# zbMATH — the first resource for mathematics

Three-body calculation of total cross sections of the $$pd\to^3He\eta$$ reaction from chiral dynamics. (English) Zbl 1312.81134
Summary: In this work we have calculated the total cross section of $$pd\to^3He\eta$$ reaction using recent developments on few body systems involving mesons. We report on an approach to Faddeev equations using chiral dynamics, with the two-body and three-body forces. Within this approach, systems of mesons and baryons are studied. An effective field theory with hadrons and photons is constructed, where the hadronic parameters are determined by fitting available data. The total cross section data for different final momentum $$q$$ in the center of mass or excess energy is found in agreement with COSY-ANKE and the WASA-at-COSY experiments. at 59.8 MeV access energy the cross section is obtained to be 431 nb in comparison with ANKE experiment $$\sigma(59.4\pm 0.8 MeV)=(388.1\pm 7.1\pm 58.0)\,\mathrm{nb}$$. To obtain more accurate results, the calculations can be extended to higher order as well.
##### MSC:
 81V35 Nuclear physics 81U35 Inelastic and multichannel quantum scattering
Full Text:
##### References:
 [1] Berger, J; etal., No article title, Phys. Rev. Lett., 61, 919, (1988) [2] Mayer, B; etal., No article title, Phys. Rev., C53, 2068, (1996) [3] Smyrski, J; etal., No article title, Phys. Lett., B649, 258, (2007) [4] Mersmann, T; etal., No article title, Phys. Rev. Lett., 98, 242301, (2007) [5] Adam, H-H; etal., No article title, Phys. Rev. C, 75, 014004, (2007) [6] Betigeri, M; etal., No article title, Phys. Rev., C75, 014004, (2007) [7] Hibou, F; etal., No article title, Eur. Phys. J, A7, 537, (2000) [8] Bilger, R; etal., No article title, Phys. Rev., C69, 014003, (2004) [9] Piskor-Ignatowicz, C; etal., No article title, Int. J. Mod. Phys., A22, 528, (2007) [10] Moskal, P.: Few-Body Syst, online first [11] Rausmann, T; etal., No article title, Phys. Rev. C, 80, 017001, (2009) [12] Adlarson, P.: submitted to. arXiv:1402.3469 [13] Khemchandani, KP; Kelkar, NG; Jain, BK, No article title, Phys. Rev., C68, 064610, (2003) [14] Oset, E., et al. arXiv:1110.6827 [15] Goodarzi, M; Sadeghi, H, No article title, Int. J. of Theor. Phys., 53, 538, (2014) · Zbl 1284.81348 [16] Sadeghi, H., Goodarzi, M.: in publication [17] Sadeghi, H; Bayegan, S, No article title, Nucl. Phys. A, 753, 291, (2005) [18] Sadeghi, H; Bayegan, S; Griesshammer, HW, No article title, Phys. Lett. B, 263, 643, (2006) [19] Sadeghi, H, No article title, Phys. Rev. C, 75, 044002, (2007) [20] Sadeghi, H, No article title, Few Body Syst., 44, 149, (2008) [21] Sadeghi, H; Bayegan, S, No article title, Few Body Syst., 47, 167, (2010) [22] Sadeghi, H; Nezamdost, J, No article title, Prog. Theor. Phys., 124, 1037, (2010) · Zbl 1209.81218 [23] Epelbaum, E; etal., No article title, Phys. Rev. Lett., 86, 4787, (2001) [24] Wilkin, C; etal., No article title, Phys. Lett. B, 654, 92, (2007) [25] Beisert, N; Borasoy, B, No article title, Nucl. Phys. A, 716, 186, (2003) [26] Gasser, J; Leutwyler, H, No article title, Nucl. Phys., B250, 465, (1985) [27] Ecker, G; etal., No article title, Nucl. Phys., B591, 419, (2000) [28] Cirigliano, V; etal., No article title, Eur. Phys. J. C, 23, 121, (2002) [29] Sibirtsev, A; etal., No article title, Phys. Rev, C70, 047001, (2004)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.