#### Document Type

Report

#### Publication Date

4-1965

#### Abstract

A mass spectrum of the form m~ = M^{2} = M_{l} (M_{1} + |_{al} |) is derived, where a_{ l }is the imaginary part of the l^{ th} singularity in the complex energy plane of a T-matrix which describes the interaction of a particle of initial rest mass m with a potential V(x, t), where V(x, t) = 0 in the limit |t| -> oo. This spectrum is found to give, within 1%, the mass of all baryons less than or equal to the mass of the rr if m is taken as 1747 MeV and a1l is a small integral multiple of the K and pi meson masses. Comparison to the Gell-Mann, Okubo formula relates these integers to the hypercharge and the isotopic spin. The analysis proposed by R. L. Lander is used to show that the results can have statistical significance.

#### Report Number

IS-1140

#### Language

en

#### File Format

application/pdf

#### Recommended Citation

Hammer, Charles L. and Weber, Thomas A., "A mass formula for the baryon mass spectrum" (1965). *Ames Laboratory Technical Reports*. 95.

http://lib.dr.iastate.edu/ameslab_isreports/95