By John Dirk Walecka
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 solution and class, and summarizes current experimental electron scattering functions. just a operating wisdom of quantum mechanics and unique relativity is thought, making this an appropriate textbook for graduate and complicated undergraduate classes.
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Additional resources for Electron Scattering for Nuclear and Nucleon Structure
3) JM The eλ are now just ﬁxed vectors; they form a complete orthonormal set. e0 = k /k θ e2 φ e1 Fig. 1. Coordinate system with z-axis deﬁned by photon momentum. 4) As we shall see, the vector spherical harmonics project an irreducible tensor operator (ITO) of rank J from any vector density operator in the nuclear Hilbert space. A combination of Eqs. 7) Y 2J + 1 J,J−1,1 The diﬀerential operators just raise and lower the indices on the spherical Bessel functions, giving −kjJ+1 (kx) and kjJ−1 (kx), respectively.
This reaction produces a tagged hypernucleus. By varying the momentum transferred to the nucleus, the Fourier transform of the wave function of the deposited hyperon can be determined. Moreover, with multiple coincidence experiments such as (e, e 2N) and extreme kinematics, one can investigate the short-range behavior of two nucleons in the nuclear medium. At the quark level, when quarks are struck in an electroweak interaction, it is not the quarks that emerge from the nucleus, rather it is a hadron.
2. Intermediate state J π characterizes angular distribution of emitted particle X. Fig. 3. Basic nuclear coincidence process (e, e N). What one measures is again the Fourier transform of the transition matrix element of the electromagnetic current density between exact Heisenberg states of the target. The ﬁnal state now consists asymptotically of a target state |Ψp and an emitted particle X with four-momentum q; it is constructed with incoming wave boundary conditions. What can one learn about the structure of nuclei and nucleons from such experiments?