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A note on the Mumford-Tate Conjecture for CM abelian varieties
The Mumford-Tate conjecture is first proved for CM abelian varieties by H.
Pohlmann [Ann. Math., 1968]. In this note we give another proof of this result
and extend it to CM motives.Comment: 10 pages, to appear in Taiwanese J. Mat
Endomorphism algebras of QM abelian surfaces
We determine endomorphism algebras of abelian surfaces with quaternion
multiplication.Comment: 14 pages. Lemma 2.10 correcte
: A Promising Detectable Tetraquark
We propose to investigate a particle with four different flavors, , which is a promising detectable tetraquark state. Its threshold,
5773 MeV, is 270 MeV higher than the threshold of and
, leading to a large mass region to be stable. If the
lowest-lying \bsud state exists below threshold, it can be definitely observed
via the weak decay mode , with the expectation of hundreds
of events in the current LHCb data sample but rejecting backgrounds due to its
long lifetime. This can be a benchmark of the existence of which is a
partner of under the flavor symmetry. If no signal is
observed in this mode, it constrain the mass of the ground tetraquark state to
be larger than the threshold. In the case above threshold, it can be detected
via the strong decay mode . The state has
similar features.Comment: 5 pages, 2 figures and 2 table
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