Publication:
Neutral current quasielastic (anti)neutrino scattering beyond the Fermi gas model at MiniBooNE and BNL kinematics

Research Projects
Organizational Units
Journal Issue
Abstract
Neutral current quasielastic ( anti) neutrino scattering cross sections on a C-12 target are analyzed using a realistic spectral function S( p, E) that gives a scaling function in accordance with the ( e, e') scattering data. The spectral function accounts for the nucleon- nucleon ( NN) correlations by using natural orbitals from the Jastrow correlation method and has a realistic energy dependence. The standard value of the axial mass MA = 1.032 GeV is used in all calculations. The effect of the final- state interaction on the spectral and scaling functions, as well as on the cross sections, is accounted for. A comparison of the calculations with the empirical data of the MiniBooNE and BNL experiments is performed. Our results are analyzed in comparison with those when NN correlations are not included and, also, with results from other theoretical approaches, such as the relativistic Fermi gas, the relativistic mean field, and the relativistic Green's function, as well as with the SuperScaling Approach based on the analysis of quasielastic electron scattering.
Description
©2015 American Physical Society. This work was partially supported by Spanish DGI and FEDER funds (Grant Nos. FIS2011-28738-C02-01 and FPA2013 41267), by the Junta de Andalucia, by the Spanish Consolider-Ingenio 2000 program CPAN (Grant No. CSD2007 00042), by the Campus of Excellence International (CEI) of the Moncloa project (Madrid) and Andalucia Tech, and by the Istituto Nazionale di Fisica Nucleare under Contract MANYBODY, as well as by the Bulgarian National Science Fund under Contract Nos. DFNI-T02/19 and DFNIE02/6. M.V.I. is grateful for the warm hospitality given by the UCM and for financial support during his stay there from the SiNuRSE action within the ENSAR European project. A.N.A. acknowledges financial support from the Universidad de Sevilla under the Program “IV Plan Propio de Investigación. Movilidad de Investigadores.” R.G.J. acknowledges financial help from VPPI-US (Universidad de Sevilla).
UCM subjects
Keywords
Citation
[1] G. B. West, Phys. Rep. 18, 263 (1975). [2] I. Sick, D. B. Day, and J. S. McCarthy, Phys. Rev. Lett. 45, 871 (1980). [3] C. Ciofi degli Atti, E. Pace, and G. Salm´e, Phys. Rev. C 36, 1208 (1987). [4] D. B. Day, J. S. McCarthy, T. W. Donnelly, and I. Sick, Annu. Rev. Nucl. Part. Sci. 40, 357 (1990). [5] C. Ciofi degli Atti, E. Pace, and G. Salm´e, Phys. Rev. C 43, 1155 (1991). [6] C. Ciofi degli Atti and S. Simula, Phys. Rev. C 53, 1689 (1996). [7] C. Ciofi degli Atti and G. B. West, arXiv:nucl-th/9702009. [8] C. Ciofi degli Atti and G. B. West, Phys. Lett. B 458, 447 (1999). [9] D. Faralli, C. Ciofi degli Atti, and