Unitarity Upper Bound on the Absorptive Parts of Elastic-Scattering Amplitudes

1970 ◽  
Vol 24 (1) ◽  
pp. 28-33 ◽  
Author(s):  
Virendra Singh ◽  
S. M. Roy
Keyword(s):  
Elastic Scattering ◽  
Scattering Amplitudes ◽  
Upper Bound

Improved Upper Bound on the Imaginary Part of Elastic Scattering Amplitudes

1970 ◽  
Vol 2 (9) ◽  
pp. 1970-1974 ◽  
Author(s):  
Matthew A. Jacobs ◽  
Anthony Joseph ◽  
Shmuel Nussinov ◽  
Abbas A. Rangwala
Keyword(s):  
Elastic Scattering ◽  
Scattering Amplitudes ◽  
Imaginary Part ◽  
Upper Bound

scholarly journals DK I = 0, $$ D\overline{K} $$ I = 0, 1 scattering and the $$ {D}_{s0}^{\ast } $$(2317) from lattice QCD

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Gavin K. C. Cheung ◽  
◽  
Christopher E. Thomas ◽  
David J. Wilson ◽  
Graham Moir ◽  
...  
Keyword(s):  
Elastic Scattering ◽  
Scattering Amplitudes ◽  
Lattice Qcd ◽  
Finite Volume ◽  
Energy Region ◽  
Light Quark ◽  
Bound State ◽  
Vector Resonance ◽  
Quark Masses ◽  
Partial Waves

Abstract Elastic scattering amplitudes for I = 0 DK and I = 0, 1 $$ D\overline{K} $$ D K ¯ are computed in S, P and D partial waves using lattice QCD with light-quark masses corresponding to mπ = 239 MeV and mπ = 391 MeV. The S-waves contain interesting features including a near-threshold JP = 0+ bound state in I = 0 DK, corresponding to the $$ {D}_{s0}^{\ast } $$ D s 0 ∗ (2317), with an effect that is clearly visible above threshold, and suggestions of a 0+ virtual bound state in I = 0 $$ D\overline{K} $$ D K ¯ . The S-wave I = 1 $$ D\overline{K} $$ D K ¯ amplitude is found to be weakly repulsive. The computed finite-volume spectra also contain a deeply-bound D* vector resonance, but negligibly small P -wave DK interactions are observed in the energy region considered; the P and D-wave $$ D\overline{K} $$ D K ¯ amplitudes are also small. There is some evidence of 1+ and 2+ resonances in I = 0 DK at higher energies.

An experimental method for studying pion-vector-meson elastic-scattering amplitudes

1972 ◽  
Vol 7 (1) ◽  
pp. 1-8 ◽  
Author(s):  
G. Alexander ◽  
I. Bar-Nir ◽  
J. Grunhaus ◽  
A. Levy
Keyword(s):  
Elastic Scattering ◽  
Scattering Amplitudes ◽  
Vector Meson ◽  
Experimental Method

DIFFERENTIAL OPERATORS FOR SCATTERING AMPLITUDES

2007 ◽  
Vol 16 (09) ◽  
pp. 2910-2914
Author(s):  
MÁRCIO JOSÉ MENON ◽  
REGINA FONSECA ÁVILA
Keyword(s):  
Elastic Scattering ◽  
Scattering Amplitudes ◽  
Cross Section ◽  
Differential Form ◽  
Differential Operators ◽  
Dispersion Relations ◽  
Proton Scattering ◽  
Cross Section Data ◽  
Proton Proton ◽  
Section Data

We discuss novel dispersion relations in differential form, connecting real and imaginary parts of elastic scattering amplitudes and formally valid at any energy above the physical threshold. By means of fits to total cross section data from proton-proton and antiproton-proton scattering, we evaluate the corresponding ratio ρ between the real and imaginary parts of the forward amplitudes. We show that the results are exactly the same as those obtained through standard integral dispersion relations.

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