Reformulation of the Crossing-Unitarity Equation in Terms of Partial Waves

1972 ◽  
Vol 6 (10) ◽  
pp. 2966-2976 ◽  
Author(s):  
D. Atkinson ◽  
P. W. Johnson ◽  
R. L. Warnock
Keyword(s):  
Unitarity Equation ◽  
Partial Waves

scholarly journals Celestial amplitudes: conformal partial waves and soft limits

2019 ◽  
Vol 2019 (10) ◽  
Author(s):  
Dhritiman Nandan ◽  
Anders Schreiber ◽  
Anastasia Volovich ◽  
Michael Zlotnikov
Keyword(s):  
Partial Waves

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.

Atomic Scattering Factors for Electrons as Calculated by the Partial‐Waves Method

1967 ◽  
Vol 46 (7) ◽  
pp. 2599-2603 ◽  
Author(s):  
Masao Kimura ◽  
Shigehiro Konaka ◽  
Makoto Ogasawara
Keyword(s):  
Partial Waves ◽  
Atomic Scattering

PWA OF πN SCATTERING WITH FIXED-t DISPERSION RELATIONS

2005 ◽  
Vol 20 (08n09) ◽  
pp. 1810-1813
Author(s):  
PEKKO PIIROLA ◽  
M. E. SAINIO
Keyword(s):  
Data Base ◽  
Forward Direction ◽  
Dispersion Relations ◽  
Data Sets ◽  
Coupling Constant ◽  
Partial Waves ◽  
Scattering Measurements ◽  
Pion Nucleon ◽  
Good Agreement

The πN scattering measurements from last couple of decades are not in very good agreement with each other. In fact, using the different data sets one finds different values for the pion-nucleon coupling constant. An analysis with theoretical constraints is the only way to produce accurate partial waves. In this analysis, the fixed-t dispersion relations are used to ensure analyticity in the invariant amplitudes and to decrease the effects of inaccuracies in the data base. Pietarinen's expansion is the method used to enforce the dispersion constraints. The strength of the analyticity constraints is illustrated with C± amplitudes in the forward direction.

Regge Models and Dispersion Relations for Partial Waves

1976 ◽  
Vol 24 (9) ◽  
pp. 477-505 ◽  
Author(s):  
F. Kaschluhnxs ◽  
M. Müller-Preussker
Keyword(s):  
Dispersion Relations ◽  
Partial Waves

ALPHA DECAY AND FISSION OF ALIGNED NUCLEI

1960 ◽  
Vol 38 (2) ◽  
pp. 290-314 ◽  
Author(s):  
N. R. Steenberg ◽  
R. C. Sharma
Keyword(s):  
Angular Distribution ◽  
High Temperature ◽  
Experimental Work ◽  
Low Temperatures ◽  
Alpha Decay ◽  
Alpha Particles ◽  
Nuclear Shape ◽  
Fission Fragments ◽  
Partial Waves ◽  
High Temperature Approximation

The theory of the angular distribution of alpha particles and of fission fragments from nuclei aligned at low temperatures is presented. Very explicit results are obtained in the high temperature approximation. These are directly dependent upon the branching which takes place to the various allowed partial waves. This branching is influenced by the nuclear shape, but it is shown that for this problem the effect of penetrating a spheroidal barrier is not critical. An application is made to the experimental work so far available and the result is reasonably satisfactory.

Pomeranchuk Theorem for Partial Waves and Narrowing of Resonance Widths: TheϱMeson

1968 ◽  
Vol 173 (5) ◽  
pp. 1434-1439
Author(s):  
Bipin R. Desai ◽  
David T. Gregorich
Keyword(s):  
Pomeranchuk Theorem ◽  
Partial Waves

Inequalities for the Pion-Pion Partial Waves: General Considerations and New Inequalities

1972 ◽  
Vol 6 (2) ◽  
pp. 631-639
Author(s):  
A. P. Balachandran ◽  
Maurice L. Blackmon
Keyword(s):  
Partial Waves ◽  
New Inequalities
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