The European Physical Journal A

, Volume 46, Issue 2, pp 249–269 | Cite as

Nucleon spin-polarisabilities from polarisation observables in low-energy deuteron Compton scattering

Regular Article - Theoretical Physics

Abstract.

We investigate the dependence of polarisation observables in elastic deuteron Compton scattering below the pion production threshold on the spin-independent and spin-dependent iso-scalar dipole polarisabilities of the nucleon. The calculation uses Chiral Effective Field Theory (\( \chi\) EFT) with dynamical \( \Delta\)(1232) degrees of freedom in the Small Scale Expansion (SSE) at next-to-leading order. Resummation of the NN intermediate rescattering states and including the \( \Delta\) induces sizeable effects. The analysis considers cross-sections and the analysing power of linearly polarised photons on an unpolarised target, and cross-section differences and asymmetries of linearly and circularly polarised beams on a vector-polarised deuteron. An intuitive argument helps one to identify kinematics in which one or several polarisabilities do not contribute. Some double-polarised observables are only sensitive to linear combinations of two of the spin-polarisabilities, simplifying a multipole analysis of the data. Spin-polarisabilities can be extracted at photon energies ≳ 100 MeV, after measurements at lower energies of \( \lesssim\) 70 MeV provide high-accuracy determinations of the spin-independent ones. An interactive Mathematica 7.0 notebook of our findings is available from hgrie@gwu.edu.

Keywords

Effective Field Theory Dipole Polarisabilities Polarisation Observable Deuteron Wave Function Pion Cloud 

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Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Center for Nuclear Studies, Department of PhysicsGeorge Washington UniversityWashingtonUSA
  2. 2.Department of Physics and AstronomyThe University of North CarolinaChapel HillUSA

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