On influence of experimental resolution on the statistical significance of a signal : implication for pentaquark searches.

Journal Article · Mon Jan 01 00:00:00 EST 2007 · Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRevD.75.014007· OSTI ID:960368

Chekanov, S; Levchenko, B B

An empirical principle for the construction of a linear relationship between the total angular momentum and squared-mass of baryons is proposed. In order to examine linearity of the trajectories, a rigorous least-squares regression analysis was performed. Unlike the standard Regge-Chew-Frautschi approach, the constructed trajectories do not have nonlinear behavior. A similar regularity may exist for lowest-mass mesons. The linear baryonic trajectories are well described by a semiclassical picture based on a spinning relativistic string with tension. The obtained numerical solution of this model was used to extract the (di)quark masses.

• Research Organization: Argonne National Lab. (ANL), Argonne, IL (United States)
• Sponsoring Organization: USDOE Office of Science (SC); Russian Foundation for Basic Research
• DOE Contract Number: DE-AC02-06CH11357
• OSTI ID: 960368
• Report Number(s): ANL-HEP-PR-07-47; PRVDAQ; TRN: US0904385
• Journal Information: Phys. Rev. D, Vol. 75, Issue 2007; ISSN 1550-7998
• Country of Publication: United States
• Language: ENGLISH

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BARYONS
CONSTRUCTION
MESONS
NUMERICAL SOLUTION
REGRESSION ANALYSIS
RESOLUTION
TRAJECTORIES