G. B. West, in Proceedings of 2nd International Conference on Perspectives in Hadronic Physics, ICTP, Trieste, Italy, 1999, edited by S. Boffi, C. Ciofidegli Atti, and M. M. Giannini (World Scientific, Singapore, 2000), p. 75. [10] W. M. Alberico, A.Molinari, T.W. Donnelly, E. L. Kronenberg, and J. W. Van Orden, Phys. Rev. C 38, 1801 (1988). [11] M. B. Barbaro, R. Cenni, A. De Pace, T. W. Donnelly, and A. Molinari, Nucl. Phys. A 643, 137 (1998). [12] T. W. Donnelly and I. Sick, Phys. Rev. Lett. 82, 3212 (1999). [13] T. W. Donnelly and I. Sick, Phys. Rev. C 60, 065502 (1999). [14] C. Maieron, T.W. Donnelly, and I. Sick,Phys. Rev. C 65, 025502 (2002). [15] M. B. Barbaro, J. A. Caballero, T.W. Donnelly, and C. Maieron, Phys. Rev. C 69, 035502 (2004). [16] A. N. Antonov, M. K. Gaidarov, D. N. Kadrev, M. V. Ivanov, E. Moya de Guerra, and J. M. Udias, Phys. Rev. C 69, 044321 (2004). [17] A. N. Antonov, M. K. Gaidarov, M. V. Ivanov, D. N. Kadrev, E. Moya de Guerra, P. Sarriguren, and J. M. Udías, Phys. Rev. C 71, 014317 (2005). [18] A. N. Antonov, M. V. Ivanov, M. K. Gaidarov, E. Moya de Guerra, P. Sarriguren, and J. M. Udías, Phys. Rev. C 73, 047302 (2006). [19] A. N. Antonov, M. V. Ivanov, M. K. Gaidarov, E. Moya de Guerra, J. A. Caballero, M. B. Barbaro, J. M. Udías, and P. Sarriguren, Phys. Rev. C 74, 054603 (2006). [20] A. N. Antonov, M. V. Ivanov, M. K. Gaidarov, and E. Moya de Guerra, Phys. Rev. C 75, 034319 (2007). [21] O. Benhar, D. Day, and I. Sick, Rev. Mod. Phys. 80, 189 (2008). [22] Y. Fukuda et al. (The Super-Kamiokande Collaboration), Phys. Rev. Lett. 81, 1562 (1998); M. H. Ahn et al. (K2K. Collaboration), ibid. 90, 041801 (2003); Q.-R. Ahmad et al. (SNO Collaboration), ibid. 87, 071301 (2001); ,89, 011301 (2002); K. Eguchi et al. (KamLAND Collaboration), ibid. 90, 021802 (2003); C. Athanassopoulos et al. (LSND Collaboration), ibid. 77, 3082 (1996); C. Athanassopoulos et al. (SNO Collaboration), ibid. 81, 1774 (1998). [23] A. N. Antonov, V. A. Nikolaev, and I. Zh. Petkov, Bulg. J. Phys. 6, 151 (1979); ,Z. Phys. A 297, 257 (1980); ,304, 239 (1982); ,Nuovo Cimento A 86, 23 (1985); ,102, 1701 (1989); A. N. Antonov, D. N. Kadrev, and P. E. Hodgson, Phys. Rev. C 50, 164 (1994). [24] A. N. Antonov, P. E. Hodgson, and I. Zh. Petkov, Nucleon Momentum and Density Distributions in Nuclei (Clarendon Press, Oxford, 1988); NucleonCorrelations in Nuclei (Springer-Verlag, Berlin, 1993). [25] A. N. Antonov, M. V. Ivanov,M. B. Barbaro, J. A. Caballero, E. Moya de Guerra, and M. K. Gaidarov, Phys. Rev. C 75, 064617 (2007). [26] J. E. Amaro, M. B. Barbaro, J. A. Caballero, T.W. Donnelly, A. Molinari, and I. Sick, Phys. Rev. C 71, 015501 (2005). [27] J. A. Caballero, J. E. Amaro, M. B. Barbaro, T.W. Donnelly, C. Maieron, and J. M. Udías, Phys. Rev. Lett. 95, 252502 (2005). [28] J. A. Caballero, Phys. Rev. C 74, 015502 (2006). [29] J. E. Amaro, M. B. Barbaro, J. A. Caballero, T. W. Donnelly, and C. Maieron, Phys. Rev. C 71, 065501 (2005). [30] J. E. Amaro, M. B. Barbaro, J. A. Caballero, and T.W. Donnelly, Phys. Rev. C 73, 035503 (2006). [31] A. Meucci, C. Giusti, and F. D. Pacati, Nucl. Phys. A 744, 307 (2004). [32] M. B. Barbaro, Nucl. Phys. B Proc. Suppl. 