Sommerfeld-Watson representation for double-spectral functions
Abstract We discuss, for the case of pion-pion scattering, a closed system of equations which may be used for a self-consistent calculation of partial-wave amplitudes. It is shown that, for a given sufficiently small input function, the equations have a locally unique solution in a particular Banach...
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1975 |
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| Umfang: |
16 |
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| Reproduktion: |
Springer Online Journal Archives 1860-2002 |
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| Übergeordnetes Werk: |
in: Communications in mathematical physics - 1965, 43(1975) vom: Jan., Seite 1-16 |
| Übergeordnetes Werk: |
volume:43 ; year:1975 ; month:01 ; pages:1-16 ; extent:16 |
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| 520 | |a Abstract We discuss, for the case of pion-pion scattering, a closed system of equations which may be used for a self-consistent calculation of partial-wave amplitudes. It is shown that, for a given sufficiently small input function, the equations have a locally unique solution in a particular Banach space of doubly Hölder continuous partial wave amplitudes. At a fixed point, the scattering amplitude is shown to satisfy both a crossing symmetric unsubtracted Mandelstam representation and the elastic unitarity condition. In this initial study the partial-wave amplitudes are holomorphic in the right half complex angular-momentum plane. | ||
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(DE-627)NLEJ202223531 DE-627 ger DE-627 rakwb eng Sommerfeld-Watson representation for double-spectral functions 1975 16 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract We discuss, for the case of pion-pion scattering, a closed system of equations which may be used for a self-consistent calculation of partial-wave amplitudes. It is shown that, for a given sufficiently small input function, the equations have a locally unique solution in a particular Banach space of doubly Hölder continuous partial wave amplitudes. At a fixed point, the scattering amplitude is shown to satisfy both a crossing symmetric unsubtracted Mandelstam representation and the elastic unitarity condition. In this initial study the partial-wave amplitudes are holomorphic in the right half complex angular-momentum plane. Springer Online Journal Archives 1860-2002 Frederiksen, J. S. oth in Communications in mathematical physics 1965 43(1975) vom: Jan., Seite 1-16 (DE-627)NLEJ188990305 (DE-600)1458931-x 1432-0916 nnns volume:43 year:1975 month:01 pages:1-16 extent:16 http://dx.doi.org/10.1007/BF01609136 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 43 1975 1 1-16 16 |
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(DE-627)NLEJ202223531 DE-627 ger DE-627 rakwb eng Sommerfeld-Watson representation for double-spectral functions 1975 16 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract We discuss, for the case of pion-pion scattering, a closed system of equations which may be used for a self-consistent calculation of partial-wave amplitudes. It is shown that, for a given sufficiently small input function, the equations have a locally unique solution in a particular Banach space of doubly Hölder continuous partial wave amplitudes. At a fixed point, the scattering amplitude is shown to satisfy both a crossing symmetric unsubtracted Mandelstam representation and the elastic unitarity condition. In this initial study the partial-wave amplitudes are holomorphic in the right half complex angular-momentum plane. Springer Online Journal Archives 1860-2002 Frederiksen, J. S. oth in Communications in mathematical physics 1965 43(1975) vom: Jan., Seite 1-16 (DE-627)NLEJ188990305 (DE-600)1458931-x 1432-0916 nnns volume:43 year:1975 month:01 pages:1-16 extent:16 http://dx.doi.org/10.1007/BF01609136 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 43 1975 1 1-16 16 |
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(DE-627)NLEJ202223531 DE-627 ger DE-627 rakwb eng Sommerfeld-Watson representation for double-spectral functions 1975 16 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract We discuss, for the case of pion-pion scattering, a closed system of equations which may be used for a self-consistent calculation of partial-wave amplitudes. It is shown that, for a given sufficiently small input function, the equations have a locally unique solution in a particular Banach space of doubly Hölder continuous partial wave amplitudes. At a fixed point, the scattering amplitude is shown to satisfy both a crossing symmetric unsubtracted Mandelstam representation and the elastic unitarity condition. In this initial study the partial-wave amplitudes are holomorphic in the right half complex angular-momentum plane. Springer Online Journal Archives 1860-2002 Frederiksen, J. S. oth in Communications in mathematical physics 1965 43(1975) vom: Jan., Seite 1-16 (DE-627)NLEJ188990305 (DE-600)1458931-x 1432-0916 nnns volume:43 year:1975 month:01 pages:1-16 extent:16 http://dx.doi.org/10.1007/BF01609136 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 43 1975 1 1-16 16 |
