General Properties of Higher-Spin Fermion Interaction Currents and Their Test in πN-Scattering

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.

1985 ◽  
Vol 50 (10) ◽  
pp. 2093-2100
Author(s):  
Štěpán Pick ◽  
Mojmír Tomášek ◽  
Mojmír Šob

Partial wave analysis together with the qualitative examination of hybridization has been performed for two ordered intermetallic alloys with CsCl structure, FeV, and CoTi. The results resemble those obtained previously for FeTi, although important deviations are present as well. The stabilization of the ordered phase is again due to ionic effects. Qualitative arguments are suggested to explain the small stability of the CsCl phase of FeV and some differences in the FeTi and CoTi phase diagrams.


1975 ◽  
Vol 90 ◽  
pp. 1-19 ◽  
Author(s):  
A. de Bellefon ◽  
A. Berthon ◽  
J. Brunet ◽  
G. Tristram ◽  
J. Vrana ◽  
...  

1977 ◽  
Vol 131 (4-5) ◽  
pp. 399-420 ◽  
Author(s):  
W. Cameron ◽  
B. Franek ◽  
G.P. Gopal ◽  
G.E. Kalmus ◽  
A.C. McPherson ◽  
...  

1967 ◽  
Vol 164 (5) ◽  
pp. 1981-1990 ◽  
Author(s):  
R. Delbourgo ◽  
Abdus Salam ◽  
J. Strathdee

1977 ◽  
Vol 125 (1) ◽  
pp. 61-82 ◽  
Author(s):  
M.J. Corden ◽  
G.F. Cox ◽  
I.R. Kenyon ◽  
S.W. O'Neale ◽  
K.C.T.O. Sumorok ◽  
...  

1994 ◽  
Vol 50 (1) ◽  
pp. 48-73 ◽  
Author(s):  
R. Timmermans ◽  
Th. A. Rijken ◽  
J. J. de Swart

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