Pion production in proton-nucleus (p+A) collisions outside the kinematical
boundary of proton-nucleon (p+N) reactions, the so-called cumulative effect, is
studied. Restrictions from energy-momentum conservation on the energy of pions
emitted in the backward direction in the target rest frame are analyzed. It is
assumed that the cumulative pions are produced in p+A reactions by heavy
baryonic resonances. The baryonic resonances are first created in p+N
reactions. Due to successive collisions with nuclear nucleons the masses of
these resonances may then increase and, simultaneously, their longitudinal
velocities decrease. We also use the Ultra relativistic Quantum Molecular
Dynamics model to reveal the key role of successive collisions of baryonic
resonances with nuclear nucleons for cumulative pion production in p+A
reactions. Further experimental studies of cumulative hadron production in p+A
reactions at high collision energies are needed to search for heavy hadron-like
objects and investigate their properties.Comment: 21 pages, 36 figure