Overlap function analysis of πWENA elastic and charge exchange scattering at high energies
Summary In terms of overlap functions, a new kind of analysis of π elastic and charge exchange scattering data at high energies and small momentum transfers is given. The data analysed cover a range 6 GeV/c≾qL=pion laboratory momentum ≾18 GeV/c and 0≤−t=(centre-of-mass momentum transfer)2 ≾1 (GeV/c)...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Henzi, R. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1967 |
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| Schlagwörter: |
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| Anmerkung: |
© Società Italiana di Fisica 1967 |
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| Übergeordnetes Werk: |
Enthalten in: Il Nuovo Cimento A (1965-1970) - Springer Berlin Heidelberg, 1971, 52(1967), 3 vom: Dez., Seite 772-799 |
|---|---|
| Übergeordnetes Werk: |
volume:52 ; year:1967 ; number:3 ; month:12 ; pages:772-799 |
| Links: |
|---|
| DOI / URN: |
10.1007/BF02738843 |
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| Katalog-ID: |
OLC2087126488 |
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| 245 | 1 | 0 | |a Overlap function analysis of πWENA elastic and charge exchange scattering at high energies |
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| 520 | |a Summary In terms of overlap functions, a new kind of analysis of π elastic and charge exchange scattering data at high energies and small momentum transfers is given. The data analysed cover a range 6 GeV/c≾qL=pion laboratory momentum ≾18 GeV/c and 0≤−t=(centre-of-mass momentum transfer)2 ≾1 (GeV/c)2. The phenomenological expressions of the scattering amplitudes, including spin-flip, as they are obtained from experiment, are traced back to simple forms for the $ π^{±} $p overlap functions. The latter are interpreted in terms of different classes of inelastic $ π^{±} $p collisions, each contributing with a characteristic power ofs=(centre-of-mass energy)2 to the overlap functions. The dominant deviations from the genuine asymptotic situation (where $ π^{+} $p and $ π^{-} $p elastic scattering are expected to be identical) are attributed to the presence of «charge annihilation channels» among $ π^{-} $p inelastic transitions which have no counterpart among the $ π^{+} $p inelastic transitions. In this context the concepts of absorptive corrections and of a common interaction volume for both elastic and inelastic collisions are encountered within the overlap function framework. The actual simple forms we have adopted for the overlap functions imply that the charge exchange peak must remain somewhat broader than the elastic ones, so that in the case of constancy of the latter the observed shrinkage of the former is predicted to slow down and stop, or alternatively but less plausibly, elastic peaks have to start to shrink, the change occurring at an energy somewhat higher than the ones here studied and which is estimated to beqL≅26 GeV/c. Another implication of our overlap functions is that the Reggeized ρ-exchange form of the charge exchange amplitude is supplemented by small corrections. As will be shown in a succeeding paper, these account in a natural manner for the measured polarization in $ π^{-} $p → $ π^{0} $n. Also the $ π^{±} $p → $ π^{±} $p polarizations will be shown to be satisfactorily described in the present formalism. | ||
| 650 | 4 | |a Charge Exchange | |
| 650 | 4 | |a Elastic Scattering | |
| 650 | 4 | |a Inelastic Collision | |
| 650 | 4 | |a Annihilation Channel | |
| 650 | 4 | |a Elastic Peak | |
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10.1007/BF02738843 doi (DE-627)OLC2087126488 (DE-He213)BF02738843-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Henzi, R. verfasserin aut Overlap function analysis of πWENA elastic and charge exchange scattering at high energies 1967 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Società Italiana di Fisica 1967 Summary In terms of overlap functions, a new kind of analysis of π elastic and charge exchange scattering data at high energies and small momentum transfers is given. The data analysed cover a range 6 GeV/c≾qL=pion laboratory momentum ≾18 GeV/c and 0≤−t=(centre-of-mass momentum transfer)2 ≾1 (GeV/c)2. The phenomenological expressions of the scattering amplitudes, including spin-flip, as they are obtained from experiment, are traced back to simple forms