메뉴 건너뛰기




Volumn 71, Issue 7, 2005, Pages 1-31

Pion-pion scattering amplitude

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CHIRALITY; ENERGY; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; PHASE TRANSITION; PION;

EID: 18544367174     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.71.074016     Document Type: Article
Times cited : (161)

References (45)
  • 4
    • 3543111855 scopus 로고
    • N. N. Biswas et al., Phys. Rev. Lett. 18, 273 (1967) [π -π-, π+π-, and π0π-]; D. Cohen et al., Phys. Rev. D 7, 661 (1973) [π-π-]; W. J. Robertson, W. D. Walker, and J. L. Davis, Phys. Rev. D 7, 2554 (1973) [π+π-]; W. Hoogland et al., Nucl. Phys. B126, 109 (1977) [π-π-] ; J. Hanlon et al., Phys. Rev. Lett. 37, 967 (1976) [π+π -]; H. Abramowicz et al., Nucl. Phys. B166, 62 (1980) [π+π-]. These references cover the region between 1.35 and 16 GeV, and agree within errors in the regions where they overlap (with the exception of π-π- below 2.3 GeV, discussion in Ref. [5]).
    • (1967) Phys. Rev. Lett. , vol.18 , pp. 273
    • Biswas, N.N.1
  • 5
    • 0000864370 scopus 로고
    • N. N. Biswas et al., Phys. Rev. Lett. 18, 273 (1967) [π -π-, π+π-, and π0π-]; D. Cohen et al., Phys. Rev. D 7, 661 (1973) [π-π-]; W. J. Robertson, W. D. Walker, and J. L. Davis, Phys. Rev. D 7, 2554 (1973) [π+π-]; W. Hoogland et al., Nucl. Phys. B126, 109 (1977) [π-π-] ; J. Hanlon et al., Phys. Rev. Lett. 37, 967 (1976) [π+π -]; H. Abramowicz et al., Nucl. Phys. B166, 62 (1980) [π+π-]. These references cover the region between 1.35 and 16 GeV, and agree within errors in the regions where they overlap (with the exception of π-π- below 2.3 GeV, discussion in Ref. [5]).
    • (1973) Phys. Rev. D , vol.7 , pp. 661
    • Cohen, D.1
  • 6
    • 3543075555 scopus 로고
    • N. N. Biswas et al., Phys. Rev. Lett. 18, 273 (1967) [π -π-, π+π-, and π0π-]; D. Cohen et al., Phys. Rev. D 7, 661 (1973) [π-π-]; W. J. Robertson, W. D. Walker, and J. L. Davis, Phys. Rev. D 7, 2554 (1973) [π+π-]; W. Hoogland et al., Nucl. Phys. B126, 109 (1977) [π-π-] ; J. Hanlon et al., Phys. Rev. Lett. 37, 967 (1976) [π+π -]; H. Abramowicz et al., Nucl. Phys. B166, 62 (1980) [π+π-]. These references cover the region between 1.35 and 16 GeV, and agree within errors in the regions where they overlap (with the exception of π-π- below 2.3 GeV, discussion in Ref. [5]).
    • (1973) Phys. Rev. D , vol.7 , pp. 2554
    • Robertson, W.J.1    Walker, W.D.2    Davis, J.L.3
  • 7
    • 0008987302 scopus 로고
    • N. N. Biswas et al., Phys. Rev. Lett. 18, 273 (1967) [π -π-, π+π-, and π0π-]; D. Cohen et al., Phys. Rev. D 7, 661 (1973) [π-π-]; W. J. Robertson, W. D. Walker, and J. L. Davis, Phys. Rev. D 7, 2554 (1973) [π+π-]; W. Hoogland et al., Nucl. Phys. B126, 109 (1977) [π-π-] ; J. Hanlon et al., Phys. Rev. Lett. 37, 967 (1976) [π+π -]; H. Abramowicz et al., Nucl. Phys. B166, 62 (1980) [π+π-]. These references cover the region between 1.35 and 16 GeV, and agree within errors in the regions where they overlap (with the exception of π-π- below 2.3 GeV, discussion in Ref. [5]).
