A determination of the pion-nucleon coupling constant from n-p scattering at 350 MeV

Ashmore, A.; Range, W.H.; Taylor, R. T.; Townes, B.M.; Castillejo, L.; Peierls, Rudolf

doi:10.1016/0029-5582(62)90451-0

Cited by 43 publications

(10 citation statements)

References 16 publications

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“…In 1958 Chew [15] pointed out that the real part of the n-p scattering amplitude should have a pole in the non-physical region at t -m n.-2 He suggested that the data from n-p scattering experiments (backward or forward scattering) could be extrapolated to the pion pole to determine the pion-nucleon coupling constant. Several groups [7,[16][17][18] performed this extrapolation at energies between 300 and 800 MeV and found values for the coupling constant which agreed with the values found from rr-N scattering. This result strongly suggested that onepion exchange contributed to n-p scattering at small angles.…”

Section: Summary Of Theoretical Worksupporting

confidence: 66%

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Neutron-proton charge-exchange scattering from 8 to 29 GeV/c

et al. 1975

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The differential cross sections for neutron-proton charge-exchange scattering have been measured for mcident neutron momenta between 8 and 29 GeV/c and for four-momentum transfers I tl between 0.002 and 1.0 (GeV/c) 2. A neutron beam with a broad momentum spectrum was scattered from a hquid hydrogen target. The momenta and scattering angles of the forward-scattered protons were measured by a spark-chamber magnet spectrometer. The flight times and scattering angles of the recoil neutrons were measured by a bank of thick scintillation counters. The effic~encles of the neutron counters were determined in a separate measurement. Absolute normalization of the data was obtained from a measurement of the diffracnon dissociation of neutrons from carbon nuclei. Differentml cross sections, based on-23 000 events, are presented for 9 different momenta. The shape of the differential cross sections and the momentum dependence are examined m detail. * We emphasize that even ff there is a significant momentum dependence in the diffraction dissoeiation cross section, it will have very tittle effect on our absolute normalization between 18 and 26 GeV/c, neat the peak in the neutron spectrum.

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Section: Summary Of Theoretical Worksupporting

confidence: 66%

“…Some of the early papers [ 17,19] had considered the interference of the pion pole term with a slowly varying background amplitude (chosen phenomenologically). This idea was further developed by including corrections for absorption effects caused by competing inelastic channels in the initial and final states.…”

Section: Summary Of Theoretical Workmentioning

confidence: 99%

Neutron-proton charge-exchange scattering from 8 to 29 GeV/c

et al. 1975

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“…(2. 6) In all the following examples AI and BI will denote the restriction of the function I to its values on t and on, respectively. Many other choices are, of course, possible; AI could denote, for example, the derivative!'…”

Section: Problem: Suppose That Fo Satisfiesmentioning

confidence: 99%

“…In Sec. 6 we point out the inflexibility of polynomial expansion methods, and in Sec. 7 we will try some conclusions.…”

Section: Introductionmentioning

confidence: 99%

On the necessity of nearly-best-possible methods for analytic continuation of scattering data

Miller

Viano

1973

Journal of Mathematical Physics

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In the present paper we discuss some mathematical methods which are nearly-best-possible in order to extract as much as possible information from the numerical analytic continuation of the scattering data. All the questions related to the stability are analyzed; in this sense we explicitly show some cases where the continuity of the solutions on the data is very poor. Finally the error-bounds are extensively explored.which is holomorphic in the domain n shown in Fig. la, a cut x plane, but where measurements for f 0 are possible only at data pOints in the segment r = [-1,1] (or [-a, b] in general) of the real axis, which segment is called the phYSical region. We let t, the data set, de-

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“…pn reaction, but these dierences are much less important when considering the Chew's function. The procedure suggested by Chew has been applied successfully in the past [17] [20] we describe a determination of f 2 c which relies on the extrapolation to the pole of our pp ! nn data.…”

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confidence: 99%

Manifestation of the pion pole in p → n charge-exchange scattering

Bradamante

Martin

1995

Physics Letters B

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A recent experiment at LEAR, the CERN Low Energy Antiproton Ring, has provided very precise dierential cross-section data for the pp ! nn chargeexchange reaction. When performing the extrapolation procedure to the pion pole originally proposed by G. F. Chew the data exhibit the same dynamical mechanism than the np ! pn line reversal reaction. The residue at the pole is consistent with the known value of the charged NN coupling constant, as expected from charge conjugation invariance.

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A determination of the pion-nucleon coupling constant from n-p scattering at 350 MeV

Cited by 43 publications

References 16 publications

Neutron-proton charge-exchange scattering from 8 to 29 GeV/c

Neutron-proton charge-exchange scattering from 8 to 29 GeV/c

On the necessity of nearly-best-possible methods for analytic continuation of scattering data

Manifestation of the pion pole in p → n charge-exchange scattering

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