scholarly journals Watson’s theorem and theNΔ(1232)axial transition

2016 ◽  
Vol 93 (1) ◽  
Author(s):  
L. Alvarez-Ruso ◽  
E. Hernández ◽  
J. Nieves ◽  
M. J. Vicente Vacas
Keyword(s):  
Watson’S Theorem

Neutrino induced one-pion production in the Delta region and Watson’s theorem

2015 ◽  
Author(s):  
L. Alvarez-Ruso ◽  
E. Hernández ◽  
J. Nieves ◽  
M. J. Vicente Vacas
Keyword(s):  
Pion Production ◽  
Delta Region ◽  
Watson’S Theorem

Watson’s theorem for low-energyp−dradiative capture

1999 ◽  
Vol 59 (4) ◽  
pp. 2152-2161 ◽  
Author(s):  
L. D. Knutson
Keyword(s):  
Watson’S Theorem

scholarly journals EXTRACTION OF RESONANCE PARAMETERS AND ROLE OF THE FINAL STATE INTERACTIONS

2014 ◽  
Vol 26 ◽  
pp. 1460082 ◽  
Author(s):  
IGOR I. STRAKOVSKY ◽  
WILLIAM J. BRISCOE ◽  
ALEXANDER E. KUDRYAVTSEV ◽  
VLADIMIR E. TARASOV
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Impulse Approximation ◽  
Pion Photoproduction ◽  
Final State ◽  
The World ◽  
Final State Interactions ◽  
Watson’S Theorem ◽  
Photoproduction Data

We present an overview of the SAID group effort to analyze new γn → π-p cross sections vs. the world database to get new multipoles and determine neutron electromagnetic couplings. The differential cross section for the processes γn → π-p was extracted from new measurements at CLAS and MAMI-B accounting for Fermi motion effects in the impulse approximation (IA) as well as NN- and πN-FSI effects beyond the IA. We evaluated results of several pion photoproduction analyses and compared πN PWA results as a constraint for analyses of pion photoproduction data (Watson's theorem).

scholarly journals Watson's theorem and electromagnetism in K→ππ decay

2001 ◽  
Vol 508 (1-2) ◽  
pp. 44-50 ◽  
Author(s):  
S. Gardner ◽  
Ulf-G. Meißner ◽  
G. Valencia
Keyword(s):  
Watson’S Theorem

scholarly journals Some multiple Gaussian hypergeometric generalizations of Buschman-Srivastava theorem

2005 ◽  
Vol 2005 (1) ◽  
pp. 143-153 ◽  
Author(s):  
M. I. Qureshi ◽  
M. Sadiq Khan ◽  
M. A. Pathan
Keyword(s):  
Hypergeometric Function ◽  
Hypergeometric Functions ◽  
Kummer Functions ◽  
Special Cases ◽  
Watson’S Theorem

Some generalizations of Bailey's theorem involving the product of two Kummer functions1F1are obtained by using Watson's theorem and Srivastava's identities. Its special cases yield various new transformations and reduction formulae involving Pathan's quadruple hypergeometric functionsFp(4), Srivastava's triple and quadruple hypergeometric functionsF(3),F(4), Lauricella's quadruple hypergeometric functionFA(4), Exton's multiple hypergeometric functionsXE:G;HA:B;D,K10,K13,X8,(k)H2(n),(k)H4(n), Erdélyi's multiple hypergeometric functionHn,k, Khan and Pathan's triple hypergeometric functionH4(P), Kampé de Fériet's double hypergeometric functionFE:G;HA:B;D, Appell's double hypergeometric function of the second kindF2, and the Srivastava-Daoust functionFD:E(1);E(2);…;E(n)A:B(1);B(2);…;B(n). Some known results of Buschman, Srivastava, and Bailey are obtained.

Watson's theorem and resonant pion photoproduction amplitude in the delta channel

1984 ◽  
Vol 142 (5-6) ◽  
pp. 336-339 ◽  
Author(s):  
R. Wittman ◽  
R. Davidson ◽  
Nimai C. Mukhopadhyay
Keyword(s):  
Pion Photoproduction ◽  
Watson’S Theorem

scholarly journals GENERALIZATION OF WATSON'S THEOREM FOR DOUBLE SERIES

2004 ◽  
Vol 19 (3) ◽  
pp. 569-576
Author(s):  
Yong-Sup Kim ◽  
Arjun-K. Rathie ◽  
Chan-Bong Park ◽  
Chang-Hyun Lee
Keyword(s):  
Double Series ◽  
Watson’S Theorem

scholarly journals On the scalar $$\varvec{\pi K}$$ form factor beyond the elastic region

2021 ◽  
Vol 81 (5) ◽  
Author(s):  
L. von Detten ◽  
F. Noël ◽  
C. Hanhart ◽  
M. Hoferichter ◽  
B. Kubis
Keyword(s):  
Form Factor ◽  
Branching Fraction ◽  
Heavy Particle ◽  
Form Factors ◽  
Elastic Region ◽  
Analytic Structure ◽  
Wide Energy Range ◽  
Tensor Operator ◽  
Watson’S Theorem ◽  
Consistent Treatment

AbstractPion–kaon ($$\pi K$$ π K ) pairs occur frequently as final states in heavy-particle decays. A consistent treatment of $$\pi K$$ π K scattering and production amplitudes over a wide energy range is therefore mandatory for multiple applications: in Standard Model tests; to describe crossed channels in the quest for exotic hadronic states; and for an improved spectroscopy of excited kaon resonances. In the elastic region, the phase shifts of $$\pi K$$ π K scattering in a given partial wave are related to the phases of the respective $$\pi K$$ π K form factors by Watson’s theorem. Going beyond that, we here construct a representation of the scalar $$\pi K$$ π K form factor that includes inelastic effects via resonance exchange, while fulfilling all constraints from $$\pi K$$ π K scattering and maintaining the correct analytic structure. As a first application, we consider the decay $${\tau \rightarrow K_S\pi \nu _\tau }$$ τ → K S π ν τ , in particular, we study to which extent the S-wave $$K_0^*(1430)$$ K 0 ∗ ( 1430 ) and the P-wave $$K^*(1410)$$ K ∗ ( 1410 ) resonances can be differentiated and provide an improved estimate of the CP asymmetry produced by a tensor operator. Finally, we extract the pole parameters of the $$K_0^*(1430)$$ K 0 ∗ ( 1430 ) and $$K_0^*(1950)$$ K 0 ∗ ( 1950 ) resonances via Padé approximants, $$\sqrt{s_{K_0^*(1430)}}=[1408(48)-i\, 180(48)]\,\text {MeV}$$ s K 0 ∗ ( 1430 ) = [ 1408 ( 48 ) - i 180 ( 48 ) ] MeV and $$\sqrt{s_{K_0^*(1950)}}=[1863(12)-i\,136(20)]\,\text {MeV}$$ s K 0 ∗ ( 1950 ) = [ 1863 ( 12 ) - i 136 ( 20 ) ] MeV , as well as the pole residues. A generalization of the method also allows us to formally define a branching fraction for $${\tau \rightarrow K_0^*(1430)\nu _\tau }$$ τ → K 0 ∗ ( 1430 ) ν τ in terms of the corresponding residue, leading to the upper limit $${\text {BR}(\tau \rightarrow K_0^*(1430)\nu _\tau )<1.6 \times 10^{-4}}$$ BR ( τ → K 0 ∗ ( 1430 ) ν τ ) < 1.6 × 10 - 4 .

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