Spin observables of proton-deuteron elastic scattering at SPD NICA energies within the Glauber model and pN amplitudes

Abstract

A systematic analysis of nucleon-nucleon scattering amplitudes is available up to a laboratory energy of 3 GeV in case of the pp system and up to 1.2 GeV for pn. At higher energies there is only incomplete experimental information on pp elastic scattering, whereas data for the pn system are very scarce. We apply the spin-dependent Glauber theory to calculate spin observables of pd elastic scattering at 3-50 GeV/c using pp amplitudes available in the literature and parametrized within the Regge formalism. The calculated vector A p y , A d y and tensor Axx, Ayy analyzing powers and the spin-correlation coefficients Cy,y, Cx,x, Cyy,y, Cxx,y can be measured at SPD NICA and, thus, will provide a test of the used pN amplitudes.

Possible studies at the first stage of the NICA collider operation with polarized and unpolarized proton and deuteron beams

“…Those for p lab = 45 GeV/c are given in Ref. [23]. The differential cross section of pp elastic scattering and the vector analyzing power A y are reproduced with these parameterizations on the same level of accuracy as in Ref.…”

“…At large −t corresponding to large scattering angles in the c.m.s. pN system (θ cm ≈ 90 • ), where the Regge model cannot be applied, very interesting features were observed in the double spin asymmetry A N N in the elastic pp scattering at laboratory momenta 0.0 0.5 1.0 1.5 -t (GeV/c) The results of calculations [23] based on the Regge model parameterizations from [16] are shown by the solid line (see details in Ref. [23]).…”

“…The spin-dependent Glauber theory [19,20] is applied recently [23] to calculate spin observables of pd elastic scattering at 3-50 GeV/c utilizing the pp elastic scattering amplitudes f pp established and parametrized in Ref. [16] within the Regge formalism.…”

“…This feature allows one to perform a test of broad set of pN amplitudes and applicability of the Regge model itself to pN elastic scattering. However, in view of the scarce experimental information about the spin-dependent pn amplitudes and taking into account that the spin-independent parts of the pp and pn amplitudes at high energies are approximately the same, it was assumed in [23] as a first approximation, that f pn = f pp . The amplitudes of pN elastic scattering are written as [19] M N (p, q; σ, σ…”

“…The spin observables A y , A ij , and C ij,k considered in the work [23] are defined in the notation of Ref. [28] as following…”