Nuclear structure effects in pion-3He elastic scattering

Mach, R.

doi:10.1016/0375-9474(76)90487-5

Cited by 36 publications

(11 citation statements)

References 26 publications

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“…In the framework of such an approach the nonlocalities of the pion-nuclear interaction, off-shell extrapolations of pionnucleon scattering amplitudes, and exact treatment of Fermi motion have been taken into account [4,5]. In a further step the phenomenological p term has been added [6 -8] which is responsible for real pion absorption and second-order effects.…”

Section: Introductionmentioning

confidence: 99%

“…In this framework Landau [4] and Mach [5] studied the sensitivity of pion elastic scattering and single charge exchange (SCE) on sHe and H to the details of the nuclear wave function. While Mach used semiphenomenological wave functions, Landau extracted the four nuclear form factors required for the optical potential from the electromagnetic form factors of He and sH.…”

Section: Introductionmentioning

confidence: 99%

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Pion interaction with the trinucleon up to the eta production threshold

1993

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Pion elastic, charge exchange scattering and induced eta production on the trinucleon systems are investigated in a coupled-channels approach in momentum space with Fadeev wave functions. The channel $\pi N \rightarrow \eta N$ is included using an isobar model with S-, P-, and D-wave resonances. While the coherent reactions like $^3$He($\pi,\pi)^3$He can be reasonably well reproduced up to $T_{\pi}$=500 MeV, large discrepancies appear for the incoherent processes, $^3$He($\pi^-,\pi^0)^3$H and $^3$He($\pi^-,\eta)^3$H at backward angles and energies above $\Delta$-resonance. In the forward direction the $(\pi,\eta)$ calculations underestimate the experimental measurements very close to threshold but agreement with the data improves with increasing pion energy. Predictions are made for the asymmetries of the various reactions on polarized $^3$He.Comment: 40 pages, 12 figures (available from the authors), Mainz preprint MKPH-T-92-1

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Pion interaction with the trinucleon up to the eta production threshold

1993

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“…Here we follow Ref. [21] and analyze in detail the first-order optical potential describing the pion-nucleus strong interaction. Presuming the validity of closure and impulse approximations it can be obtained in the form…”

Section: The Optical Modelmentioning

confidence: 99%

Influence of nuclear structure on the characteristics of light pionic atoms

Ciepl

Mach

1994

Phys. Rev. C

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An extended version of the standard pion-nucleus optical potential is presented using the momentum-space formulation of the multiple scattering theory. This potential is used for studying the in6uence of nonlocal effects and nuclear structure on the characteristics of light pionic atoms. A method is suggested to treat the long-range two-nucleon correlations involved in the second-order optical potential. Particularly, the spin-orbital Fermi motion correction to the 6rst-order optical potential, the center-of-mass correlations, and the spin-isospin corrections to the second-order optical potential are discussed in some detail. The results are presented in comparison with the experimental data for the 1s and 2p levels of light pionic atoms up to Ca. PACS number(s): 25.80. -e, 36.10.Gv

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“…5-. 6) is a good approximat ian even for non- For on-mass and energy shell scattering and~o mould of course be identical, yet for historical reasons me now take the total energy of the nucleus and core as a mass plus binding energy (eigenvalue of kinetic plus potential energy). In the non-relativistic nucleon limit,~3 8 then has the familiar form,~5 E (k) + mN + k2/2Am~-p2/2(A-1)mN -P /2(E (k) + m ) -~E 'lt' N 8 (2.11) i.e.…”

Section: Theoretical Optical Potentialmentioning

confidence: 99%

“…The small maximum is caused by the spin flip contribution filling in the non-flip minimum due to a resonance in the elastic channel. 6 FIG. 10 to judge if we understand the basic physics and if so, to determine the avenues to proceed along towards more complete theories and towards more extensive or accurate experiments.…”

Section: Theoretical Optical Potentialmentioning

confidence: 99%

Improved optical-potential calculation of the elastic and charge-exchange scattering of intermediate-energy pions from the helium isotopes

Landau

1977

Phys. Rev. C

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The elastic scattering of intermediate energy pions from 'He and He and the single charge exchange scattering from 'He are calculated with a theoretical momentum space optical potential including spin, nucleon recoil, Fermi motion and binding, and a I.orentz invariant angle transformation. Realistic nuclear form factors and a m N T matrix with a finite range are employed. An examination is made of the n-'He and m-'He total and differential cross section data of several experimental groups and the possibility of extracting information on the magnetic moment form factor of 'He is investigated. Comparisons are made with the procedures and results of several theoretical groups to determine the relevant physical differences and the areas in need of improvement. NUCLEAR REACTIONS 'He(m',~'), 'He(n',~') elastic, 'He(~-, n')'He; E :=100-260 MeV; e(8) and o&o~, theoretical calculation, momentum space optical potential; binding, recoil, Fermi motion, angle transformation; compare data and other calculations.

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Nuclear structure effects in pion-3He elastic scattering

Cited by 36 publications

References 26 publications

Pion interaction with the trinucleon up to the eta production threshold

Pion interaction with the trinucleon up to the eta production threshold

Influence of nuclear structure on the characteristics of light pionic atoms

Improved optical-potential calculation of the elastic and charge-exchange scattering of intermediate-energy pions from the helium isotopes

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