Pion-Nucleon Interactions

Moorhouse, R. G.

doi:10.1146/annurev.ns.19.120169.001505

Cited by 42 publications

(3 citation statements)

References 57 publications

(86 reference statements)

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“…Considering the reaction in the ion-ion rest frame, in the plane wave (PW) limit, the momenta are fixed by Equation (26), from which we find immediately the following: Thus, in the PW limit, the intermediate s-channels have available the energies…”

Section: Discussionmentioning

confidence: 99%

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Theory of Majorana-Type Heavy Ion Double Charge Exchange Reactions by Pion–Nucleon Isotensor Interactions

Lenske,

Bellone,

Colonna

et al. 2024

Universe

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The theory of heavy ion double charge exchange (DCE) reactions proceeding by effective rank-2 isotensor interactions is presented. Virtual pion–nucleon charge exchange interactions are investigated as the source for induced isotensor interactions, giving rise to the Majorana DCE (MDCE) reaction mechanism. MDCE is of a generic character, proceeding through pairs of complementary (π±,π∓) reactions in the projectile and target nucleus. The dynamics of the elementary processes is discussed, where the excitation of pion–nucleon resonances are of central importance. Investigations of initial and final state ion–ion interactions show that these effects are acting as vertex renormalizations. In closure approximation, well justified by the finite pion mass, the second-order transition matrix elements reduce to pion potentials and effective two-body isotensor DCE interactions, giving rise also to two-body correlations in either of the participating nuclei. Connections to neutrinoless Majorana double beta decay (MDBD) are elucidated at various levels of the dynamics, from the underlying fundamental electro-weak and QCD scales to the physical scales of nuclear MDBD and MDCE physics. It is pointed out that heavy ion MDCE reactions may also proceed by competing electro-weak charge exchange processes, leading to lepton MDCE by electrons, positrons, and neutrinos.

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Section: Discussionmentioning

confidence: 99%

“…In the ion-ion rest frame and at the energies relevant for heavy ion MDCE reactions, the isovector pion-nucleon T-matrix T πN is described adequately by the operator structure [26,27] T πN (p,…”

Section: Theory Of Heavy Ion Mdce Reactionsmentioning

confidence: 99%

Theory of Majorana-Type Heavy Ion Double Charge Exchange Reactions by Pion–Nucleon Isotensor Interactions

Lenske,

Bellone,

Colonna

et al. 2024

Universe

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“…In the MDCE case they are determined by pion-nucleon dynamics which dynamically are completely different from NN-scattering. At the energies relevant for the MDCE process the (off-shell) isovector pion-nucleon T-matrix T πN is described adequately by the operator structure [14,15]…”

Section: The Isotensor Majorana Dce Mechanismmentioning

confidence: 99%

Formal theory of heavy ion double charge exchange reactions

Lenske,

Bellone,

Colonna

et al. 2024

EPJ Web Conf.

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The theory of heavy ion double charge exchange (DCE) reactions A(Z, N) → A(Z ± 2, N ∓ 2) is recapitulated emphasizing the role of Double Single Charge Exchange (DSCE) and pion-nucleon Majorana DCE (MDCE) reactions. DSCE reactions are of second–order distorted wave character, mediated by isovector nucleon-nucleon (NN) interactions. The DSCE response functions resemble the nuclear matrix elements (NME) of 2ν2β decay. The MDCE process proceeds by a dynamically generated effective rank-2 isotensor interaction, defined by off–shell pion–nucleon DCE scattering. In closure approximation pion potentials and two–nucleon correlations are obtained, similar to the neutrino potentials and the intranuclear exchange of Majorana neutrinos in 0ν2β Majorana double beta decay (MDBD).

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12 References

Höhler¹

1983

Pion Nucleon Scattering. Part 2: Methods and Results of Phenomenological Analyses

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Pion-Nucleon Interactions

Cited by 42 publications

References 57 publications

Theory of Majorana-Type Heavy Ion Double Charge Exchange Reactions by Pion–Nucleon Isotensor Interactions

Theory of Majorana-Type Heavy Ion Double Charge Exchange Reactions by Pion–Nucleon Isotensor Interactions

Formal theory of heavy ion double charge exchange reactions

12 References

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