The paper by Belyaev et al. [Phys. Rev. E 72, 026406 (2005)] reported the first experimental observation of alpha particles produced in the thermonuclear reaction 11 B(p, α) 8 Be induced by laser-irradiation on a 11 B polyethylene (CH2) composite target. The laser used in the experiment is characterized by a picosecond pulse duration and a peak of intensity of 2×10 18 W/cm 2 . We suggest that both the background-reduction method adopted in their detection system and the choice of the detection energy region of the reaction products are possibly inadequate. Consequently the total yield reported underestimates the true yield. Based on their observation, we give an estimation of the total yield to be higher than their conclusion, i.e., of the order of 10 5 α per shot. The observations of the thermonuclear reactions in a high-power laser pulse irradiated target is one of the hottest topics [1,2,3,4,5,6,7]. The most investigated reaction is D (d, n) 3 He with a Q-value of 3.26 MeV. There have been studies using different characteristics of lasers irradiation on a wide variety of targets, solid CD 2 plastic [2,5,6], D 2 -gas [4] and deuterium-clusters [1]. Since the reactions produce monochromatic neutrons, the spectroscopy of these neutrons gives important information on the ion acceleration mechanism in the laser-induced plasma.In the experiment recently carried out by a Russian group the yield of 10 3 α-particles has been reported [7], for the first time, in the laser-irradiation of a 11 B+CH 2 composite target. Their experiment is important for a deep understanding of the ion acceleration mechanism in the laser-matter interaction. The experiment has been carried out by using a "Neodymium" laser facility with the pulse energy of up to 15 J, a laser wave length of 1.055 µm, and a pulse duration of 1.5 ps. Before the main pulse, there are three pre-pulses with relative intensities 10 −4 , 10 −3 and 10 −8 , with ps durations for the former two and with 4 ns duration for the last one.The laser beam has been focused on the solid target at an oblique incidence of 40 degrees to the target normal. CR-39 track detectors covered with 11 and 22 µm thick aluminum foils have been used to count the yield of α-particles from the reaction 11 B(p, α) 8 Be. The reaction induces three-particles decay. Either through the 8 Be ground state (α 0 ):with the reaction Q-value = 8.59 MeV or through the 8 Be excited state (α 1 ):(2) * Electronic address: kimura@lns.infn.it; Also at Dipartimento di Fisica e Astronomia dell'Universita' di Catania, via Santa Sofia, 64, 95123 Catania, Italy with the reaction Q-value = 5.65 MeV and a large width of 1.5 MeV [8,9,10]. This is followed by the decay of the excited state (α 12 ):and a reaction Q-value = 3.028 MeV. It is known that the main channel of the reaction is the second [11,12] and only 1 % of the reaction products are α 0 from the reaction (1). Using energy and momentum conservation laws, the α 0 and α 1 have kinetic energies:where E is the center-of-mass incident energy in the case of the c...