Pion-Nucleus Interactions

Gibbs, W. R.; Gibson, B. F.

doi:10.1146/annurev.ns.37.120187.002211

Cited by 31 publications

(13 citation statements)

References 120 publications

(161 reference statements)

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“…We should stress that, after computing the nuclear matrix elements M p,n the data provide constraints on the quantity Q of Eq. (33). For the ground state to ground state transitions in spherically symmetric nuclei the following integral representation is valid M p,n = 4π j 0 (p e r)Φ µ (r)ρ p,n (r)r 2 dr…”

Section: The Effective µ − E Conversion Lagrangianmentioning

confidence: 99%

“…The results of M p and M n for the currently interesting nuclei Al, T i and P b are shown in Table 2. They have been calculated using proton densities ρ p from the electron scattering data [32] and neutron densities ρ n from the analysis of pionic atom data [33]. We employed an analytic form for the muon wave function Φ µ (r) obtained by solving the Schrödinger equation using the Coulomb potential produced by the charge densities discussed above.…”

Section: The Effective µ − E Conversion Lagrangianmentioning

confidence: 99%

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Exotic μ−−e− conversion in nuclei and R-parity violating supersymmetry

et al. 2000

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The flavor violating µ − − e − conversion in nuclei is studied within the minimal supersymmetric standard model. We focus on the R-parity violating contributions at tree level including the trilinear and the bilinear terms in the superpotential as well as in the soft supersymmetry breaking sector. The nucleon and nuclear structure have consistently been taken into account in the expression of the µ − − e − conversion branching ratio constructed in this framework. We have found that the contribution of the strange quark sea of the nucleon is comparable with that of the valence quarks. From the available experimental data on µ − − e − conversion in 48 Ti and 208 Pb and the expected sensitivity of the MECO experiment for 27 Al we have extracted new stringent limits on the R-parity violating parameters.

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Section: The Effective µ − E Conversion Lagrangianmentioning

confidence: 99%

Section: The Effective µ − E Conversion Lagrangianmentioning

confidence: 99%

Exotic μ−−e− conversion in nuclei and R-parity violating supersymmetry

et al. 2000

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“…During the 45 years after its discovery the pion double charge exchange reaction has generated a significant amount of theoretical and experimental work. Progress in the theoretical and experimental studies of the DCX reactions has been reflected in review papers of Backer and Batusov [3] in 1971, Jibuti and Kezerashvili [4] in 1985, Gibbs and Gibson [5] in 1987, Clement [6] in 1992, and Johnson and Morris [7] in 1993.…”

Section: Introductionmentioning

confidence: 99%

Pion double charge exchange in a composite-meson model

Kezerashvili¹,

Boyko

2007

Phys. Rev. C

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The pion double charge exchange amplitude is evaluated in a composite-meson model based on the four-quark interaction. The model assumes that the mesons are two-quark systems and can interact with each other only through quark loops. To evaluate the meson exchange current contribution, the form factors of the two-pion decay modes of the ρ, σ , and f 0 mesons have been used in the calculations. The contribution of the four-quark box diagram has been taken into account as well as a contact diagram. The contributions of the ρ, σ , and f 0 mesons increase the forward scattering cross section, which depends weakly on the energy.

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“…For the currently interesting nuclei Al, T i and P b the results for M p and M n are shown in Table 1. They have been calculated using proton densities ρ p from the electron scattering data [21] and neutron densities ρ n from the analysis of pionic atom data [22]. We have employed an analytical form for the muon wave function obtained by solving the Schrödinger equation using the Coulomb potential produced by the charge densities discussed before.…”

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confidence: 99%

Lepton flavor violation: Constraints from the exotic μ−-eμ− conversion

Kosmas¹,

Kovalenko²

2000

Phys. Atom. Nuclei

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The exotic neutrinoless µ − − e − nuclear conversion is studied within the conventional extensions of the standard model as well as in the minimal supersymmetric (SUSY) models with and without R-parity conservation. The dependence of the µ − e conversion rates on the nucleon and nuclear structure is consistently taken into account. Using our calculated transition matrix elements and the available experimental data on the branching ratio R µe − for 48 Ti and 208 Pb as well as the expected experimental sensitivity for 27 Al employed as a target in the planned at Brookhaven µ − − e − conversion (MECO) experiment, we extract very severe constraints for the flavor violation parameters. We especially emphasize on the constraints resulting for SUSY R-parity violating parameters.

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Pion-Nucleus Interactions

Cited by 31 publications

References 120 publications

Exotic μ−−e− conversion in nuclei and R-parity violating supersymmetry

Exotic μ−−e− conversion in nuclei and R-parity violating supersymmetry

Pion double charge exchange in a composite-meson model

Lepton flavor violation: Constraints from the exotic μ−-eμ− conversion

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