New values of pion-nucleon scattering lengths and f2

Bugg, D.V.; Carter, A.A.; Carter, J.R.

doi:10.1016/0370-2693(73)90225-6

Cited by 146 publications

(49 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…where f and f * at the πNN and πN∆ vertices are 1.008 and 2.156 respectively [17]. q is the momentum transfer in the pion-nucleon rest frame.…”

Section: Formalismmentioning

confidence: 99%

Erratum: Elementary1H(p,p′π+
Kundu¹,
Jain²,
Santra³
2000
Phys. Rev. C
8
2
16
0
View full text Add to dashboard Cite

A detailed study of the elementary p(p,p ′ π + )n reaction is presented using the delta isobar model. In this model, in the first step one of the two protons in the initial state gets excited to ∆. This, in the second step, decays into a nucleon and a pion. For the pp→N∆ step the parametrized form of the DWBA t-matrix of Jain and Santra, which reproduces most of the available data on pp→n∆ ++ , is used. The cross-sections studied include the outgoing proton momentum spectra in coincidence with the pion, the outgoing pion momentum spectra and the integrated total cross-section. We find that all the calculated numbers are in good agreement with the corresponding measured cross sections. PACS number(s): 25.40.Ve, 13.75.-n, 25.55.-e 1

show abstract

“…where f and f * at the πNN and πN∆ vertices are 1.008 and 2.156 respectively [17]. q is the momentum transfer in the pion-nucleon rest frame.…”

Section: Formalismmentioning

confidence: 99%

Erratum: Elementary1H(p,p′π+
Kundu¹,
Jain²,
Santra³
2000
Phys. Rev. C
8
2
16
0
View full text Add to dashboard Cite

show abstract

“…During many years πN scattering determination through fixed-t dispersion relations was advocated as a precision tool, yielding initially f 2 c = 0.0790(10) [16], and later providing f 2 c = 0.0735 (15) [17] (see also [18] and references therein). The latest most accurate πN scattering determinations are: i) the one based on the GMO rule [19], g 2 c /(4π) = 14.11(20) ( f 2 c = 0.0783(11)); ii) the one using fixed-t dispersion relations, g 2 c /(4π) = 13.76(8) [20]; iii) the most recent one [21,22], based on πN scattering lengths, π − d scattering and the GMO sum rule, yielding g 2 c /(4π) = 13.69(12)(15) = 13.69 (19).…”

Section: Introductionmentioning

confidence: 99%

Precise determination of charge-dependent pion-nucleon-nucleon coupling constants

2017

View full text Add to dashboard Cite

We undertake a covariance error analysis of the pion-nucleon-nucleon coupling constants from the Granada-2013 np and pp database comprising a total of 6720 scattering data below LAB energy of 350 MeV. Assuming a unique pion-nucleon coupling constant in the One Pion Exchange potential above a boundary radius r c = 3fm we obtain f 2 = 0.0763(1). The effects of charge symmetry breaking on the 3 P 0 , 3 P 1 and 3 P 2 partial waves are analyzed and we find f 2 p = 0.0761(4), f 2 0 = 0.0790(9) and f 2 c = 0.0772(6) with a strong anti-correlation between f 2 c and f 2 0 . We successfully test normality for the residuals of the fit. Potential tails in terms of different boundary radii as well as chiral Two-Pion-Exchange contributions as sources of systematic uncertainty are also investigated.

show abstract

“…The Hamilton dispersion relation for the B + amplitude was used by Carter, Bugg and Carter [7] to extract the long-standing value of g 2 /4π=14.28. This is the value used in the Karlsruhe-Helsinki [8] and Carnegie-Mellon−Berkeley analyses [9] of the late 1970's.…”

Section: Introductionmentioning

confidence: 99%

Sensitivity to the Pion-Nucleon Coupling Constant in Partial-Wave Analyses of pN?pN, NN?NN, and ?N?pN

Arndt¹,

Strakovsky²,

Workman³

et al. 2000

Physica Scripta

View full text Add to dashboard Cite

We summarize results obtained in our studies of the pion-nucleon coupling constant. Several different techniques have been applied to πN and N N elastic-scattering data, and the existing database for single-pion photoproduction. The most reliable determination comes from πN elastic scattering. The sensitivity in this reaction was found to be greater, by at least a factor of 3, when compared with analyses of N N elastic scattering or single-pion photoproduction.PACS number: 13.75.Gx Typeset using REVT E X * e-mail: arndtra@said.phys.vt.edu 1 1. Introduction A number of groups have recently extracted the pion-nucleon coupling constant (g 2 /4π), mainly from analyses of πN and NN elastic scattering. In the πN case, results have been obtained via dispersion relations [1], through the fitted couplings of a tree-level model [2], and from the long-range part of a potential approach [3]. Values of g 2 /4π have been determined from the one-pion-exchange part of the NN interaction in fits [4,5] to either the "full" lowenergy database or restricted kinematic regions expected [6] to be more sensitive to this coupling.In order to determine which data are most sensitive to g 2 /4π, we map χ 2 versus g 2 /4π for a variety of energy-dependent partial-wave analyses. The parabolic "widths", near the resulting minima, are taken as a measure of the "uncertainty" in the determinations. In Section 2, we give results from our analysis of πN elastic scattering to T π =2.1 GeV. In Section 3, we discuss a number of global fits of NN elastic scattering data to T lab =400 MeV. In Section 4, we consider our current analysis of pion-photoproduction taken to E γ =500 MeV, as well as mappings extended to E γ =2 GeV. This reaction also shows a sensitivity to the value of g 2 /4π Finally, in Section 5, we give a summary of our conclusions.

show abstract

New values of pion-nucleon scattering lengths and f2

Cited by 146 publications

References 5 publications

Erratum: Elementary1H(p,p′π+
Kundu¹,
Jain²,
Santra³
2000
Phys. Rev. C
8
2
16
0
View full text Add to dashboard Cite

Erratum: Elementary1H(p,p′π+
Kundu¹,
Jain²,
Santra³
2000
Phys. Rev. C
8
2
16
0
View full text Add to dashboard Cite

Precise determination of charge-dependent pion-nucleon-nucleon coupling constants

Sensitivity to the Pion-Nucleon Coupling Constant in Partial-Wave Analyses of pN?pN, NN?NN, and ?N?pN

Contact Info

Product

Resources

About

New values of pion-nucleon scattering lengths and f2

Cited by 146 publications

References 5 publications

Erratum: Elementary1H(p,p′π+Kundu1, Jain2, Santra3 2000Phys. Rev. C82160View full textAdd to dashboardCite

Erratum: Elementary1H(p,p′π+Kundu1, Jain2, Santra3 2000Phys. Rev. C82160View full textAdd to dashboardCite

Precise determination of charge-dependent pion-nucleon-nucleon coupling constants

Sensitivity to the Pion-Nucleon Coupling Constant in Partial-Wave Analyses of pN?pN, NN?NN, and ?N?pN

Contact Info

Product

Resources

About

Erratum: Elementary1H(p,p′π+
Kundu¹,
Jain²,
Santra³
2000
Phys. Rev. C
8
2
16
0
View full text Add to dashboard Cite

Erratum: Elementary1H(p,p′π+
Kundu¹,
Jain²,
Santra³
2000
Phys. Rev. C
8
2
16
0
View full text Add to dashboard Cite