Pion-deutron and pion-nucleus scattering — a review

Thomas, A. W.; Landau, Rubin H.

doi:10.1016/0370-1573(80)90024-1

Cited by 170 publications

(59 citation statements)

References 214 publications

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“…The determination of the pion deuteron scattering length from the elementary ones is one of the problems which has attracted much attention [7,8,9,10,11] in the past, but has also stimulated more recent studies [6,12,13,14,15,16]. In ref.…”

Section: Introductionmentioning

confidence: 99%

s-wave pion nucleon scattering lengths fromπN, pionic hydrogen, and deuteron data

2004

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The isoscalar and isovector scattering lengths (b0, b1) are determined using a unitarized coupled channel approach based on chiral Lagrangians. Using experimental values of pionic hydrogen and deuterium as well as low energy πN scattering data, the free parameters of the model are calculated. Isospin violation is incorporated to a certain extent by working with physical particle masses. For the deuterium scattering length a π − d new significant corrections concerning real and imaginary parts are evaluated, putting new constraints from π − d scattering on the values of (b0, b1). In particular, dispersion corrections, the influence of the ∆(1232) resonance, crossed terms and multiple scattering in a Faddeev approach are considered.

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Section: Introductionmentioning

confidence: 99%

s-wave pion nucleon scattering lengths fromπN, pionic hydrogen, and deuteron data

2004

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“…Such a model can be constructed by extending the usual two-nucleon Hamiltonian to include the Hamiltonian developed in the SL model. It is then straightforward to apply the well-established multiple scattering formulation [29][30][31] to derive formula for calculating the the current matrix elements < Ψ…”

Section: Calculations For the Deuteron Targetmentioning

confidence: 99%

“…By using the three-body approximation developed in Ref. [31], the invariant mass W c in Eq. (18) is calculated from the energy available to the π + N subsystem.…”

Section: A Impulse Termmentioning

confidence: 99%

“…The relation Eq. (26) between the two-body matrix elements in the laboratory frame and NN center of mass frame is commonly used in multiple scattering calculations [31] and is justified in an investigation of Ref. [41,42].…”

Section: B N N Final-state Interaction Termmentioning

confidence: 99%

“…By using the SL model and the high precision Bonn nucleon-nucleon potential [28] , we have developed a method for calculating the cross sections of incoherent electroweak pion production on the deuteron within the well-studied multiple scattering theories [29][30][31]. Our calculations include an impulse term and one-loop contributions from nucleon-nucleon (NN) and pion-nucleon (πN) final state interactions.…”

Section: Introductionmentioning

confidence: 99%

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Incoherent pion production in neutrino-deuteron interactions

Satô

Lee

2015

Phys. Rev. C

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Within the multiple scattering formulation, the incoherent pion production in neutrino-deuteron reactions at energies near the ∆(1232) resonance is investigated. The calculations include an impulse term and one-loop contributions from nucleon-nucleon (N N ) and pion-nucleon (πN ) final state interactions. The input amplitudes of πN scattering and electroweak pion production reaction on the nucleon are generated from a dynamical model which describes very extensive data of πN scattering and both the electromagnetic and the weak pion production reactions on the nucleon. The N N scattering amplitudes are generated from the Bonn potential. The validity of the calculational procedures is established by giving a reasonably good description of the data of pion photo-production on the deuteron. The constructed model is then applied to predict the cross sections of ν + d → µ − + π + + n + p and ν + d → µ − + π 0 + p + p reactions. The importance of including the N N final state interactions to understand the experimental data of these neutrinodeuteron reactions is demonstrated. Our results strongly suggest that the spectator approximation used in the previous analyses to extract the pion production cross sections on the nucleon from the data on the deuteron is not valid for the ν + d → µ − + π + + n + p, but is a good approximation for ν + d → µ − + π 0 + p + p.

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Quantum Field Theory Approach to the Pion‐Two‐Nucleon Interaction Problem

Kopaleishvili

1986

Fortschr. Phys.

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Recent development in the quantum field theory approach to a unified description of the pion‐deuteron and nucleon‐nucleon interaction processes is reviewed. The physical ground and the structure of the equations for such processes derived in the last few years in the literature are discussed. The non‐linear character of the equations under consideration is pointed out and the iteration procedure for their solution is suggested to avoid the non‐linearity.

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Pion-deutron and pion-nucleus scattering — a review

Cited by 170 publications

References 214 publications

s-wave pion nucleon scattering lengths fromπN, pionic hydrogen, and deuteron data

s-wave pion nucleon scattering lengths fromπN, pionic hydrogen, and deuteron data

Incoherent pion production in neutrino-deuteron interactions

Quantum Field Theory Approach to the Pion‐Two‐Nucleon Interaction Problem

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