Abstract:Results for recoil nucleon induced polarization for (e, e ′ p) are presented using various approximations for the relativistic nucleonic current, at the kinematics of a recent experiment at Bates. We see that the dynamical relativistic effects improve the agreement with the data. We make predictions for the induced normal polarization and responses for TJNAF 89-033 and Mainz A1/2-93 experiments.
“…Here, the sign of the missing momentum is positive if the component of the missing-momentum vector along the momentum-transfer direction is positive. The individual polarization-transfer coefficients from the 4 He( e, e ′ p ) 3 H normalized to the 1 H( e, e ′ p ) reaction, (P ′ x ) He /(P ′ x ) H and (P ′ z ) He /(P ′ z ) H , and the double ratio R is shown along with acceptance-corrected calculations from the Madrid group [23,24]. Here, R is defined as:…”
“…Here, the sign of the missing momentum is positive if the component of the missing-momentum vector along the momentum-transfer direction is positive. The individual polarization-transfer coefficients from the 4 He( e, e ′ p ) 3 H normalized to the 1 H( e, e ′ p ) reaction, (P ′ x ) He /(P ′ x ) H and (P ′ z ) He /(P ′ z ) H , and the double ratio R is shown along with acceptance-corrected calculations from the Madrid group [23,24]. Here, R is defined as:…”
“…This polarization dependence was analyzed within the context of the aforementioned semi-classical picture of the nucleon orbit. One of the goals of this section is to show the connections of the polarized nucleus case (i.e., polarization of the initial state) with the case of nucleon recoil polarization (final state) and with what sometimes has been called the "Maris effect" in the literature [1,3,10]. We are interested in emphasizing the differences between the two reactions with respect to the physical information that can be obtained, and the advantages of one over the other from the theoretical point of view.…”
Section: Cross Section and Semi-classical Picturementioning
confidence: 99%
“…In recent years the study of recoil polarization observables in (e, e ′ p) and ( e, e ′ p) reactions has attracted attention both from the experimental [1,2] and theoretical [3,4,5,6,7,8,9,10,11,12] points of view. In particular, many of the latest studies have been focused on the polarization transfer asymmetry in reactions initiated by polarized electrons [13,14,15,16].…”
A study of the total cross section for polarized proton knockout in (e, e ′ p) reactions is carried out for the closed-shell nucleus 40 Ca. The dependence of FSI effects on polarization observables viewed as functions of the nucleon polarization angles is analyzed and interpreted within the basis of a semi-classical model for the orbit of the struck nucleon and trajectory of the ejected nucleon. A comparison with the case of a 39 K polarized target and unpolarized protons is performed.
“…Since these hidden channels can be excited by virtual photon absorption, a consistent treatment of the reaction requires that an effective current operator be used in place of the simple one-body current. The first source of current non-conservation has been addressed by studying the effect of various on-shell equivalent forms of the single-nucleon current on the optical model calculations [1,6,12,16]. This gives some rough indication of the size of violation of current conservation, but does not really address the underlying problem.…”
Section: Introductionmentioning
confidence: 99%
“…Dirac optical models are widely used in analyzing electron scattering data for (e, e ′ ) and (e, e ′ p) reactions [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24].…”
A simple model of a relativistic optical model is constructed by reducing the three-body BetheSalpeter equation to an effective two-body optical model. A corresponding effective current is derived for use with the optical-model wave functions. It is shown that this current satisfies a Ward-Takahashi identity involving the optical potential which results in conserved current matrix elements.
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