A model for the Schr�dinger zitterbewegung and the plane monochromatic wave

Aron, Jacob

doi:10.1007/bf00727103

Cited by 5 publications

(3 citation statements)

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“…We understand that in the lower region where the spectrum is scarce (on account of the Froissart bound) the constraints imposed by the conjugations concentrate the baryons on the two pointlike multiplets, whereas in the medium and higher regions the spreading of the spectrum breaks the multiplets. 6 The rate of increase of C(J) with the spin is smaller for the baryons than for the mesons (0/), ~ 0.15 versus 0'/2' ,~ 0.3). This explains why the crude scheme of Figs.…”

Section: Construction Of the Spectrummentioning

confidence: 99%

“…(6). An approximate localization of ~o (slope Po = 9G2) is obtained from the ME value of the decuplet at b l. The determination is improved by the constraint that the line joining A-(b2) to ~'-(cl) be a line parallel to ~2 (slope P2 = 5G2).…”

Section: A2 Baryonsmentioning

confidence: 99%

“…(3) [-which along the trajectories gives rise to the succession (6)]. Another restriction is that the conjugation should relate baryons which can be coupled with a meson in a strong interaction: Thus (as there is no known meson with isospin > 1), A will be associated with N, not with A, and A associated with S. This feature already shows up on A°o and ~, and will be explained when the stochastic approach is developed in paper II.…”

Section: B2 Distribution Of the Baryons Over The Schemementioning

confidence: 99%

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A stochastic approach to the hadron spectrum. I

Aron¹

1986

Found Phys

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In this paper the squared mass of the hadron is defined as a random variable, whose average is the measured quantity. This leads to a mass formula, of a unique type for mesons and baryons, with a general law for the spin variation of the coefficients. The central squared masses form an overall geometrical scheme; in the baryon case it contains trajectories which are a fine structure of the Regge trajectories. For the accurately measured masses the difference between the computed and experimental value lies within 5 M e V for mesons and baryons. The geometrical scheme will be the basis for the computation of the decay rates, to be developed in the next paper.

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Section: Construction Of the Spectrummentioning

confidence: 99%

Section: A2 Baryonsmentioning

confidence: 99%

Section: B2 Distribution Of the Baryons Over The Schemementioning

confidence: 99%

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