    • (1977) Nucl. Phys. , vol.B126 , pp. 109
    • Hoogland, W.1
  • 8
    • 3543107099 scopus 로고
    • N. N. Biswas et al., Phys. Rev. Lett. 18, 273 (1967) [π -π-, π+π-, and π0π-]; D. Cohen et al., Phys. Rev. D 7, 661 (1973) [π-π-]; W. J. Robertson, W. D. Walker, and J. L. Davis, Phys. Rev. D 7, 2554 (1973) [π+π-]; W. Hoogland et al., Nucl. Phys. B126, 109 (1977) [π-π-] ; J. Hanlon et al., Phys. Rev. Lett. 37, 967 (1976) [π+π -]; H. Abramowicz et al., Nucl. Phys. B166, 62 (1980) [π+π-]. These references cover the region between 1.35 and 16 GeV, and agree within errors in the regions where they overlap (with the exception of π-π- below 2.3 GeV, discussion in Ref. [5]).
    • (1976) Phys. Rev. Lett. , vol.37 , pp. 967
    • Hanlon, J.1
  • 9
    • 0002207311 scopus 로고
    • N. N. Biswas et al., Phys. Rev. Lett. 18, 273 (1967) [π -π-, π+π-, and π0π-]; D. Cohen et al., Phys. Rev. D 7, 661 (1973) [π-π-]; W. J. Robertson, W. D. Walker, and J. L. Davis, Phys. Rev. D 7, 2554 (1973) [π+π-]; W. Hoogland et al., Nucl. Phys. B126, 109 (1977) [π-π-] ; J. Hanlon et al., Phys. Rev. Lett. 37, 967 (1976) [π+π -]; H. Abramowicz et al., Nucl. Phys. B166, 62 (1980) [π+π-]. These references cover the region between 1.35 and 16 GeV, and agree within errors in the regions where they overlap (with the exception of π-π- below 2.3 GeV, discussion in Ref. [5]).
    • (1980) Nucl. Phys. B , vol.166 , pp. 62
    • Abramowicz, H.1
  • 12
    • 84927765978 scopus 로고    scopus 로고
    • F. J. Ynduráin, hep-ph/0310206
    • F. J. Ynduráin, hep-ph/0310206.
  • 14
    • 0037426751 scopus 로고    scopus 로고
    • S. Descotes, N. H. Fuchs, L. Girlanda, and J. Stern, Eur. Phys. J. C, 24, 469 (2002); R. Kamiński, L. Leśniak, and B. Loiseau, Phys. Lett. B 551, 241 (2003).
    • (2003) Phys. Lett. B , vol.551 , pp. 241
    • Kamiński, R.1    Leśniak, L.2    Loiseau, B.3
  • 15
    • 0036576890 scopus 로고    scopus 로고
    • J. F. de Trocóniz and F. J. Ynduráin, Phys. Rev. D 65, 093001 (2002); hep-ph/0402285 [Phys. Rev. D (to be published)]. When quoting numbers, we will quote from this last paper.
    • (2002) Phys. Rev. D , vol.65 , pp. 093001
    • De Trocóniz, J.F.1    Ynduráin, F.J.2
  • 16
    • 0036576890 scopus 로고    scopus 로고
    • hep-ph/0402285 (to be published)
    • J. F. de Trocóniz and F. J. Ynduráin, Phys. Rev. D 65, 093001 (2002); hep-ph/0402285 [Phys. Rev. D (to be published)]. When quoting numbers, we will quote from this last paper.
