Construction of a unitary analytic scattering amplitude (V). π+ p scattering
Starting from the 1974 Saclay phase-shift analysis, we construct π + p continuum ambiguities that leave unchanged the total cross section, the differential cross section, and the polarization. We find that most of the resonant structures are stable, but that alternative solutions are possible that l...
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| Published in | Nuclear physics. B Vol. 109; no. 2; pp. 322 - 346 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
01.01.1976
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| Online Access | Get full text |
| ISSN | 0550-3213 1873-1562 |
| DOI | 10.1016/0550-3213(76)90210-8 |
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| Abstract | Starting from the 1974 Saclay phase-shift analysis, we construct
π
+ p continuum ambiguities that leave unchanged the total cross section, the differential cross section, and the polarization. We find that most of the resonant structures are stable, but that alternative solutions are possible that lack the second S
31 or the G
39 resonances. The second P
33 resonance may be moved considerably, but not killed, while the mass and width of the three-star P
31 resonance are also subject to appreciable changes. We suggest that disagreements between different groups concerning the existence of weak resonances, or concerning the masses and widths of stronger ones, may be caused by the existence of the continuum ambiguity. |
|---|---|
| AbstractList | Starting from the 1974 Saclay phase-shift analysis, we construct
π
+ p continuum ambiguities that leave unchanged the total cross section, the differential cross section, and the polarization. We find that most of the resonant structures are stable, but that alternative solutions are possible that lack the second S
31 or the G
39 resonances. The second P
33 resonance may be moved considerably, but not killed, while the mass and width of the three-star P
31 resonance are also subject to appreciable changes. We suggest that disagreements between different groups concerning the existence of weak resonances, or concerning the masses and widths of stronger ones, may be caused by the existence of the continuum ambiguity. |
| Author | Atkinson, D. Heemskerk, A.C. Swierstra, S.D. |
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| Cites_doi | 10.1016/0370-2693(68)90516-9 10.1016/0550-3213(71)90244-6 10.1016/0550-3213(74)90307-1 10.1016/0550-3213(72)90425-7 10.1007/BFb0087227 10.1016/0550-3213(73)90591-9 10.1016/0550-3213(70)90485-2 10.1016/0550-3213(72)90539-1 10.1016/0550-3213(73)90027-8 10.1007/BF02732655 10.1016/0550-3213(71)90165-9 10.1088/0034-4885/36/6/002 10.1016/0550-3213(72)90620-7 10.1016/0550-3213(73)90623-8 10.1016/0550-3213(73)90314-3 |
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| References | Davies (BIB13) 1970; B21 Moorhouse, Donnachie (BIB3) 1973; 36 See also ref. [11]. Ayed, Bareyre, Lemoigne (BIB1) 1972 Almehed, Lovelace (BIB12) 1972; B40 H. Nielsen and G.C. Oades, Nucl. Phys. B49 (192) 573. Berends (BIB4) 1973; B64 E. Pietarinen, Karlsruhe preprint TKP 4/75 (BIB11) 1974; 50B Heemskerk (BIB16) 1975 Donnachie, Kirsopp, Lovelace (BIB5) 1968; 26B Langbein, Wagner (BIB7) 1973; B53 J.E. Bowcock and H. burkhardt, Rep. Prog. Phys. to appear, and references therein. Atkinson, Johnson, Kok, de Roo, de Roo (BIB15) 1974; B77 Barrelet (BIB6) 1972; 8A Alcock, Cottingham, Alcock, Cottingham (BIB8) 1971; B31 Nielsen (10.1016/0550-3213(76)90210-8_BIB14_2) 1971; B30 Atkinson (10.1016/0550-3213(76)90210-8_BIB2_2) 1973; B66 Barrelet (10.1016/0550-3213(76)90210-8_BIB6) 1972; 8A (10.1016/0550-3213(76)90210-8_BIB11_2) 1970 Heemskerk (10.1016/0550-3213(76)90210-8_BIB16) 1975 de Roo (10.1016/0550-3213(76)90210-8_BIB15_2) 1974 Alcock (10.1016/0550-3213(76)90210-8_BIB8_2) 1972; B41 10.1016/0550-3213(76)90210-8_BIB9 Berends (10.1016/0550-3213(76)90210-8_BIB4) 1973; B64 Atkinson (10.1016/0550-3213(76)90210-8_BIB15_1) 1974; B77 10.1016/0550-3213(76)90210-8_BIB14_3 Donnachie (10.1016/0550-3213(76)90210-8_BIB3_2) 1973; 36 Alcock (10.1016/0550-3213(76)90210-8_BIB8_1) 1971; B31 Almehed (10.1016/0550-3213(76)90210-8_BIB12) 1972; B40 Moorhouse (10.1016/0550-3213(76)90210-8_BIB3_1) 1973 Bugg (10.1016/0550-3213(76)90210-8_BIB14_1) 1973; B58 Langbein (10.1016/0550-3213(76)90210-8_BIB7) 1973; B53 10.1016/0550-3213(76)90210-8_BIB2_1 Donnachie (10.1016/0550-3213(76)90210-8_BIB5) 1968; 26B Hamilton (10.1016/0550-3213(76)90210-8_BIB10_2) 1975; vol. 1 10.1016/0550-3213(76)90210-8_BIB10_1 (10.1016/0550-3213(76)90210-8_BIB11_1) 1974; 50B Ayed (10.1016/0550-3213(76)90210-8_BIB1) 1972 Davies (10.1016/0550-3213(76)90210-8_BIB13) 1970; B21 |
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π
+ p continuum ambiguities that leave unchanged the total cross section, the differential... |
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| Title | Construction of a unitary analytic scattering amplitude (V). π+ p scattering |
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