for the $ π^{±} $p overlap functions. The latter are interpreted in terms of different classes of inelastic $ π^{±} $p collisions, each contributing with a characteristic power ofs=(centre-of-mass energy)2 to the overlap functions. The dominant deviations from the genuine asymptotic situation (where $ π^{+} $p and $ π^{-} $p elastic scattering are expected to be identical) are attributed to the presence of «charge annihilation channels» among $ π^{-} $p inelastic transitions which have no counterpart among the $ π^{+} $p inelastic transitions. In this context the concepts of absorptive corrections and of a common interaction volume for both elastic and inelastic collisions are encountered within the overlap function framework. The actual simple forms we have adopted for the overlap functions imply that the charge exchange peak must remain somewhat broader than the elastic ones, so that in the case of constancy of the latter the observed shrinkage of the former is predicted to slow down and stop, or alternatively but less plausibly, elastic peaks have to start to shrink, the change occurring at an energy somewhat higher than the ones here studied and which is estimated to beqL≅26 GeV/c. Another implication of our overlap functions is that the Reggeized ρ-exchange form of the charge exchange amplitude is supplemented by small corrections. As will be shown in a succeeding paper, these account in a natural manner for the measured polarization in $ π^{-} $p → $ π^{0} $n. Also the $ π^{±} $p → $ π^{±} $p polarizations will be shown to be satisfactorily described in the present formalism. Charge Exchange Elastic Scattering Inelastic Collision Annihilation Channel Elastic Peak Enthalten in Il Nuovo Cimento A (1965-1970) Springer Berlin Heidelberg, 1971 52(1967), 3 vom: Dez., Seite 772-799 (DE-627)130067792 (DE-600)441918-2 (DE-576)015602206 0369-3546 nnns volume:52 year:1967 number:3 month:12 pages:772-799 https://doi.org/10.1007/BF02738843 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY 33.00 VZ AR 52 1967 3 12 772-799 |
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10.1007/BF02738843 doi (DE-627)OLC2087126488 (DE-He213)BF02738843-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Henzi, R. verfasserin aut Overlap function analysis of πWENA elastic and charge exchange scattering at high energies 1967 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Società Italiana di Fisica 1967 Summary In terms of overlap functions, a new kind of analysis of π elastic and charge exchange scattering data at high energies and small momentum transfers is given. The data analysed cover a range 6 GeV/c≾qL=pion laboratory momentum ≾18 GeV/c and 0≤−t=(centre-of-mass momentum transfer)2 ≾1 (GeV/c)2. The phenomenological expressions of the scattering amplitudes, including spin-flip, as they are obtained from experiment, are traced back to simple forms for the $ π^{±} $p overlap functions. The latter are interpreted in terms of different classes of inelastic $ π^{±} $p collisions, each contributing with a characteristic power ofs=(centre-of-mass energy)2 to the overlap functions. The dominant deviations from the genuine asymptotic situation (where $ π^{+} $p and $ π^{-} $p elastic scattering are expected to be identical) are attributed to the presence of «charge annihilation channels» among $ π^{-} $p inelastic transitions which have no counterpart among the $ π^{+} $p inelastic transitions. In this context the concepts of absorptive corrections and of a common interaction volume for both elastic and inelastic collisions are encountered within the overlap function framework. The actual simple forms we have adopted for the overlap functions imply that the charge exchange peak must remain somewhat broader than the elastic ones, so that in the case of constancy of the latter the observed shrinkage of the former is predicted to slow down and stop, or alternatively but less plausibly, elastic peaks have to start to shrink, the change occurring at an energy somewhat higher than the ones here studied and which is estimated to beqL≅26 GeV/c. Another implication of our overlap functions is that the Reggeized ρ-exchange form of the charge exchange amplitude is supplemented by small corrections. As will be shown in a succeeding paper, these account in a natural manner for the measured polarization in $ π^{-} $p → $ π^{0} $n. Also the $ π^{±} $p → $ π^{±} $p polarizations will be shown to be satisfactorily described in the present formalism. Charge Exchange Elastic Scattering Inelastic Collision Annihilation Channel Elastic Peak Enthalten in Il Nuovo Cimento A (1965-1970) Springer Berlin Heidelberg, 1971 52(1967), 3 vom: Dez., Seite 772-799 (DE-627)130067792 (DE-600)441918-2 (DE-576)015602206 0369-3546 nnns volume:52 year:1967 number:3 month:12 pages:772-799 https://doi.org/10.1007/BF02738843 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY 33.00 VZ AR 52 1967 3 12 772-799 |
