Nucleon-nucleon scattering in a three dimensional approach

Fachruddin, Imam; Elster, Ch.; Glöckle, W.

doi:10.1103/physrevc.62.044002

Cited by 70 publications

(111 citation statements)

References 21 publications

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“…the three-dimensional approach of Ref. [21]. Secondly, if one decides to treat all partial waves for l, l ′ ≥ l crit in perturbation theory, that is, if one assumes that l crit is a large number, l crit ≫ 1, it is hard to argue why partial waves with l, l ′ = l crit − 1 should not be treated perturbatively as well.…”

Section: Regularization and Renormalization Of The Lippmann-schwimentioning

confidence: 99%

On the Renormalization of the One–Pion Exchange Potential and the Consistency of Weinberg’s Power Counting

Epelbaum

Meißner

2012

Few-Body Syst

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Nogga, Timmermans and van Kolck recently argued that Weinberg's power counting in the fewnucleon sector is inconsistent and requires modifications. Their argument is based on the observed cutoff dependence of the nucleon-nucleon scattering amplitude calculated by solving the LippmannSchwinger equation with the regularized one-pion exchange potential and the cutoff Λ varied in the range Λ = 2 . . . 20 fm −1 . In this paper we discuss the role the cutoff plays in the application of chiral effective field theory to the two-nucleon system and study carefully the cutoff-dependence of phase shifts and observables based on the one-pion exchange potential. We show that (i) there is no need to use the momentum-space cutoff larger than Λ ∼ 3 fm −1 ; (ii) the neutron-proton low-energy data show no evidence for an inconsistency of Weinberg's power counting.

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Section: Regularization and Renormalization Of The Lippmann-schwimentioning

confidence: 99%

On the Renormalization of the One–Pion Exchange Potential and the Consistency of Weinberg’s Power Counting

Epelbaum

Meißner

2012

Few-Body Syst

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“…It should be clear that the building blocks to the few-body calculations without angular momentum decoma e-mail: bayegan@khayam.ut.ac.ir position are two-body off-shell t-matrices, which depend on the magnitudes of the initial and final Jacobi momenta and the angle between them. Fachruddin et al have calculated the NN bound and scattering states in a 3D representation using the Bonn-B and the AV18 potentials [15]- [16]. Recently there has been efforts to do the same calculation using chiral potential [23].…”

Section: Introductionmentioning

confidence: 99%

Photodisintegration of³Hin a three dimensional faddeev approach

Bayegan

Shalchi

Hadizadeh

2010

EPJ Web of Conferences

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Abstract. An interaction of a photon with 3 H is invstigated based on a three dimensional Faddeev approach.In this approach the three-nucleon Faddeev equations with two-nucleon interactions are formulated with consideration of the magnitude of the vector Jacobi momenta and the angle between them with the inclusion of the spin-isospin quantum numbers, without employing a partial wave decomposition. In this formulation the two body t-matrices and triton wave function are calculated in the three dimensional approach using AV18 potential. In the first step we use the standard single nucleon current in this article.

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“…[1] to NN scattering. This would be an alternative to other threedimensional approach formulated in a momentum-helicity basis [4]. In addition we introduce a new set of spinmomentum operators different from the one used in Ref.…”

Section: Introductionmentioning

confidence: 99%

Treatment of Two Nucleons in Three Dimensions

Fachruddin

Elster

Golak

et al. 2010

EPJ Web of Conferences

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Abstract. We extend a new treatment proposed for two-nucleon (2N) and three-nucleon (3N) bound states to 2N scattering. This technique takes momentum vectors as variables, thus, avoiding partial wave decomposition, and handles spin operators analytically. We apply the general operator structure of a nucleon-nucleon (NN) potential to the NN T-matrix, which becomes a sum of six terms, each term being scalar products of spin operators and momentum vectors multiplied with scalar functions of vector momenta. Inserting this expansions of the NN force and T-matrix into the Lippmann-Schwinger equation allows to remove the spin dependence by taking traces and yields a set of six coupled equations for the scalar functions found in the expansion of the T-matrix.

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Nucleon-nucleon scattering in a three dimensional approach

Cited by 70 publications

References 21 publications

On the Renormalization of the One–Pion Exchange Potential and the Consistency of Weinberg’s Power Counting

On the Renormalization of the One–Pion Exchange Potential and the Consistency of Weinberg’s Power Counting

Photodisintegration of³Hin a three dimensional faddeev approach

Treatment of Two Nucleons in Three Dimensions

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Nucleon-nucleon scattering in a three dimensional approach

Cited by 70 publications

References 21 publications

On the Renormalization of the One–Pion Exchange Potential and the Consistency of Weinberg’s Power Counting

On the Renormalization of the One–Pion Exchange Potential and the Consistency of Weinberg’s Power Counting

Photodisintegration of3Hin a three dimensional faddeev approach

Treatment of Two Nucleons in Three Dimensions

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Product

Resources

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Photodisintegration of³Hin a three dimensional faddeev approach