ISSN:
1434-6052
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We point out that one finds in the literature two different results for the spin-orbit term in radiative transitions of hadrons. We analyze the problem and find that, besides the term usually quoted $$ - ie\omega (\sigma \times p) \cdot \varepsilon _\gamma /4m^2 \cong e[\nabla (V_v + V_s ) \times \sigma ] \cdot \varepsilon _\gamma /4m^2 $$ (V v ,V s are the Lorentz vector and scalar pieces of the binding potential and ω the photon energy), there is another term that gives as final resulte(∇V v ×σ)·ε γ/2m 2. We use for our proof two different approaches: the Foldy-Wouthuysen transformation, and the method of Brodsky and Primack based on a dipole formula. In hadrons, the electric field has two pieces, the photon radiation field, and a strong interaction piece, of order 1/e relative to the former. These two pieces are at the origin of the two spin-orbit terms at the order (v/c)3.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01559719
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