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10.1007/BF02738843 doi (DE-627)OLC2087126488 (DE-He213)BF02738843-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Henzi, R. verfasserin aut Overlap function analysis of πWENA elastic and charge exchange scattering at high energies 1967 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Società Italiana di Fisica 1967 Summary In terms of overlap functions, a new kind of analysis of π elastic and charge exchange scattering data at high energies and small momentum transfers is given. The data analysed cover a range 6 GeV/c≾qL=pion laboratory momentum ≾18 GeV/c and 0≤−t=(centre-of-mass momentum transfer)2 ≾1 (GeV/c)2. The phenomenological expressions of the scattering amplitudes, including spin-flip, as they are obtained from experiment, are traced back to simple forms for the $ π^{±} $p overlap functions. The latter are interpreted in terms of different classes of inelastic $ π^{±} $p collisions, each contributing with a characteristic power ofs=(centre-of-mass energy)2 to the overlap functions. The dominant deviations from the genuine asymptotic situation (where $ π^{+} $p and $ π^{-} $p elastic scattering are expected to be identical) are attributed to the presence of «charge annihilation channels» among $ π^{-} $p inelastic transitions which have no counterpart among the $ π^{+} $p inelastic transitions. In this context the concepts of absorptive corrections and of a common interaction volume for both elastic and inelastic collisions are encountered within the overlap function framework. The actual simple forms we have adopted for the overlap functions imply that the charge exchange peak must remain somewhat broader than the elastic ones, so that in the case of constancy of the latter the observed shrinkage of the former is predicted to slow down and stop, or alternatively but less plausibly, elastic peaks have to start to shrink, the change occurring at an energy somewhat higher than the ones here studied and which is estimated to beqL≅26 GeV/c. Another implication of our overlap functions is that the Reggeized ρ-exchange form of the charge exchange amplitude is supplemented by small corrections. As will be shown in a succeeding paper, these account in a natural manner for the measured polarization in $ π^{-} $p → $ π^{0} $n. Also the $ π^{±} $p → $ π^{±} $p polarizations will be shown to be satisfactorily described in the present formalism. Charge Exchange Elastic Scattering Inelastic Collision Annihilation Channel Elastic Peak Enthalten in Il Nuovo Cimento A (1965-1970) Springer Berlin Heidelberg, 1971 52(1967), 3 vom: Dez., Seite 772-799 (DE-627)130067792 (DE-600)441918-2 (DE-576)015602206 0369-3546 nnns volume:52 year:1967 number:3 month:12 pages:772-799 https://doi.org/10.1007/BF02738843 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY 33.00 VZ AR 52 1967 3 12 772-799 |
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10.1007/BF02738843 doi (DE-627)OLC2087126488 (DE-He213)BF02738843-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Henzi, R. verfasserin aut Overlap function analysis of πWENA elastic and charge exchange scattering at high energies 1967 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Società Italiana di Fisica 1967 Summary In terms of overlap functions, a new kind of analysis of π elastic and charge exchange scattering data at high energies and small momentum transfers is given. The data analysed cover a range 6 GeV/c≾qL=pion laboratory momentum ≾18 GeV/c and 0≤−t=(centre-of-mass momentum transfer)2 ≾1 (GeV/c)2. The phenomenological expressions of the scattering amplitudes, including spin-flip, as they are obtained from experiment, are traced back to simple forms for the $ π^{±} $p overlap functions. The latter are interpreted in terms of different classes of inelastic $ π^{±} $p collisions, each contributing with a characteristic power ofs=(centre-of-mass energy)2 to