Acta Physica Polonica B

Vol. 38, No. 6, June 2007, page 2143


Lorentz Boosted Nucleon--Nucleon Potential Applied to the \vec3He ({\vec e},e' p)pn and \vec3He ({\vec e},e' n)pp Reactions

J. Golak, R. Skibinski, H. Witala, W. Gloeckle, A. Nogga, H. Kamada

We formulate an approximate relativistic framework for an analysis of the \vec 3He ({\vec e},e' p)pn and \vec 3He ({\vec e},e' n)pp reactions. Restricting the rescattering series to one term linear in the two-nucleon (2N) t-matrix we incorporate various relativistic features when calculating a nuclear current matrix element. These relativistic ingredients encompass the relativistic 3He wave function based on the concept of the Lorentz boosted nucleon--nucleon potential together with the boosted (2N) t-matrix, relativistic kinematics and relativistic single-nucleon current operator. This allows us to estimate the magnitude of certain relativistic effects not included in the standard nonrelativistic approach. A more complete inclusion of relativity would require that the current operator obeys the covariance equations and the final three-nucleon (3N) scattering state with complete final state interactions (FSI) should be properly boosted. We provide some discussion on those issues.

PACS numbers: 21.45.+v, 21.10.Jv, 24.70.+s, 25.10.+s



 
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