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Atomic Nuclear Physics

Concepts of Nuclear Physics by B. L. Cohen

By B. L. Cohen

This e-book makes an attempt to introduce atomic physics at a complicated undergraduate or postgraduate point in nuclear physics. It explains all elements of the nucleus, its constitution, its habit less than quite a few stipulations, and its impression on nature and on mankind. Experimental equipment of nuclear physics have additionally been dicussed.The booklet additionally discusses Nuclear Decay, Gammarary Emission, Nuclear Reactions and purposes of Nuclear Physics. quite a few difficulties and routines were incorporated to assist the certainty approach.

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As seen from Eq. 63, for calculation of the spectral PBs cross-section it is necessary to know the explicit form of the q and q0 functional dependence of Sii . 65) where N is the number of electrons in an atom. The approximate Eq. 65 can be obtained after a number of transformations, taking into account the explicit form of the electron density operator being an operator of shift in the momentum space and corresponding permutation relations. The physical meaning of two summands in Eq. 65 is transparent: the first summand describes processes with ionization of the atomic core, when a transferred momentum is large, in this case the contribution of bound electrons is incoherent and part of energy is carried away by a knocked-on electron.

Analyzing the initial relativistic expression, from which Eq. 31 follows, it can be said that the first summand in the square brackets in Eq. 31 arises from the sum over the positive part of the atomic electron spectrum and describes scattering of an electromagnetic field by the atomic electron current. The second summand in 28 2 Quantum-Electrodynamics Approach to Description of Bremsstrahlung. . Eq. 31 arises after folding of the sum over states of the negative energy spectrum and describes field scattering by the atomic electron charge.

In this range the compensation of a momentum transferred from an IP to an atom due to a photon momentum is possible. As the analysis shows, this is pffiffiffiffiffiffiffiffiffiffiffi pffiffiffiffiffiffiffiffiffiffi true only for small enough radiation angles: # pa =o % l=Ra ; Ra % pÀ1 a . This inequation follows from the condition of smallness of a momentum transferred to a target during Bs in comparison with an atomic momentum: o ð1 À v0 cosð#ÞÞ pa v0 . Thus in the frequency range of Eq. 57 PBs gains directionality, and in calculation of the process cross-section it is necessary to take into account a photon momentum.

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