Unitarity and the Mandelstam Representation. II. Large-Angular-Momentum Partial-Wave Amplitudes

1968 ◽  
Vol 173 (5) ◽  
pp. 1439-1451 ◽  
Author(s):  
Arthur W. Martin
1981 ◽  
Vol 371 (3) ◽  
pp. 381-392 ◽  
Author(s):  
R.C. Johnson ◽  
E.J. Stephenson

1964 ◽  
Vol 135 (1A) ◽  
pp. A39-A43 ◽  
Author(s):  
J. W. Cederberg ◽  
N. F. Ramsey

2021 ◽  
Vol 57 (11) ◽  
pp. 1179
Author(s):  
Yu.V. Kulish ◽  
E.V. Rybachuk

The currents of higher-spin fermion interactions with zero- and half-spin particles are derived. They can be used for the N*(J) ↔ Nπ-transitions (N*(J) is thenucleon resonance with the J spin). In accordance with the theorem on currents and fields, the spin-tensors of these currents are traceless, and their products with the γ-matrices and the higher-spin fermion momentum vanish, similarly to the field spin-tensors. Such currents are derived explicitly for J=3/2and 5/2. It is shown that, in the present approach, the scale dimension of a higher spin fermion propagator equals to –1 for any J ≥ 1/2. The calculations indicate that the off-mass-shell N* contributions to the s-channel amplitudes correspond to J = JπN only ( JπN is the total angular momentum of the πN-system). As contrast, in the usually exploited approaches, such non-zero amplitudes correspond to 1/2 ≤  JπN ≤ J. In particular, the usually exploited approaches give non-zero off-mass-shell contributions of the ∆(1232)-resonance to the amplitudes S31, P31( JπN = 1/2) and P33, D33(JπN = 3/2), but our approach – to P33 and D33 only. The comparison of these results with the data of the partial wave analysis on the S31-amplitude in the ∆(1232)-region shows the better agreement for the present approach.


1966 ◽  
Vol 37 (2) ◽  
pp. 227-263 ◽  
Author(s):  
A.A. Anselm ◽  
Ya.I. Azimov ◽  
G.S. Danilov ◽  
I.T. Dyatlov ◽  
V.N. Gribov

2014 ◽  
Vol 23 (09) ◽  
pp. 1450043 ◽  
Author(s):  
L. P. Csernai ◽  
S. Velle

Peripheral heavy-ion reactions at ultra relativistic energies have large angular momentum that can be studied via two particle correlations using the Differential Hanbury Brown and Twiss method. In the present work, we analyze the possibilities and sensitivity of the method in rotating, few source systems. Analytic results provide insight in the advantages of this method.


1986 ◽  
Vol 323 (2) ◽  
pp. 163-171 ◽  
Author(s):  
H. Tricoire ◽  
C. Gerschel ◽  
A. Gillibert ◽  
N. Perrin

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