags captured
by Radio frequency identification (RFID) readers, it is inevitable to develop
the high-performance technol-ogy, such as filtering and integrating these tag
data. So in this paper, we propose an approach for meas-uring the similarity of
PML documents based on Bayesian Network of several sensors. With respect to the
features of PML, while measuring the similarity, we firstly reduce the
redundancy data except information of EPC. On the basis of this, the Bayesian
Network model derived from the structure of the PML documents being compared is
constructed.Comment: International Journal of Ad Hoc and Ubiquitous Computin
Generalized L\"uscher Formula in Multi-channel Baryon-Meson Scattering
L\"uscher's formula relates the elastic scattering phase shifts to the
two-particle energy levels in a finite cubic box. The original formula was
obtained for elastic scattering of two massive spinless particles in the center
of mass frame. In this paper, we consider the case for the scattering of a spin
1/2 particle with a spinless particle in multi-channel scattering. A
generalized relation between the energy of two particle system and the
scattering matrix elements is established. We first obtain this relation using
quantum-mechanics in both center-of-mass frame and in a general moving frame.
The result is then generalized to quantum field theory using methods outlined
in Ref. \cite{Hansen:2012tf}. We verify that the results obtained using both
methods are equivalent up to terms that are exponentially suppressed in the box
size.Comment: One reference adde
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