the overlap functions. The dominant deviations from the genuine asymptotic situation (where $ π^{+} $p and $ π^{-} $p elastic scattering are expected to be identical) are attributed to the presence of «charge annihilation channels» among $ π^{-} $p inelastic transitions which have no counterpart among the $ π^{+} $p inelastic transitions. In this context the concepts of absorptive corrections and of a common interaction volume for both elastic and inelastic collisions are encountered within the overlap function framework. The actual simple forms we have adopted for the overlap functions imply that the charge exchange peak must remain somewhat broader than the elastic ones, so that in the case of constancy of the latter the observed shrinkage of the former is predicted to slow down and stop, or alternatively but less plausibly, elastic peaks have to start to shrink, the change occurring at an energy somewhat higher than the ones here studied and which is estimated to beqL≅26 GeV/c. Another implication of our overlap functions is that the Reggeized ρ-exchange form of the charge exchange amplitude is supplemented by small corrections. As will be shown in a succeeding paper, these account in a natural manner for the measured polarization in $ π^{-} $p → $ π^{0} $n. Also the $ π^{±} $p → $ π^{±} $p polarizations will be shown to be satisfactorily described in the present formalism. Charge Exchange Elastic Scattering Inelastic Collision Annihilation Channel Elastic Peak Enthalten in Il Nuovo Cimento A (1965-1970) Springer Berlin Heidelberg, 1971 52(1967), 3 vom: Dez., Seite 772-799 (DE-627)130067792 (DE-600)441918-2 (DE-576)015602206 0369-3546 nnns volume:52 year:1967 number:3 month:12 pages:772-799 https://doi.org/10.1007/BF02738843 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY 33.00 VZ AR 52 1967 3 12 772-799 |
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10.1007/BF02738843 doi (DE-627)OLC2087126488 (DE-He213)BF02738843-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Henzi, R. verfasserin aut Overlap function analysis of πWENA elastic and charge exchange scattering at high energies 1967 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Società Italiana di Fisica 1967 Summary In terms of overlap functions, a new kind of analysis of π elastic and charge exchange scattering data at high energies and small momentum transfers is given. The data analysed cover a range 6 GeV/c≾qL=pion laboratory momentum ≾18 GeV/c and 0≤−t=(centre-of-mass momentum transfer)2 ≾1 (GeV/c)2. The phenomenological expressions of the scattering amplitudes, including spin-flip, as they are obtained from experiment, are traced back to simple forms for the $ π^{±} $p overlap functions. The latter are interpreted in terms of different classes of inelastic $ π^{±} $p collisions, each contributing with a characteristic power ofs=(centre-of-mass energy)2 to the overlap functions. The dominant deviations from the genuine asymptotic situation (where $ π^{+} $p and $ π^{-} $p elastic scattering are expected to be identical) are attributed to the presence of «charge annihilation channels» among $ π^{-} $p inelastic transitions which have no counterpart among the $ π^{+} $p inelastic transitions. In this context the concepts of absorptive corrections and of a common interaction volume for both elastic and inelastic collisions are encountered within the overlap function framework. The actual simple forms we have adopted for the overlap functions imply that the charge exchange peak must remain somewhat broader than the elastic ones, so that in the case of constancy of the latter the observed shrinkage of the former is predicted to slow down and stop, or alternatively but less plausibly, elastic peaks have to start to shrink, the change occurring at an energy somewhat higher than the ones here studied and which is estimated to beqL≅26 GeV/c. Another implication of our overlap functions is that the Reggeized ρ-exchange form of the charge exchange amplitude is supplemented by small corrections. As will be shown in a succeeding paper, these account in a natural manner for the measured polarization in $ π^{-} $p → $ π^{0} $n. Also the $ π^{±} $p → $ π^{±} $p polarizations will be shown to be satisfactorily described in the present formalism. Charge Exchange Elastic Scattering Inelastic Collision Annihilation Channel Elastic Peak Enthalten in Il Nuovo Cimento A (1965-1970) Springer Berlin Heidelberg, 1971 52(1967), 3 vom: Dez., Seite 772-799 (DE-627)130067792 (DE-600)441918-2 (DE-576)015602206 0369-3546 nnns volume:52 year:1967 number:3 month:12 pages:772-799 https://doi.org/10.1007/BF02738843 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY 33.00 VZ AR 52 1967 3 12 772-799 |
