2012/01/19 by B. Z. Kopeliovich, Iván Schmidt, Ivan Schmidt +2
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Computer science #Dipole #High-Energy Particle Collisions Research #Neutrino #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Production (economics) #Quantum mechanics #Relation (database) #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.85.073003
9 pages, 5 figures
arxiv created 2012/01/19 · openalex publication_date 2012/04/02 · arxiv updated 2013/05/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Effects of coherence in neutrino production of pions off nuclei are studied employing the color-dipole representation and path integral technique. If the nucleus remains intact, the process is controlled by the interplay of two length scales. One is related to the pion mass and is quite long (at low Q2), while the other, associated with heavy axial-vector states, is much shorter. The Adler relation is found to be broken at all energies, but especially strongly at \ensuremathν\ensuremath\gtrsim10 GeV, where the cross section is suppressed by a factor \ensuremath∼A^\ensuremath-1/3. On the contrary, in a process where the recoil nucleus breaks up into fragments, the Adler relation turns out to be strongly broken at low energies, where the cross section is enhanced by a factor \ensuremath∼A1/3, but has a reasonable accuracy at higher energies, where all the coherence length scales become long.