Saturation of Optimal Entopic Resonance Limits in Pion-Nucleus Scattering in $\Delta$(1236)-Elementary Resonance Region

Ion, D.B.; Ion, M.L.D.

Saturation of Optimal Entopic Resonance Limits in Pion-Nucleus Scattering in $\Delta$ (1236)-Elementary Resonance Region

D.B. Ion
(
- Bucharest, Acad. Roman. Sci.
)
,
M.L.D. Ion
(
- Bucharest U.
)

Jun 25, 2013

14 pages

Published in:

Rom.J.Phys. 58 (2013) 9-10, 1280-1297

Published: 2013

e-Print:

1306.6844 [physics.gen-ph]

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Abstract: (arXiv)

In this paper, it is shown that the experimental values of the nonextensive scattering entropies

S_L (p)

and

S_\theta (q)

for the pion-nucleus (

\pi^0 He, \pi^0 C, \pi^0 O, \pi^0 Ca

) scatterings, in the energy region corresponding to

\Delta (1236)

resonance in the elementary pion-nucleon interaction, are well described by the entropic optimal resonance predictions

S_L^o1 (p)

and

S_\theta^o1 (q)

and when the nonextensivities indices are correlated by a Riesz-Thorin-like relation: 1/2p+1/2q=1.

Note:

14 pages, 6 figures, 3 tables

24.30.-v
24.30.Gd
25.80.Dj
25.80.Hp
PMD–SQS
hadron-nucleus scattering
optimal resonances
scattering
saturation
entropy

References(50)

Figures(0)

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Saturation of Optimal Entopic Resonance Limits in Pion-Nucleus Scattering in Δ\DeltaΔ(1236)-Elementary Resonance Region

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Saturation of Optimal Entopic Resonance Limits in Pion-Nucleus Scattering in $\Delta$ (1236)-Elementary Resonance Region