Off‐the‐mass shell scattering amplitude in a two‐particle potential model

1982 ◽  
Vol 50 (1) ◽  
pp. 41-45
Author(s):  
F. A. B. Coutinho
1971 ◽  
Vol 34 (2) ◽  
pp. 152-155
Author(s):  
L.J. Gutay ◽  
J.H. Scharenguivel ◽  
R.L. McIlwain ◽  
F.T. Meiere

1993 ◽  
Vol 08 (03) ◽  
pp. 237-243
Author(s):  
R.G. JAFAROV ◽  
S.A. HADJIEV

A method of calculating the forward scattering amplitude for fermions and scalar bosons with the exchange of scalar particle is suggested. The Bethe-Salpeter ladder equation for the imaginary part of the amplitude is constructed and a solution in Regge asymptotical form is found and the corrections to the amplitude due to the exit from mass shell are calculated.


2003 ◽  
Vol 52 (4) ◽  
pp. 823
Author(s):  
Lin Cheng-Jian ◽  
Zhang Huan-Qiao ◽  
Liu Zu-Hua ◽  
Wu Yue-Wei ◽  
Yang Feng ◽  
...  

2012 ◽  
Vol 57 (12) ◽  
pp. 1197
Author(s):  
R. Fiore ◽  
L.L. Jenkovszky ◽  
A. Lavorini ◽  
V.K. Magas

We show how the familiar phenomenological way of combining the Q2 (photon virtuality) and t (squared momentum transfer) dependences of the scattering amplitude in Deeply Virtual Compton Scattering (DVCS) [1, 2] and Vector Meson Production (VMP) [2] processes can be understood in an off-mass-shell generalization of dual amplitudes with Mandelstam analyticity [3]. By comparingdifferent approaches, we managed also to constrain the numerical values of the free parameters.


2020 ◽  
Vol 80 (12) ◽  
Author(s):  
Zhi-Yong Zhou ◽  
Zhiguang Xiao

AbstractIn this paper, we present how the Friedrichs–Lee model could be extended to the relativistic scenario and be combined with the relativistic quark pair creation model in a consistent way. This scheme could be applied to study the “unquenched” effect of the meson spectra. As an example, if the lowest $$J^{PC}=0^{++}$$ J PC = 0 + + $$(u\bar{u}+d\bar{d})/\sqrt{2}$$ ( u u ¯ + d d ¯ ) / 2 bound state in the potential model is coupled to the $$\pi \pi $$ π π continuum, two resonance poles could be found from the scattering amplitude for the continuum states. One of them could correspond to the $$f_0(500)/\sigma $$ f 0 ( 500 ) / σ and the other probably $$f_0(1370)$$ f 0 ( 1370 ) . This scheme might shed more light on why extra states could appear in the hadron spectrum other than the prediction of the quark potential model.


Pramana ◽  
1995 ◽  
Vol 44 (2) ◽  
pp. 145-152 ◽  
Author(s):  
N Barik ◽  
P Das ◽  
A R Panda

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