Download e-book for kindle: Electron Scattering for Nuclear and Nucleon Structure by John Dirk Walecka

By John Dirk Walecka

ISBN-10: 0511018746

ISBN-13: 9780511018749

ISBN-10: 0521018390

ISBN-13: 9780521018395

ISBN-10: 0521780438

ISBN-13: 9780521780438

This ebook examines the inducement for electron scattering and develops the theoretical research of the method. It discusses our present theoretical knowing of the underlying constitution of nuclei and nucleons at applicable degrees of answer and class, and summarizes current experimental electron scattering services. just a operating wisdom of quantum mechanics and detailed relativity is thought, making this an appropriate textbook for graduate and complex undergraduate classes.

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Extra resources for Electron Scattering for Nuclear and Nucleon Structure (Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology)

Sample text

At sufficiently high energy loss there is production of the nucleon resonances with the characteristic k 2 dependence of the inelastic form factors. Since all the nucleon resonances lie above the pion production threshold, they have strong-interaction widths. While the ∆(1232) appears as a distinct isolated peak, the higher nucleon resonances, as with giant resonances in nuclei, present multiple broad overlapping structures. 5) In DIS something quite remarkable happens. 6) The fact that the structure functions become independent of k 2 indicates that the objects inside the nucleon from which one is scattering have no spatially extended structure, that is, one is scattering from point-like constituents.

27) Now apply this relation to the state vector |jm representing a particle with angular momentum j and z-component m, and let Jˆ z act on this eigenstate. 28) ˆ This is the desired result. The quantity e−iβ Jy |jm is a rotated eigenstate with angular momentum m along the new z -axis. The goal now is to rotate the nuclear state vector |Ji Mi quantized with respect to the photon axes into a nuclear state vector |Ψi (Ji Mi ) correctly quantized with respect to the indicated {x, y, z} coordinates.

Iβ)3 ˆ ˆ ˆ ˆ + [Jy , [Jy , [Jy , Jz ]]] + · · · 3! 25) One finds ˆ ˆ e−iβ Jy Jˆ z eiβ Jy β2 β3 = Jˆ z 1 − + · · · + Jˆ x β − + ··· 2! 3! 27) Now apply this relation to the state vector |jm representing a particle with angular momentum j and z-component m, and let Jˆ z act on this eigenstate. 28) ˆ This is the desired result. The quantity e−iβ Jy |jm is a rotated eigenstate with angular momentum m along the new z -axis. The goal now is to rotate the nuclear state vector |Ji Mi quantized with respect to the photon axes into a nuclear state vector |Ψi (Ji Mi ) correctly quantized with respect to the indicated {x, y, z} coordinates.

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Electron Scattering for Nuclear and Nucleon Structure (Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology) by John Dirk Walecka


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