    • Phys. Rev. D
  • 18
    • 0009040090 scopus 로고    scopus 로고
    • The Cern-Munich experiments (ππ scattering). (a) B. Hyams, Nucl. Phys. B64, 134 (1973); G. Grayer et al., Nucl. Phys. B75, 189 (1974); see also the analysis of the same experimental data in P. Estabrooks and A. D. Martin, Nucl. Phys. B79, 301 (1974). (b) B. Hyams et al., Nucl. Phys. B100, 205 (1975). (c) R. Kamiński, L. Lesniak, and K. Rybicki, Z. Phys. C 74, 79 (1997); Eur. Phys. J. direct C 4, 4 (2002). ππ → K̄K scattering: (d) W. Wetzel et al., Nucl. Phys. B115, 208 (1976); V. A. Polychromatos et al., Phys. Rev. D 19, 1317 (1979); D. Cohen et al., Phys. Rev. D 22, 2595 (1980); E. Etkin et al., Phys. Rev. D 25, 1786 (1982).
    • (1973) Nucl. Phys. , vol.B64 , pp. 134
    • Hyams, B.1
  • 19
    • 0000348088 scopus 로고
    • The Cern-Munich experiments (ππ scattering). (a) B. Hyams, Nucl. Phys. B64, 134 (1973); G. Grayer et al., Nucl. Phys. B75, 189 (1974); see also the analysis of the same experimental data in P. Estabrooks and A. D. Martin, Nucl. Phys. B79, 301 (1974). (b) B. Hyams et al., Nucl. Phys. B100, 205 (1975). (c) R. Kamiński, L. Lesniak, and K. Rybicki, Z. Phys. C 74, 79 (1997); Eur. Phys. J. direct C 4, 4 (2002). ππ → K̄K scattering: (d) W. Wetzel et al., Nucl. Phys. B115, 208 (1976); V. A. Polychromatos et al., Phys. Rev. D 19, 1317 (1979); D. Cohen et al., Phys. Rev. D 22, 2595 (1980); E. Etkin et al., Phys. Rev. D 25, 1786 (1982).
    • (1974) Nucl. Phys. , vol.B75 , pp. 189
    • Grayer, G.1
  • 20
    • 33646615622 scopus 로고
    • The Cern-Munich experiments (ππ scattering). (a) B. Hyams, Nucl. Phys. B64, 134 (1973); G. Grayer et al., Nucl. Phys. B75, 189 (1974); see also the analysis of the same experimental data in P. Estabrooks and A. D. Martin, Nucl. Phys. B79, 301 (1974). (b) B. Hyams et al., Nucl. Phys. B100, 205 (1975). (c) R. Kamiński, L. Lesniak, and K. Rybicki, Z. Phys. C 74, 79 (1997); Eur. Phys. J. direct C 4, 4 (2002). ππ → K̄K scattering: (d) W. Wetzel et al., Nucl. Phys. B115, 208 (1976); V. A. Polychromatos et al., Phys. Rev. D 19, 1317 (1979); D. Cohen et al., Phys. Rev. D 22, 2595 (1980); E. Etkin et al., Phys. Rev. D 25, 1786 (1982).
    • (1974) Nucl. Phys. , vol.B79 , pp. 301
    • Estabrooks, P.1    Martin, A.D.2
  • 21
    • 11544354759 scopus 로고
    • The Cern-Munich experiments (ππ scattering). (a) B. Hyams, Nucl. Phys. B64, 134 (1973); G. Grayer et al., Nucl. Phys. B75, 189 (1974); see also the analysis of the same experimental data in P. Estabrooks and A. D. Martin, Nucl. Phys. B79, 301 (1974). (b) B. Hyams et al., Nucl. Phys. B100, 205 (1975). (c) R. Kamiński, L. Lesniak, and K. Rybicki, Z. Phys. C 74, 79 (1997); Eur. Phys. J. direct C 4, 4 (2002). ππ → K̄K scattering: (d) W. Wetzel et al., Nucl. Phys. B115, 208 (1976); V. A. Polychromatos et al., Phys. Rev. D 19, 1317 (1979); D. Cohen et al., Phys. Rev. D 22, 2595 (1980); E. Etkin et al., Phys. Rev. D 25, 1786 (1982).
