Determination of S- and P-wave helicity amplitudes and non-unitary evolution of pion creation process pi(-)p -> pi(-)pi(+)n on polarized target
| dc.creator | Svec, Miloslav | |
| dc.date | 2007-09-14 | |
| dc.date.accessioned | 2026-07-07T08:29:36Z | |
| dc.date.available | 2026-07-07T08:29:36Z | |
| dc.description | We present the first model independent determination of S- and P-wave helicity amplitudes from CERN measurements of pi(-)p -> pi(-)pi(+)n on polarized target at small t and dipion masses 580-1080 MeV. The purely analytical determination of the helicity amplitudes is made possible by our finding analytical solution for relative phase omega_ij between S-wave amplitudes S_d and S_u of opposite transversity for each set of solutions for transversity amplitudes A_u(i), A_d(j),i,j=1,2. Of the six possible solutions for omega_ij only the solution with omega_ij=pi yields physical helicity amplitudes. Assigning rho^0(770) phase to the dominant P-wave helicity flip amplitude L_1(ij) necessitates a phase of the S-wave helicity flip amplitude S_1(ij) that is near to the rho^0(770) phase.These two amplitudes are consistent with rho^0(770)-f_0(980) mixing. The relative phases omega_ij=pi satisfy certain selfconsistency relation that must be satisfied in order for the four sets of solutions A_u(i),A_d(j),i,j=1,2 to be all physical solutions that can be identified with coevolution amplitudes describing the interaction of the pion creation process with a quantum environment. This test on phases omega_ij provides a new test of Kraus representation of the mixed final state density matrix. We show that the probabilities p_ij determining the final state rho_f in terms of solution states rho_f(ij) can be determined in measurements of recoil hyperon polarization in pi(-)p->pi(-)K(+)Lambda0 on polarized target. | |
| dc.description | 41 pages, 20 figures, 4 tables | |
| dc.identifier | https://arxiv.org/abs/0709.2219 | |
| dc.identifier | http://arxiv.org/abs/0709.2219 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137994 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Determination of S- and P-wave helicity amplitudes and non-unitary evolution of pion creation process pi(-)p -> pi(-)pi(+)n on polarized target | |
| dc.type | text |