The Interaction of Pions with Nuclei

Koltun, Daniel S.

doi:10.1007/978-1-4757-9018-4_2

Cited by 92 publications

(17 citation statements)

References 201 publications

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“…where c s = a s + bs(t-~), s = 1, 2, 3, are isospin operators, and the coefficients as, b s are determined by nN phase shifts [25], the experimental values of which are summarized in [26]. a and T are the Pauli operators for spin and isospin of the nucleon, t is the pion isospin operator (t2= 2).…”

Section: Formalism Of the Glauber Calculationmentioning

confidence: 99%

Elastic and charge exchange scattering of pions on3He in the (3,3)-resonance region

Lohs

Mandelzweig

1977

Z Physik A

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The elastic scattering of pions from 3He and the single charge exchange reaction 3He (~-,rc~ are calculated in the energy domain of the (3,3)-resonance within the framework of Glauber's theory, including spin and isospin degrees of freedom in all orders. It is pointed out that, from the first minimum on, the differential cross section strongly depends on the parametrization of the rcN amplitude, especially on its continuation into the unphysical region of momentum transfer. Single and double spin flip contributions prove to be very important in the charge exchange reaction. Within a modified version of Glauber's formalism, directly using ~N phase shifts rather than amplitudes, the 3He charge exchange scattering is reexamined. Whereas the shape of the angle-integrated cross section as a function of pion energy is confirmed, the magnitude is still uncertain within a factor of 2.

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Section: Formalism Of the Glauber Calculationmentioning

confidence: 99%

Elastic and charge exchange scattering of pions on3He in the (3,3)-resonance region

Lohs

Mandelzweig

1977

Z Physik A

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“…The pion nucleon interaction density is taken to be the non relativistic reduction of the pseudovector interaction [1], which is H(i)=l/ f j 9 {iq~ vj q~j + ~ (P~Tj 9 ~tj + zj -rc~P~)} (2.12)…”

Section: Absorption Operatormentioning

confidence: 99%

“…It has been well known that the absorption of a bound negative pion most often leads to two nucleon emission because a large amount of energy is brought into the nucleus with very little momentum [1]. Since the two emitted nucleons have a large relative momentum, the relative motion of the nucleon pair at small distances plays a very important role in this process.…”

Section: Introductionmentioning

confidence: 99%

Two nucleon emission following bound pion absorption

Shimizu

Faessler

1978

Z Physik A

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The absorption of a bound 2p pion in 16 0 with the emission of two fast nucleons leading to low excitation of the residual nucleus has been studied. In our calculation, the following important effects have been considered simultaneously: (i) correlations in the initial nuclear wave function are treated on the basis of the Brueekner theory, (ii) the mutual final state scattering of the emitted pair and (iii) the nucleon-nucleus scattering are taken into account by the use of eikonal model wave function. Results are compared with other calculations and experiments. It is found that inspite of our elaborate treatments serious discrepancies between theory and experiments still remain. A more careful study of the absorption mechanism is emphasized.

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“…Thus, this investigation is done using the full Klein-Gordon (K-G) equation unlike all previous ones which were usually done within the framework of an approximate version of K-G equation. The earliest works on pion-nucleus interaction were done using very limited data summarized in [4] [5]. The low-energy pion-nucleus elastic scattering data available at that time were primarily limited to forward angles and analyzed within the framework of non-local Kisslinger [6], local Laplacian [7] and localequivalent of Kisslinger [8] potentials.…”

Section: Introductionmentioning

confidence: 99%

Analyses of <i>π</i><sup>±</sup> - 12C Elastic Scattering and Reaction Cross-Section Data Below, Atop and Above the Δ-Resonance

Shehadeh¹

2014

JMP

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The pion-nucleus elastic scattering and reaction cross-section data at incident energies below, atop and above the Δ-resonance are analyzed using the full Klein-Gordon equation using an optical potential. Analytic forms of the potential are determined using the inverse scattering theory in those cases where phase shift analyses were available. The Coulomb effect is incorporated using Stricker's prescription. Both elastic scattering data and the reaction cross sections between 120 and 400 MeV are well reproduced. Both real and imaginary parts of the potential are local. The potential points determined by the inverse scattering theory in the interior region at 230 MeV clearly establish that the real part is repulsive. This remains the case at higher incident energies. The real part turns repulsive above the resonance, whereas the imaginary part reflects the dominance of surface absorption, which is maximum near atop the Δ-resonance and then falling off at higher energies.

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The Interaction of Pions with Nuclei

Cited by 92 publications

References 201 publications

Elastic and charge exchange scattering of pions on3He in the (3,3)-resonance region

Elastic and charge exchange scattering of pions on3He in the (3,3)-resonance region

Two nucleon emission following bound pion absorption

Analyses of <i>π</i><sup>±</sup> - 12C Elastic Scattering and Reaction Cross-Section Data Below, Atop and Above the Δ-Resonance

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The Interaction of Pions with Nuclei

Cited by 92 publications

References 201 publications

Elastic and charge exchange scattering of pions on3He in the (3,3)-resonance region

Elastic and charge exchange scattering of pions on3He in the (3,3)-resonance region

Two nucleon emission following bound pion absorption

Analyses of &lt;i&gt;π&lt;/i&gt;&lt;sup&gt;&#177;&lt;/sup&gt; - 12C Elastic Scattering and Reaction Cross-Section Data Below, Atop and Above the Δ-Resonance

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Analyses of <i>π</i><sup>±</sup> - 12C Elastic Scattering and Reaction Cross-Section Data Below, Atop and Above the Δ-Resonance