    • (1975) Nucl. Phys. , vol.B100 , pp. 205
    • Hyams, B.1
  • 22
    • 0008997351 scopus 로고    scopus 로고
    • The Cern-Munich experiments (ππ scattering). (a) B. Hyams, Nucl. Phys. B64, 134 (1973); G. Grayer et al., Nucl. Phys. B75, 189 (1974); see also the analysis of the same experimental data in P. Estabrooks and A. D. Martin, Nucl. Phys. B79, 301 (1974). (b) B. Hyams et al., Nucl. Phys. B100, 205 (1975). (c) R. Kamiński, L. Lesniak, and K. Rybicki, Z. Phys. C 74, 79 (1997); Eur. Phys. J. direct C 4, 4 (2002). ππ → K̄K scattering: (d) W. Wetzel et al., Nucl. Phys. B115, 208 (1976); V. A. Polychromatos et al., Phys. Rev. D 19, 1317 (1979); D. Cohen et al., Phys. Rev. D 22, 2595 (1980); E. Etkin et al., Phys. Rev. D 25, 1786 (1982).
    • (1997) Z. Phys. C , vol.74 , pp. 79
    • Kamiński, R.1    Lesniak, L.2    Rybicki, K.3
  • 23
    • 0009040090 scopus 로고    scopus 로고
    • The Cern-Munich experiments (ππ scattering). (a) B. Hyams, Nucl. Phys. B64, 134 (1973); G. Grayer et al., Nucl. Phys. B75, 189 (1974); see also the analysis of the same experimental data in P. Estabrooks and A. D. Martin, Nucl. Phys. B79, 301 (1974). (b) B. Hyams et al., Nucl. Phys. B100, 205 (1975). (c) R. Kamiński, L. Lesniak, and K. Rybicki, Z. Phys. C 74, 79 (1997); Eur. Phys. J. direct C 4, 4 (2002). ππ → K̄K scattering: (d) W. Wetzel et al., Nucl. Phys. B115, 208 (1976); V. A. Polychromatos et al., Phys. Rev. D 19, 1317 (1979); D. Cohen et al., Phys. Rev. D 22, 2595 (1980); E. Etkin et al., Phys. Rev. D 25, 1786 (1982).
    • (2002) Eur. Phys. J. Direct C , vol.4 , pp. 4
  • 24
    • 0001645373 scopus 로고
    • The Cern-Munich experiments (ππ scattering). (a) B. Hyams, Nucl. Phys. B64, 134 (1973); G. Grayer et al., Nucl. Phys. B75, 189 (1974); see also the analysis of the same experimental data in P. Estabrooks and A. D. Martin, Nucl. Phys. B79, 301 (1974). (b) B. Hyams et al., Nucl. Phys. B100, 205 (1975). (c) R. Kamiński, L. Lesniak, and K. Rybicki, Z. Phys. C 74, 79 (1997); Eur. Phys. J. direct C 4, 4 (2002). ππ → K̄K scattering: (d) W. Wetzel et al., Nucl. Phys. B115, 208 (1976); V. A. Polychromatos et al., Phys. Rev. D 19, 1317 (1979); D. Cohen et al., Phys. Rev. D 22, 2595 (1980); E. Etkin et al., Phys. Rev. D 25, 1786 (1982).
    • (1976) Nucl. Phys. , vol.B115 , pp. 208
    • Wetzel, W.1
  • 25
    • 0001503935 scopus 로고
    • The Cern-Munich experiments (ππ scattering). (a) B. Hyams, Nucl. Phys. B64, 134 (1973); G. Grayer et al., Nucl. Phys. B75, 189 (1974); see also the analysis of the same experimental data in P. Estabrooks and A. D. Martin, Nucl. Phys. B79, 301 (1974). (b) B. Hyams et al., Nucl. Phys. B100, 205 (1975). (c) R. Kamiński, L. Lesniak, and K. Rybicki, Z. Phys. C 74, 79 (1997); Eur. Phys. J. direct C 4, 4 (2002). ππ → K̄K scattering: (d) W. Wetzel et al., Nucl. Phys. B115, 208 (1976); V. A. Polychromatos et al., Phys. Rev. D 19, 1317 (1979); D. Cohen et al., Phys. Rev. D 22, 2595 (1980); E. Etkin et al., Phys. Rev. D 25, 1786 (1982).
