Isospin mixing and Isospin mixing and parity-violating parity-violating electron scattering electron scattering O. Moreno O. Moreno , P. Sarriguren, , P. Sarriguren, E. Moya de Guerra and J. M. E. Moya de Guerra and J. M. Udías Udías (IEM-CSIC Madrid and UCM (IEM-CSIC Madrid and UCM Madrid) Madrid) T. W. Donnelly (M.I.T.), I. T. W. Donnelly (M.I.T.), I. Sick (Univ. Basel) Sick (Univ. Basel)
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Isospin mixing and parity- violating electron scattering O. Moreno, P. Sarriguren, E. Moya de Guerra and J. M. Udías (IEM-CSIC Madrid and UCM Madrid) T.
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Isospin mixing and parity-Isospin mixing and parity-violating electron scatteringviolating electron scattering
O. MorenoO. Moreno, P. Sarriguren, , P. Sarriguren,
E. Moya de Guerra and J. M. UdíasE. Moya de Guerra and J. M. Udías
(IEM-CSIC Madrid and UCM Madrid)(IEM-CSIC Madrid and UCM Madrid)
T. W. Donnelly (M.I.T.), I. Sick (Univ. T. W. Donnelly (M.I.T.), I. Sick (Univ. Basel)Basel)
IntroductionIntroduction
Theoretical frameworkTheoretical framework
ResultsResults
ConclusionsConclusions
Summary
Introduction: parity violation in electron scatteringIntroduction: parity violation in electron scattering
Theoretical formalism: Form factors in s.h.o. basisTheoretical formalism: Form factors in s.h.o. basis
Coulomb monopole matrix element between two s.h.o. states:
Spherical part of the density matrix in the s.h.o. basis:
And equivalently for WNC form factors but using GE, defined as:
Coulomb monopole operator matrix element:
HF: Axially deformed Hartree-Fock mean field using a Skyrme nucleon-nucleon effective interaction (SLy4).
BCS: pairing interactions treated within BCS approx. with fixed pairing gaps p,n=1 MeV. Occupations and number equation recomputed after each HF iteration.
Expansion coefficients in s.h.o. basis of the HF+BCS single particle state i:
Occupation probability of the HF+BCS single particle state i
Theoretical formalism: structure of nuclear targetTheoretical formalism: structure of nuclear target