Possible Description of the Excited States of the Neutral Charmed Omega in Terms of a First-Order Pentaquark Mass Formula

Abstract

Bevelacqua Resources, 7531 Flint Crossing Circle SE, Owens Cross Roads, AL 35763 USA bevelresou@aol.com      Recently proposed sscqq-bar pentaquark structures for the excited states of the neutral charmed omega are investigated using a first-order mass formula incorporating weakly interacting qq-bar meson and Ω0c baryon clusters. The results are compared to the predictions of the LHCb Collaboration.       The first-order pentaquark mass formula has typically yielded results within about 10% of the experimental mass values. Using this criterion, the Ω0c(2770), Ω0c(3000), Ω0c(3050), Ω0c(3065), Ω0c(3090), Ω0c(3119), and Ω0c(3185) states could be described by the ssc + uu-bar and ssc + dd-bar pentaquarks with the meson clusters uu-bar and dd-bar having a pseudoscalar configuration. The Ω0c(3185) is also described by the ssc + ss-bar with the ss-bar in a pseudoscalar state. In a similar manner, the Ω0c(3327) state could be described by the ssc + uu-bar and ssc + dd-bar pentaquarks with the meson clusters uu-bar and dd-bar having a vector configuration, and a ssc + ss-bar pentaquark with the meson cluster ss-bar having a pseudoscalar configuration. The model is not sufficiently refined to distinguish between these states.      The only state with a specified Jπ assignment is the Ω0c(2770). The Particle Data Group specifies a 3/2+ assignment. The first-order pentaquark allows both 1/2+ and 3/2+ values for all Ω0c excited states. KEYWORDS: Pentaquark, first-order mass formula, quark model, excited states of the neutral charmed omega