    • (1979) Phys. Rev. D , vol.19 , pp. 1317
    • Polychromatos, V.A.1
  • 26
    • 34548232723 scopus 로고
    • The Cern-Munich experiments (ππ scattering). (a) B. Hyams, Nucl. Phys. B64, 134 (1973); G. Grayer et al., Nucl. Phys. B75, 189 (1974); see also the analysis of the same experimental data in P. Estabrooks and A. D. Martin, Nucl. Phys. B79, 301 (1974). (b) B. Hyams et al., Nucl. Phys. B100, 205 (1975). (c) R. Kamiński, L. Lesniak, and K. Rybicki, Z. Phys. C 74, 79 (1997); Eur. Phys. J. direct C 4, 4 (2002). ππ → K̄K scattering: (d) W. Wetzel et al., Nucl. Phys. B115, 208 (1976); V. A. Polychromatos et al., Phys. Rev. D 19, 1317 (1979); D. Cohen et al., Phys. Rev. D 22, 2595 (1980); E. Etkin et al., Phys. Rev. D 25, 1786 (1982).
    • (1980) Phys. Rev. D , vol.22 , pp. 2595
    • Cohen, D.1
  • 27
    • 35949016267 scopus 로고
    • The Cern-Munich experiments (ππ scattering). (a) B. Hyams, Nucl. Phys. B64, 134 (1973); G. Grayer et al., Nucl. Phys. B75, 189 (1974); see also the analysis of the same experimental data in P. Estabrooks and A. D. Martin, Nucl. Phys. B79, 301 (1974). (b) B. Hyams et al., Nucl. Phys. B100, 205 (1975). (c) R. Kamiński, L. Lesniak, and K. Rybicki, Z. Phys. C 74, 79 (1997); Eur. Phys. J. direct C 4, 4 (2002). ππ → K̄K scattering: (d) W. Wetzel et al., Nucl. Phys. B115, 208 (1976); V. A. Polychromatos et al., Phys. Rev. D 19, 1317 (1979); D. Cohen et al., Phys. Rev. D 22, 2595 (1980); E. Etkin et al., Phys. Rev. D 25, 1786 (1982).
    • (1982) Phys. Rev. D , vol.25 , pp. 1786
    • Etkin, E.1
  • 28
    • 0000984064 scopus 로고
    • M. J. Losty et al., Nucl. Phys. B69, 185 (1974); W. Hoogland et al., Nucl. Phys. B126, 109 (1977); N. B. Durusoy et al., Phys. Lett. B 45, 517 (1973).
    • (1974) Nucl. Phys. , vol.B69 , pp. 185
    • Losty, M.J.1
  • 29
    • 0008987302 scopus 로고
    • M. J. Losty et al., Nucl. Phys. B69, 185 (1974); W. Hoogland et al., Nucl. Phys. B126, 109 (1977); N. B. Durusoy et al., Phys. Lett. B 45, 517 (1973).
    • (1977) Nucl. Phys. , vol.B126 , pp. 109
    • Hoogland, W.1
  • 30
    • 0000491224 scopus 로고
    • M. J. Losty et al., Nucl. Phys. B69, 185 (1974); W. Hoogland et al., Nucl. Phys. B126, 109 (1977); N. B. Durusoy et al., Phys. Lett. B 45, 517 (1973).