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The data analysed cover a range 6 GeV/c≾qL=pion laboratory momentum ≾18 GeV/c and 0≤−t=(centre-of-mass momentum transfer)2 ≾1 (GeV/c)2. The phenomenological expressions of the scattering amplitudes, including spin-flip, as they are obtained from experiment, are traced back to simple forms for the $ π^{±} $p overlap functions. The latter are interpreted in terms of different classes of inelastic $ π^{±} $p collisions, each contributing with a characteristic power ofs=(centre-of-mass energy)2 to the overlap functions. The dominant deviations from the genuine asymptotic situation (where $ π^{+} $p and $ π^{-} $p elastic scattering are expected to be identical) are attributed to the presence of «charge annihilation channels» among $ π^{-} $p inelastic transitions which have no counterpart among the $ π^{+} $p inelastic transitions. 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530 VZ 33.00 bkl Overlap function analysis of πWENA elastic and charge exchange scattering at high energies Charge Exchange Elastic Scattering Inelastic Collision Annihilation Channel Elastic Peak |
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Overlap function analysis of πWENA elastic and charge exchange scattering at high energies |
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Overlap function analysis of πWENA elastic and charge exchange scattering at high energies |
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Henzi, R. |
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Il Nuovo Cimento A (1965-1970) |
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1967 |
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10.1007/BF02738843 |
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530 |
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overlap function analysis of πwena elastic and charge exchange scattering at high energies |
| title_auth |
Overlap function analysis of πWENA elastic and charge exchange scattering at high energies |
| abstract |
Summary In terms of overlap functions, a new kind of analysis of π elastic and charge exchange scattering data at high energies and small momentum transfers is given. The data analysed cover a range 6 GeV/c≾qL=pion laboratory momentum ≾18 GeV/c and 0≤−t=(centre-of-mass momentum transfer)2 ≾1 (GeV/c)2. The phenomenological expressions of the scattering amplitudes, including spin-flip, as they are obtained from experiment, are traced back to simple forms for the $ π^{±} $p overlap functions. The latter are interpreted in terms of different classes of inelastic $ π^{±} $p collisions, each contributing with a characteristic power ofs=(centre-of-mass energy)2 to the overlap functions. The dominant deviations from the genuine asymptotic situation (where $ π^{+} $p and $ π^{-} $p elastic scattering are expected to be identical) are attributed to the presence of «charge annihilation channels» among $ π^{-} $p inelastic transitions which have no counterpart among the $ π^{+} $p inelastic transitions. In this context the concepts of absorptive corrections and of a common interaction volume for both elastic and inelastic collisions are encountered within the overlap function framework. The actual simple forms we have adopted for the overlap functions imply that the charge exchange peak must remain somewhat broader than the elastic ones, so that in the case of constancy of the latter the observed shrinkage of the former is predicted to slow down and stop, or alternatively but less plausibly, elastic peaks have to start to shrink, the change occurring at an energy somewhat higher than the ones here studied and which is estimated to beqL≅26 GeV/c. Another implication of our overlap functions is that the Reggeized ρ-exchange form of the charge exchange amplitude is supplemented by small corrections. As will be shown in a succeeding paper, these account in a natural manner for the measured polarization in $ π^{-} $p → $ π^{0} $n. Also the $ π^{±} $p → $ π^{±} $p polarizations will be shown to be satisfactorily described in the present formalism. © Società Italiana di Fisica 1967 |
