Pion elastic and inelastic scattering on<i>s</i>-<i>d</i>shell nuclei in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>Δ</mml:mi></mml:mrow><mml:mrow><mml:mn>33</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>-resonance region. Coupled-channel analysis

Gmitro, M.; Kvasil, J.; Mach, R.

doi:10.1103/physrevc.31.1349

Cited by 32 publications

(21 citation statements)

References 32 publications

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“…Note that in general within the impulse approximation the effects from the motion of the nucleons has to be taken into account in the evaluation of the elementary t-matrix. However, numerous investigations [23][24][25][26] show that the substitution for the nucleon momentum p N → p ef f. = −(k − k ′ )/2 is a very good approximation. In the case of S-shell nuclei such approximation is even exact for the linear terms in p N .…”

Section: A Single Scattering (Impulse) Approximationmentioning

confidence: 99%

Chiral unitary approach to the –deuteron scattering length

2001

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Starting from a recent model where theKN amplitudes are evaluated from the chiral Lagrangians using a coupled channel unitary method, we evaluate here the scattering length for K − deuteron scattering. We find that the double scattering contribution is very large compared to the impulse approximation and that the charge exchange contribution of this rescattering is as large as the sequential K − scattering on the two nucleons. Higher order rescattering corrections are evaluated using coupled channels with K − andK 0 within the integral form of the fixed centre approximation to the Faddeev equations. The higher order corrections involving intermediate pions and hyperons are found negligible.

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Section: A Single Scattering (Impulse) Approximationmentioning

confidence: 99%

Chiral unitary approach to the –deuteron scattering length

2001

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“…(22). In the early work of Ericson and Ericson [1] the authors replaced the delta function b(r' -r~) in Eq.…”

Section: Cms Completionsmentioning

confidence: 96%

“…Correspondingly, the parametrization adopted in Eq. (22) refiects only the spin-isospin independent part of the full vrNN amplitude. In fact, this can be written in the more general form [50] f gg = (Bp+B,(o* cr~)+B2(r'.…”

Section: Cms Completionsmentioning

confidence: 99%

“…to pion-nucleon CMS frame (2-c.m. ) is performed by means of the following formulas [22]: For the pion-nucleon scattering matrix we take the parametrization 2x (qf It(e) Iq*) = --(fo(~) +~o ' [q' x qf] f~(e)) P fs(e) = aso + asst~, where t is the pion isospin operator, o and w stand for spin and isospin Pauli matrices of target nucleon, respectively, and as' = as'(cos8) (S = 0, 1; T = 0, 1) are usual combinations of the pion-nucleon partial amplitudes f&~&(qf, q, ; e) taken from Ref. [24].…”

Section: The Optical Modelmentioning

confidence: 99%

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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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“…Pion-nucleon relative momenta qs and qi and the twobody energy z were expressed in terms of pion-nucleus relative momenta Q' and Q and the reaction energy E in [7], where the parametrization of the scattering matrix t(z) can also be found.…”

Section: T'(e) = U(e) + U(e) G(e) T'(e)mentioning

confidence: 99%

Pions in nuclear interior — sensitive test by hypernuclear decay

Mach

Žofka

Itonaga

et al. 1988

Z. Physik A - Atomic Nuclei

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The effect of the pion wave distortion on the pi-mesonic weak decay of A-hyperon in hypernuclei is studied by using two different pion optical potentials, one by Gmitro, Kamalov and Mach, which is given in momentum space, and the other by MSU group, which is in the standard Kisslinger form. The two potentials lead to a striking difference in the pi-mesonic decay, reflecting different behaviors of the pion wavefunctions deep inside the nucleus.

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Pion elastic and inelastic scattering ons-dshell nuclei in theΔ33-resonance region. Coupled-channel analysis

Cited by 32 publications

References 32 publications

Chiral unitary approach to the –deuteron scattering length

Chiral unitary approach to the –deuteron scattering length

Influence of nuclear structure on the characteristics of light pionic atoms

Pions in nuclear interior — sensitive test by hypernuclear decay

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