    • (1973) Phys. Lett. B , vol.45 , pp. 517
    • Durusoy, N.B.1
  • 31
    • 0001467247 scopus 로고
    • L. Rosselet et al., Phys. Rev. D 15, 574 (1977); S. Pislak et al., Phys. Rev. Lett. 87, 221801 (2001).
    • (1977) Phys. Rev. D , vol.15 , pp. 574
    • Rosselet, L.1
  • 32
    • 42749099665 scopus 로고    scopus 로고
    • L. Rosselet et al., Phys. Rev. D 15, 574 (1977); S. Pislak et al., Phys. Rev. Lett. 87, 221801 (2001).
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 221801
    • Pislak, S.1
  • 33
    • 84884347611 scopus 로고    scopus 로고
    • For the more recent determination, see A. Aloisio et al., Phys. Lett. B 538, 21 (2002); an older one is P. Pascual and F. J. Ynduráin, Nucl. Phys. B83, 362, (1974).
    • (2002) Phys. Lett. B , vol.538 , pp. 21
    • Aloisio, A.1
  • 34
    • 0345100942 scopus 로고
    • For the more recent determination, see A. Aloisio et al., Phys. Lett. B 538, 21 (2002); an older one is P. Pascual and F. J. Ynduráin, Nucl. Phys. B83, 362, (1974).
    • (1974) Nucl. Phys. , vol.B83 , pp. 362
    • Pascual, P.1    Ynduráin, F.J.2
  • 38
    • 0344238708 scopus 로고
    • W. Rarita et al., Phys. Rev. 165, 1615 (1968).
    • (1968) Phys. Rev. , vol.165 , pp. 1615
    • Rarita, W.1
  • 39
    • 0001797136 scopus 로고
    • C. D. Froggatt and J. L. Petersen, Nucl. Phys. B129, 89 (1977); F. P. Palou and F. J. Ynduráin, Nuovo Cimento 19A, 245 (1974).
    • (1977) Nucl. Phys. , vol.B129 , pp. 89
    • Froggatt, C.D.1    Petersen, J.L.2
  • 40
    • 51249188205 scopus 로고
    • C. D. Froggatt and J. L. Petersen, Nucl. Phys. B129, 89 (1977); F. P. Palou and F. J. Ynduráin, Nuovo Cimento 19A, 245 (1974).
    • (1974) Nuovo Cimento , vol.19 A , pp. 245
    • Palou, F.P.1    Ynduráin, F.J.2
  • 41
    • 4243572902 scopus 로고
    • D. Atkinson et al., Nucl. Phys. B7, 375 (1968); Nucl. Phys. B23, 397 ( 1970).
    • (1968) Nucl. Phys. , vol.B7 , pp. 375
    • Atkinson, D.1
  • 42
    • 33750534118 scopus 로고
    • D. Atkinson et al., Nucl. Phys. B7, 375 (1968); Nucl. Phys. B23, 397 ( 1970).
    • (1970) Nucl. Phys. , vol.B23 , pp. 397
  • 43
    • 3543115370 scopus 로고    scopus 로고
    • F. J. Ynduráin, Phys. Lett. B 578, 99 (2004); Phys. Lett. B 586, 439(E) (2004); hep-ph/0501104 [Phys. Lett. B (to be published)].
    • (2004) Phys. Lett. B , vol.578 , pp. 99
    • Ynduráin, F.J.1
  • 44
    • 1842611516 scopus 로고    scopus 로고
    • F. J. Ynduráin, Phys. Lett. B 578, 99 (2004); Phys. Lett. B 586, 439(E) (2004); hep-ph/0501104 [Phys. Lett. B (to be published)].
    • (2004) Phys. Lett. B , vol.586
  • 45
    • 3543115370 scopus 로고    scopus 로고
    • hep-ph/0501104 (to be published)
    • F. J. Ynduráin, Phys. Lett. B 578, 99 (2004); Phys. Lett. B 586, 439(E) (2004); hep-ph/0501104 [Phys. Lett. B (to be published)].
    • Phys. Lett. B


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.