A Study of Exclusive Nonleptonic Decays of $B$ Mesons into Final States of Strange Mesons and 1S or 2S Charmonia

Abstract

Bound states of heavy quarks can serve as a laboratory for inquiry into the behaviour of the fundamental strong and electroweak interactions. This thesis examines observations of B 0 , B 0 , and B ± mesons produced in proton-antiproton collisions at centre-of-mass energies of √ s = 1.8 TeV. The B-meson decay products are recorded using the Collider Detector at Fermilab (CDF) located on the Tevatron collider at the Fermi National Accelerator Laboratory in Batavia, Illinois, USA.Four B-meson decays and their charge conjugates are studied: The indicated uncertainties are statistical and systematic, respectively. In ratios involving unlike B-meson species, equal production rates for B + and B 0 mesons have been assumed.Absolute branching fractions are extracted by normalizing the above ratio measurements to the world-average value, B(B + → J/ψ K + ) = (1.01 ± 0.14) × 10 −3 :

Relative transverse momentum distributions of bottom hadrons produced in 1.96 TeV proton-antiproton collisions

“…Many models [7] [8] [9] [10] [11] try to describe the NP effects of fragmentation. One of these models, by Peterson [9], states that fragmentation would be inversely proportional to the energy transferred from the heavy (b) quark to the B hadron [12]. One advantage of the Peterson parameterization is that it only depends on one experimental parameter b , whose value was determined to be 0.006 ± 0.002 by Chrin in [13].…”

Measurement of the Dipion Mass Spectrum in the Decay X(3872) → J/Ψ π⁺ π^- at the CDF II Experiment

“…This parametrization was used, in particular, in a CDF Run I analysis [105] and by the MARK III Collaboration [106]. While we know the shape of the m, distribution for the (2S), it is a priori unknown for the X(3872) -this is what we wish to determine in this analysis.…”