Properties of axion production in yu− collision are considered in detail using the the Feynman diagram method. The differential cross-sections are presented and numerical evaluations are given. Based on results obtained it was found that the cross sections depend strongly on the polarization factors of u− beams and are much larger than in axion production in ye- collision. In addition, some estimates for experimental conditions are derived from our results.
−1, P2 = or P1 = 1, P2 = −1 (line 2) then the DCS is bigger than in the case of unpolarization, for P1 = P2 = or P1 = P2 = −1 (line 4) In this case, the contribution of t-channel scattering is mainly in the collision process However, this contribution is very small (about 1012 times) compared with the contribution of the s-channel and u-channel when P1 = 1, P2 = −1 or P1 = −1, P2 = 135 Dao Thi Le Thuy and Le Nhu Thuc Figure The DCS as a function of cosθ Figure The TCS as a function of √ s From Figure 2, for P1 = P2 = (line 4) the TCS does not change In other cases, the TCS decrease, when the center of mass energy increases This means that we only need to consider the collision process γµ− in the low energy region and it is also favorable to the receivers of the axion in experiments Figure The TCS as a function of the polarization factor of µ− beam * When the evaluation of the total cross section depends on the polarization factor, we note that, P1 is the polarization factor of the beam of µ− in the initial state and P2 136 Properties of axion production in γµ− collision is the polarization factor of the beam of µ− in the finial state From figure (3), we can see that, the TCS gets the maximum value when the beams of µ− are fully polarized (P1 = −1, P2 = or P1 = 1, P2 = −1) This result is larger than the result of the collision process γe− by about 105 times In addition, the TCS is equal to zero when P1 = −1, P2 = −1 or P1 = 1, P2 = Conclusion In this paper, the properties of axion production in unpolarized and polarized γµ− collision are calculated in detail The results show that, the cross sections depend strongly on the polarization factors of µ− beams (P1 , P2 ) and scattering angle (θ) and they get a maximum value when the beams of µ− are fully polarized This value is larger than the production of axion in γe− collision by about 105 times However, the cross sections for axion production at high energy are very small, so that the direct production of dark matter particles is in general not expected to lead to easily observable signals in γµ− collision REFERENCES [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] S Aune, et al., 2009 New Micromegas detectors in the CAST experiment Nucl Instrum Meth A604, 15 K S Babu, I.Gogoladze and K.Wang, 2003 Stabilizing the axion by discrete gause symmetries Phys Lett B560, 214 C Hagmann, D Kinion, W Stoeffl, K van Bibber (LLNL, Livermore), E Daw, H Peng, L.J Rosenberg (MIT, LNS), J LaVeigne, P Sikivie, N.S Sullivan (Florida U.) et al., 1998 Results from a high sensitivity search for cosmic axions Phys Rev Lett 80, pp 2043-2046 J E Kim, 1984 A Common Scale for the Invisible Axion, Local SUSY GUTs and Saxino Decay Phys Lett B136 378 J E Kim, 1987 Light Pseudoscalars, Particle Physics and Cosmology Phys Rept., 150, H N Long, D.V.Soa and T.A.Tuan, 1995 Electromagnetic detection of axions Phys Lett B357, 469 H N Long and N.Q.Lan, 2003 Selfinteracting dark matter and Higgs bosons in the SU(3)(C) x SU(3)(L) x U(1)(N) model with right-handed neutrinos Europhys Lett 64, 571 R D Peccei and H.R.Quinn, 1977 CP Conservation in the Presence of Instantons Phys Rev Lett 38, 1440 H Primakoff, 1951 Photoproduction of neutral mesons in nuclear electric fields and the mean life of the neutral meson hys Rev 81, 899 P Sikivie, 1985 Detection Rates for ’Invisible’ Axion Searches Phys Rev D32, 2988 D V Soa, D T L Thuy, N H Thao and T D Tham, 2012 Radion production in gamma-electron collisions Mod Phys Lett A27, 1250126 G G Raffelt, 1990 Astrophysical methods to constrain axions and other novel particle phenomena Phys Rept 198, M S Turner, 1990 Windows on the Axion Phys Rept 197, 67 D T L.Thuy and L N Thuc, 2013 Axion production in unpolarized and polarized γe− collision Journal of Science of HNUE, Vol 58, No 5, p 11 137 ... evaluation of the total cross section depends on the polarization factor, we note that, P1 is the polarization factor of the beam of µ− in the initial state and P2 136 Properties of axion production in. .. result of the collision process γe− by about 105 times In addition, the TCS is equal to zero when P1 = −1, P2 = −1 or P1 = 1, P2 = Conclusion In this paper, the properties of axion production in. .. and H.R.Quinn, 1977 CP Conservation in the Presence of Instantons Phys Rev Lett 38, 1440 H Primakoff, 1951 Photoproduction of neutral mesons in nuclear electric fields and the mean life of the neutral