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(DE-627)NLEJ202223531 DE-627 ger DE-627 rakwb eng Sommerfeld-Watson representation for double-spectral functions 1975 16 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract We discuss, for the case of pion-pion scattering, a closed system of equations which may be used for a self-consistent calculation of partial-wave amplitudes. It is shown that, for a given sufficiently small input function, the equations have a locally unique solution in a particular Banach space of doubly Hölder continuous partial wave amplitudes. At a fixed point, the scattering amplitude is shown to satisfy both a crossing symmetric unsubtracted Mandelstam representation and the elastic unitarity condition. In this initial study the partial-wave amplitudes are holomorphic in the right half complex angular-momentum plane. Springer Online Journal Archives 1860-2002 Frederiksen, J. S. oth in Communications in mathematical physics 1965 43(1975) vom: Jan., Seite 1-16 (DE-627)NLEJ188990305 (DE-600)1458931-x 1432-0916 nnns volume:43 year:1975 month:01 pages:1-16 extent:16 http://dx.doi.org/10.1007/BF01609136 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 43 1975 1 1-16 16 |
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(DE-627)NLEJ202223531 DE-627 ger DE-627 rakwb eng Sommerfeld-Watson representation for double-spectral functions 1975 16 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract We discuss, for the case of pion-pion scattering, a closed system of equations which may be used for a self-consistent calculation of partial-wave amplitudes. It is shown that, for a given sufficiently small input function, the equations have a locally unique solution in a particular Banach space of doubly Hölder continuous partial wave amplitudes. At a fixed point, the scattering amplitude is shown to satisfy both a crossing symmetric unsubtracted Mandelstam representation and the elastic unitarity condition. In this initial study the partial-wave amplitudes are holomorphic in the right half complex angular-momentum plane. Springer Online Journal Archives 1860-2002 Frederiksen, J. S. oth in Communications in mathematical physics 1965 43(1975) vom: Jan., Seite 1-16 (DE-627)NLEJ188990305 (DE-600)1458931-x 1432-0916 nnns volume:43 year:1975 month:01 pages:1-16 extent:16 http://dx.doi.org/10.1007/BF01609136 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 43 1975 1 1-16 16 |
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Abstract We discuss, for the case of pion-pion scattering, a closed system of equations which may be used for a self-consistent calculation of partial-wave amplitudes. It is shown that, for a given sufficiently small input function, the equations have a locally unique solution in a particular Banach space of doubly Hölder continuous partial wave amplitudes. At a fixed point, the scattering amplitude is shown to satisfy both a crossing symmetric unsubtracted Mandelstam representation and the elastic unitarity condition. In this initial study the partial-wave amplitudes are holomorphic in the right half complex angular-momentum plane. |
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Abstract We discuss, for the case of pion-pion scattering, a closed system of equations which may be used for a self-consistent calculation of partial-wave amplitudes. It is shown that, for a given sufficiently small input function, the equations have a locally unique solution in a particular Banach space of doubly Hölder continuous partial wave amplitudes. At a fixed point, the scattering amplitude is shown to satisfy both a crossing symmetric unsubtracted Mandelstam representation and the elastic unitarity condition. In this initial study the partial-wave amplitudes are holomorphic in the right half complex angular-momentum plane. |
| abstract_unstemmed |
Abstract We discuss, for the case of pion-pion scattering, a closed system of equations which may be used for a self-consistent calculation of partial-wave amplitudes. It is shown that, for a given sufficiently small input function, the equations have a locally unique solution in a particular Banach space of doubly Hölder continuous partial wave amplitudes. At a fixed point, the scattering amplitude is shown to satisfy both a crossing symmetric unsubtracted Mandelstam representation and the elastic unitarity condition. In this initial study the partial-wave amplitudes are holomorphic in the right half complex angular-momentum plane. |
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