Journal of Physical Studies 23(1), Article 1102 [14 pages] (2019)
DOI: https://doi.org/10.30970/jps.23.1102

DEUTERON WAVE FUNCTION AND POLARIZATION CHARACTERISTICS OF A(d,d')X REACTION

V. I. Zhaba

Uzhgorod National University, Department of Theoretical Physics,
54, Voloshyna St., Uzhgorod, UA-88000, Ukraine
e-mail: viktorzh@meta.ua

Polarization observables of A(d,d$'$)X reactions have been calculated based on the obtained coefficients of the analytical form for the deuteron wave function in the coordinate representation for nucleon-nucleon Nijmegen group potentials (NijmI, NijmII, Nijm93, Reid93) and Argonne v18 potential. The calculated values of tensor $A_{yy}$ and vector $A_{y}$ analyzing powers have been compared with the experimental data at $t$- scaling for the inelastic scattering of deuterons on hydrogen, carbon and beryllium. The formalization of the description of polarization characteristics in the models of the plane-wave impulse approximation and $\omega $-meson exchange was used for the theoretical description. In the plane-wave impulse approximation, theoretical values of tensor-tensor $K_{yy}$ and vector-vector $K_{y}$ polarization transfers have been calculated, and in $\omega $-meson exchange model, vector and tensor polarization transfer coefficients have also been calculated. Within the framework of the $\omega$-meson exchange model, we also present the results of $A_{yy}$ for the Roper resonance and for the algebraic collective model. The obtained data for the polarization observables are additionally compared with the theoretical estimates for the other three potential models (Paris, CDBonn and MT). The agreement between the theoretical estimates of the analyzing powers and the experimental data in various areas of $t$-scaling is analyzed in detail, depending on the model used to describe the A(d,d$'$)X reaction and on the choice of the potential model. Subsequently, the resulting values $A_{yy}$, $K_{yy}$, $K_{y}$ can be used to find partial and spin-flip cross sections, as well for the description of the double differential cross section for known excitation energy spectra in $^{12}$C(d,d$'$) reaction.

PACS number(s): 13.40.Gp, 13.88.+e, 21.45.Bc, 03.65.Nk

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