Low‐energy sum rules for two‐particle scattering

1983 ◽  
Vol 24 (6) ◽  
pp. 1555-1563 ◽  
Author(s):  
D. Bollé ◽  
S. F. J. Wilk
Keyword(s):  
Sum Rules ◽  
Low Energy ◽  
Particle Scattering

Derivative sum rules and inconsistencies in the low-energy N scattering parameters

1969 ◽  
Vol 11 (1) ◽  
pp. 115-126 ◽  
Author(s):  
N.M. Queen ◽  
S. Leeman ◽  
F.E. Yeomans
Keyword(s):  
Sum Rules ◽  
Low Energy ◽  
Scattering Parameters

scholarly journals Low energy sum rules forπ−πscattering and threshold parameters

1996 ◽  
Vol 53 (5) ◽  
pp. 2362-2370 ◽  
Author(s):  
B. Ananthanarayan ◽  
D. Toublan ◽  
G. Wanders
Keyword(s):  
Sum Rules ◽  
Low Energy

scholarly journals What is duality?

1970 ◽  
Vol 318 (1534) ◽  
pp. 257-278 ◽  
Keyword(s):  
Sum Rules ◽  
Scattering Amplitude ◽  
Finite Energy ◽  
High Energy ◽  
Low Energy ◽  
Strong Interactions ◽  
High Energies ◽  
Resonance Formation ◽  
Interference Models ◽  
Regge Poles

Duality gives a satisfying connexion between two different areas of strong interaction physics, Regge poles at high energy and resonances at low energy. This interlocking gives powerful bootstrap conditions, and together with the assumption that certain channels do not contain resonances it gives strong restrictions on the hadron spectrum. Since there is some confusion about the term duality, we shall explain what is meant by the various forms of duality (f. e. s. r. (finite energy sum rules) duality, local duality), and what is meant by ‘building up’, and we shall show in what way antidual models (such as the generalized interference model) come into conflict with basic empirical facts. Duality expresses the relation between two descriptions of the hadronic scattering amplitude. At low energy (l. e.) the description by direct-channel resonances is simple and useful (see figure 1). At low energy the data show prominent peaks as a function of energy, and one may try the approximation of resonance saturation, i. e. of neglecting the non-resonating background. The second description is the exchange of Regge poles, and it is useful at high energies (h.e.), where typical features are forward peaks, energy dependence s α , and structure at fixed t (see figure 2). The two descriptions are very different; resonance formation corresponds to poles in the s channel, Regge exchange to poles in the t channel. Duality says that there are direct relations between these two descriptions, that they are equivalent in a certain sense. In complete contrast, the interference models postulate that one must add the two descriptions. (If lowest order perturbation theory was relevant to strong interactions, one would be led to adding the diagrams.)

Dispersive sum rules and low-energy limits

1967 ◽  
Vol 52 (2) ◽  
pp. 606-616 ◽  
Author(s):  
E. Del Giudice ◽  
E. Galzenati
Keyword(s):  
Sum Rules ◽  
Low Energy

On the determination of Ω − Ω scattering amplitudes from finite volume spectra

2016 ◽  
Vol 31 (35) ◽  
pp. 1650184 ◽  
Author(s):  
Ning Li ◽  
Ya-Jie Wu
Keyword(s):  
Energy Levels ◽  
Arbitrary Spin ◽  
Particle Energy ◽  
Low Energy ◽  
Particle Scattering ◽  
Mechanics Model ◽  
Scattering Phase ◽  
Scattering Phase Shifts ◽  
Nonrelativistic Quantum Mechanics

The elastic scattering phase shifts to the two-particle energy levels in a finite cubic box is related by the Lüscher’s formula. In this paper, based on the nonrelativistic quantum mechanics model which is usually assumed to be the low energy scattering case in lattice simulations, we confirmed the generalized Lüscher’s formula for the case of two-particle scattering with arbitrary spin in Ref. 1. In particular, Lüscher’s formula is synthesized for two-spin-3/2-particle scattering, i.e. [Formula: see text] scattering on lattice that may help us study the promising dibaryon states.

Parameter-Independent Threshold Corrections for Partial-Wave Amplitudes from Low-Energy Sum Rules

1968 ◽  
Vol 170 (5) ◽  
pp. 1604-1606
Author(s):  
H. D. Doebner ◽  
G. W. Müller
Keyword(s):  
Partial Wave ◽  
Sum Rules ◽  
Low Energy
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