X (3872) in QCD sum rules

Abstract

QCD spectral sum rules is used to test the nature of the meson X(3872), assumed to be an exotic fourquark (ccqq) state with J PC = 1 ++ . For definiteness, the current proposed recently by Maiani et al [1] is used, at leading order in α s , considering the contributions of higher dimension condensates. The value M X = (3.94 ± 0.11) GeV is found which is compatible, within the errors, with the experimental candidate X(3872). The uncertainties of our estimates are mainly due to the one from the c quark mass.

Adversarial queues and trading on a CFMM

“…• Although it is possible to enforce rules about block ordering (for example through verifiable sequencing rules [FP22]), the consensus rules of most major blockchain systems also leave this unspecified.…”

“…Another thread of research aims to develop novel queueing disciplines adapted to trades on a CFMM, for example via verifiable sequencing rules [FP22] or first arbitrage auctions [jos22; nik22].…”

“…Note that priority order can be determined without reference to M , but priority inclusion cannot. Thus only the former can be enforced as a verifiable sequencing rule [FP22].…”

“…In applications it is also pertinent, but beyond the scope of this paper, to consider the scheduler as a random algorithm (rather than merely considering its output as a random variable) so that one can make hypotheses on its complexity. Compare [FP22,§3].…”