We evaluate the contributions of $({\ensuremath{\pi}}^{0}{\ensuremath{\pi}}^{0},{\ensuremath{\pi}}^{0}\ensuremath{\eta},\ensuremath{\eta}\ensuremath{\eta})\ensuremath{\gamma}$ exclusive channels to leading order hadronic vacuum polarization (HVP) muon anomalous magnetic moment. These final states can be viewed as decay subchannels in previous evaluations ${\ensuremath{\pi}}^{0}\ensuremath{\omeg...

The semi-topological nature of the eta-invariant of a self-adjoint elliptic differential operator derives from a relative identification with a Chern character. This remarkable semi-locality property of the eta-invariant can be seen in spectral flow formulae and many other applications [APS2, APS3, BC1, DZ1, L1]. In this paper we prove two geometric index theorems for a family of first-order el...

Spin alignments of vector mesons and hyperons in relativistic heavy-ion collisions have been proposed as signals the global polarization. The STAR experiment first observed $\rm \Lambda$ Recently, ALICE collaboration measured transverse momentum ($p_T$) collision centrality dependence $K^*$ $\phi$ spin Pb-Pb at \sqrt{s_{NN}}$ = 2.76 TeV. A large signal is low $p_T$ region mid-central for while ...

The Berezin transform $\widetilde{T}$ and the radius of an operator
 $T$ on reproducing kernel Hilbert space $\mathcal{H}\left( Q\right) $
 over some set $Q$ with $K_{\eta}$ are defined,
 respectively, by
 \[
 \widetilde{T}(\eta)=\left\langle {T\frac{K_{\eta}}{{\left\Vert K_{\eta
 }\right\Vert }},\frac{K_{\eta}}{{\left\Vert K_{\eta}\right\Vert }}%
 }\right\ran...

For a compact manifold without boundary a suspended algebra of pseudodifferential operators is considered; it is an algebra of pseudodifferential operators on, and translation-invariant in, an additional real variable. It is shown that the eta invariant, as defined by Atiyah, Patodi and Singer for admissible Dirac operators, extends to a homomorphism from the ring of invertible elements of the ...

In this paper we elaborate new methods to the theory of parametric generalized equations governed by accretive mappings. Two implicit function theorems will be proved, one for m-accretive and another for locally accretive and continuous set-valued mappings. Making use of the theorem for m-accretive mappings we will study parametric nonlinear evolution problems. It will be also shown that there ...

We study the transition widths of $\Upsilon(10753)$ and $\Upsilon(11020)$ into standard bottomonium under hypothesis that they correspond to two lowest laying $1^{--}$ hybrid states. employ weakly coupled potential NRQCD an effective filed theory incorporating heavy quark multipole expansions. consider transitions generated by leading order next-to-leading singlet-octet operators. In expansion ...

INTRODUCTION Emergency medicine (EM) milestones are used to assess residents' progress. While some milestone validity evidence exists, there is a lack of standardized tools available to reliably assess residents. Inherent to this is a concern that we may not be truly measuring what we intend to assess. The purpose of this study was to design a direct observation milestone assessment instrument ...

In this paper a new class of mappings, known as locally λ-strongly φ-accretive mappings, where λ and φ have special meanings, is introduced. This class of mappings constitutes a generalization of the well-known monotone mappings, accretive mappings and strongly φ-accretive mappings. Subsequently, the above notion is used to extend the results of Park and Park, Browder and Ray to locally λ-stron...