Bootstraps and the Pion-Nucleon System

Abers, Ernest S.; Zemach, Charles

doi:10.1103/physrev.131.2305

Cited by 107 publications

(16 citation statements)

References 16 publications

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“…(1) with parametersᾱ,β,γ whose expression in terms of the S-wave and P-wave amplitudesS andP are similar to eqs. (2), (3) and (4). The only difference is that the analog of eqs.…”

mentioning

confidence: 99%

Strong Λπ phase shifts for CP violation in weak Ξ → Λπ decay

Lu¹,

Wise²,

Savage³

1994

Physics Letters B

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Strong interaction Λπ phase shifts relevant for the weak nonleptonic decay Ξ → Λπ are calculated using baryon chiral perturbation theory. We find in leading order that the S-wave phase shift vanishes and the J = 1 2 P-wave phase shift is −1.7 o . The small phase shifts imply that CP violation in this decay will be difficult to observe.Our results follow from chiral SU(2) L × SU(2) R symmetry.

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“…(1) with parametersᾱ,β,γ whose expression in terms of the S-wave and P-wave amplitudesS andP are similar to eqs. (2), (3) and (4). The only difference is that the analog of eqs.…”

mentioning

confidence: 99%

Strong Λπ phase shifts for CP violation in weak Ξ → Λπ decay

Lu¹,

Wise²,

Savage³

1994

Physics Letters B

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“…The experimental data available at present 7 From the beginning, we have anticipated that a small amount of the A/=f amplitudes may be contained in the physical amplitudes. If we consider the present approximation that the continuation of the pion mass from zero to /* is entirely neglected, the numerical agreement with the accuracy of about 15% in amplitudes should be regarded to be a support for our discussions.…”

Section: Rates Of K 2ir and K Zirmentioning

confidence: 99%

Partially Conserved Axial-Vector Current and the NonleptonicK-Meson Decays

Suzuki

1966

Phys. Rev.

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Current commutation relations and a partially conserved axial-vector current hypothesis (PCAC) are applied to the nonleptonic K decays. On the assumption that the effective weak interactions should have the transformation property suggested by Gell-Mann in the quark model of the chiral symmetry, and that the axial-vector isospin charges to which the pions are related through PCAC should be generators of U(2)XU(2), the K^ and the Kz v decay amplitudes, in which the four-momenta of all the final pions are continued to zero, are proved to obey the AJ=| rule. In the approximation of neglecting the continuation, the decay rate of the Kz v is related to that of the K% v . The ratio of the decay rates is estimated and a reasonable agreement with experiment is obtained. Only the charge independence is assumed for the strong interactions.

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“…However, they cautioned from taking their calculations too seriously and concluding from them the elementarity of the nucleon. Some authors [1,2,4,10] have succeeded in obtaining the bound state but without getting even the correct sign for the S-wave scattering length. Thus the fundamental question of whether the nucleon is composite or elementary has not been settled in the literature.…”

Section: Introductionmentioning

confidence: 96%

“…There has been considerable interest in the $11-/]11 amplitude of ~N scattering in the last twelve years [1][2][3][4][5][6][7][8][9][10]. One would like to calculate this amplitude by means of a single-channel N/D calculation in which the input long-range forces are given by the usual N, p, and N33 first-order exchange diagrams.…”

Section: Introductionmentioning

confidence: 99%

TheS 11-P 11 phase shifts of pion-nucleon scattering

Barron

Daboul

1975

Z Physik A

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Abstract. The $11 and PH partial amplitude is calculated using the N/D method. The present calculation differs from the previous ones in the handling of the divergent behavior of the forces due to first-order diagrams, by parameterizing the short-range forces, and in the way of including inelasticity. We obtain the nucleon as a bound state with correct mass and residue and the correct Six and P~ scattering lengths. The calculated S-wave and P-wave phase shifts and absorption coefficients are in substantial agreement with those from the CERN Theoretical and Almehed-Lovelace phase shift analyses.

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Bootstraps and the Pion-Nucleon System

Cited by 107 publications

References 16 publications

Strong Λπ phase shifts for CP violation in weak Ξ → Λπ decay

Strong Λπ phase shifts for CP violation in weak Ξ → Λπ decay

Partially Conserved Axial-Vector Current and the NonleptonicK-Meson Decays

TheS 11-P 11 phase shifts of pion-nucleon scattering

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