Generalized heavy baryon chiral perturbation theory

Baur, Robert; Kambor, Joachim

doi:10.1007/s100529801024

Cited by 6 publications

(10 citation statements)

References 2 publications

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“…One may find detailed descriptions in Refs. [17,22]. Although the discussions are for the two-flavor case there, the results are the same as the present case.…”

Section: Acknowledgmentssupporting

confidence: 52%

“…In addition, a small mistake in the matrices R i would also break the C and h. c. invariance of D i,j in Eq. (22). It will generate confusing results, e,g.…”

Section: Resultsmentioning

confidence: 99%

“…This problem is cured in the heavy baryon chiral perturbation theory (HBChPT), where the large parameter m N is eliminated and an exact power counting rule exists. Although the expansion is convergent and the theory works well in the pion-nucleon system [15,[20][21][22], the convergence in the kaon-hyperon systems is slow or violated [23]. In the three-flavor meson-baryon scattering processes at threshold, several Weinberg-Tomozawa terms vanish and the O(p 4 ) calculation may answer whether the heavy baryon formalism still works or not in these channels.…”

Section: Introductionmentioning

confidence: 99%

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Meson-baryon effective chiral Lagrangians at orderp4

2017

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“…One may find detailed descriptions in Refs. [17,22]. Although the discussions are for the two-flavor case there, the results are the same as the present case.…”

Section: Acknowledgmentssupporting

confidence: 52%

“…In addition, a small mistake in the matrices R i would also break the C and h. c. invariance of D i,j in Eq. (22). It will generate confusing results, e,g.…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Meson-baryon effective chiral Lagrangians at orderp4

2017

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“…To construct these, we use the standard methods of non-linearly realized chiral symmetry. From the external sources, we construct the following building #6 After submission of this paper, another manuscript which also deals with this topic appeared [43].…”

Section: Effective Theory With Relativistic Nucleonsmentioning

confidence: 99%

Pion-nucleon scattering in chiral perturbation theory (I): Isospin-symmetric case

1998

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We construct the complete effective chiral pion-nucleon Lagrangian to third order in small momenta based on relativistic chiral perturbation theory. We then perform the so-called heavy baryon limit and construct all terms up-to-and-including order 1/m 2 with fixed and free coefficients. As an application, we discuss in detail pionnucleon scattering. In particular, we show that for this process and to third order, the 1/m expansion of the Born graphs calculated relativistically can be recovered exactly in the heavy baryon approach without any additional momentum-dependent wave function renormalization. We fit various empirical phase shifts for pion laboratory momenta between 50 and 100 MeV. This leads to a satisfactory description of the phase shifts up to momenta of about 200 MeV. We also predict the threshold parameters, which turn out to be in good agreement with the dispersive analysis. In particular, we can sharpen the prediction for the isovector S-wave scattering length, 0.083We also consider the subthreshold parameters and give a short comparison to other calculations of πN scattering in chiral perturbation theory or modifications thereof.

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“…They are similar to those given in Refs. [25] and [26]. For the different possible Clifford matrices we find explicitly…”

Section: Nucleon Sectormentioning

confidence: 87%

First moments of nucleon generalized parton distributions in chiral perturbation theory at full one-loop order

2014

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In this paper we present chiral extrapolation formulas for the generalized form factors connected to the first moments of chiral-even generalized parton distributions. For the description of QCD at low energies we employ the framework of two-flavor covariant baryon chiral perturbation theory at full one-loop accuracy. Our results are well suited for the extrapolation of lattice QCD data to physical quark masses.

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Generalized heavy baryon chiral perturbation theory

Cited by 6 publications

References 2 publications

Meson-baryon effective chiral Lagrangians at orderp4

Meson-baryon effective chiral Lagrangians at orderp4

Pion-nucleon scattering in chiral perturbation theory (I): Isospin-symmetric case

First moments of nucleon generalized parton distributions in chiral perturbation theory at full one-loop order

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