| abstractGer |
Summary In terms of overlap functions, a new kind of analysis of π elastic and charge exchange scattering data at high energies and small momentum transfers is given. The data analysed cover a range 6 GeV/c≾qL=pion laboratory momentum ≾18 GeV/c and 0≤−t=(centre-of-mass momentum transfer)2 ≾1 (GeV/c)2. The phenomenological expressions of the scattering amplitudes, including spin-flip, as they are obtained from experiment, are traced back to simple forms for the $ π^{±} $p overlap functions. The latter are interpreted in terms of different classes of inelastic $ π^{±} $p collisions, each contributing with a characteristic power ofs=(centre-of-mass energy)2 to the overlap functions. The dominant deviations from the genuine asymptotic situation (where $ π^{+} $p and $ π^{-} $p elastic scattering are expected to be identical) are attributed to the presence of «charge annihilation channels» among $ π^{-} $p inelastic transitions which have no counterpart among the $ π^{+} $p inelastic transitions. In this context the concepts of absorptive corrections and of a common interaction volume for both elastic and inelastic collisions are encountered within the overlap function framework. The actual simple forms we have adopted for the overlap functions imply that the charge exchange peak must remain somewhat broader than the elastic ones, so that in the case of constancy of the latter the observed shrinkage of the former is predicted to slow down and stop, or alternatively but less plausibly, elastic peaks have to start to shrink, the change occurring at an energy somewhat higher than the ones here studied and which is estimated to beqL≅26 GeV/c. Another implication of our overlap functions is that the Reggeized ρ-exchange form of the charge exchange amplitude is supplemented by small corrections. As will be shown in a succeeding paper, these account in a natural manner for the measured polarization in $ π^{-} $p → $ π^{0} $n. Also the $ π^{±} $p → $ π^{±} $p polarizations will be shown to be satisfactorily described in the present formalism. © Società Italiana di Fisica 1967 |
| abstract_unstemmed |
Summary In terms of overlap functions, a new kind of analysis of π elastic and charge exchange scattering data at high energies and small momentum transfers is given. The data analysed cover a range 6 GeV/c≾qL=pion laboratory momentum ≾18 GeV/c and 0≤−t=(centre-of-mass momentum transfer)2 ≾1 (GeV/c)2. The phenomenological expressions of the scattering amplitudes, including spin-flip, as they are obtained from experiment, are traced back to simple forms for the $ π^{±} $p overlap functions. The latter are interpreted in terms of different classes of inelastic $ π^{±} $p collisions, each contributing with a characteristic power ofs=(centre-of-mass energy)2 to the overlap functions. The dominant deviations from the genuine asymptotic situation (where $ π^{+} $p and $ π^{-} $p elastic scattering are expected to be identical) are attributed to the presence of «charge annihilation channels» among $ π^{-} $p inelastic transitions which have no counterpart among the $ π^{+} $p inelastic transitions. In this context the concepts of absorptive corrections and of a common interaction volume for both elastic and inelastic collisions are encountered within the overlap function framework. The actual simple forms we have adopted for the overlap functions imply that the charge exchange peak must remain somewhat broader than the elastic ones, so that in the case of constancy of the latter the observed shrinkage of the former is predicted to slow down and stop, or alternatively but less plausibly, elastic peaks have to start to shrink, the change occurring at an energy somewhat higher than the ones here studied and which is estimated to beqL≅26 GeV/c. Another implication of our overlap functions is that the Reggeized ρ-exchange form of the charge exchange amplitude is supplemented by small corrections. As will be shown in a succeeding paper, these account in a natural manner for the measured polarization in $ π^{-} $p → $ π^{0} $n. Also the $ π^{±} $p → $ π^{±} $p polarizations will be shown to be satisfactorily described in the present formalism. © Società Italiana di Fisica 1967 |
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Overlap function analysis of πWENA elastic and charge exchange scattering at high energies |
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