159, 186 (2006). [33] M. C. Martínez, P. Lava, N. Jachowicz, J. Ryckebusch, K. Vantournhout, and J. M. Udías, Phys. Rev. C 73, 024607 (2006). [34] J. Nieves, M. Valverde, and M. J. Vicente-Vacas, Nucl. Phys. B Proc. Suppl. 155, 263 (2006). [35] M. B. Barbaro, J. E. Amaro, J. A. Caballero, T. W. Donnelly, and A. Molinari, Nucl. Phys. B Proc. Suppl. 155, 257 (2006). [36] C. Maieron, M. C. Martinez, J. A. Caballero, and J. M. Udías, Phys. Rev. C 68, 048501 (2003). [37] A. Meucci, C. Giusti, and F. D. Pacati, Nucl. Phys. A 739, 277 (2004); ,773, 250 (2006). [38] O. Benhar, Nucl. Phys. B Proc. Suppl. 139, 15 (2005); O. Benhar and N. Farina, ibid. 139, 230 (2005); O. Benhar, N. Farina, H. Nakamura, M. Sakuda, and R. Seki, ibid. 155, 254 (2006); Phys. Rev. D 72, 053005 (2005). [39] G. Co’, Nucl. Phys. B Proc. Suppl. 159, 192 (2006); A. Botrugno and G. Co’, Nucl. Phys. A 761, 200 (2005); M. Martini, G. Co’, M. Anguiano, and A. M. Lallena, Phys. Rev. C 75, 034604 (2007). [40] T. Leitner, L. Alvarez-Ruso, and U. Mosel, Phys. Rev. C 73, 065502 (2006). [41] B. Szczerbinska, T. Sato, K. Kubodera, and T.-S. H. Lee, Phys. Lett. B 649, 132 (2007). [42] A. A. Aguilar-Arevalo et al. (MiniBooNE Collaboration), Phys. Rev. D 81, 092005 (2010). [43] A. A. Aguilar-Arevalo et al. (MiniBooNE Collaboration), Phys. Rev. D 82, 092005 (2010). [44] K. Abe et al., Phys. Rev. Lett. 56, 1107 (1986); ,56, 1883(E) (1986); L. A. Ahrens et al., Phys. Rev. D 35, 785 (1987). [45] A. A. Aguilar-Arevalo et al. (MiniBooNE Collaboration), Phys. Rev. D 88, 032001 (2013). [46] A. A. Aguilar-Arevalo et al. (MiniBooNE Collaboration), Phys. Rev. D 91, 012004 (2015). [47] A. M. Ankowski, Phys. Rev. C 86, 024616 (2012). [48] P. Lipari, Nucl. Phys. B Proc. Suppl. 112, 274 (2002); G. P. Zeller, arXiv:hep-ex/0312061. [49] A. Meucci, C. Giusti, and F. D. Pacati, Phys. Rev. D 84, 113003 (2011). [50] A. V. Butkevich and D. Perevalov, Phys. Rev. C 84, 015501 (2011). [51] O. Benhar and G. Veneziano, Phys. Lett. B 702, 433 (2011). [52] M. Martini, M. Ericson, and G. Chanfray, Phys. Rev. C 84, 055502 (2011). [53] J. Nieves, I. R. Simo, and M. J. V. Vacas, Phys. Lett. B 707, 72 (2012). [54] J. E. Amaro, M. B. Barbaro, J. A. Caballero, T. W. Donnelly, and J. M. Udías, Phys. Rev. D 84, 033004 (2011). [55] A. Meucci, M. B. Barbaro, J. A. Caballero, C. Giusti, and J. M. Udías, Phys. Rev. Lett. 107, 172501 (2011). [56] V. Bernard, L. Elouadrhiri, and Ulf-G. Meißner, J. Phys. G 28, R1 (2002). [57] M. Martini, M. Ericson, G. Chanfray, and J.Marteau, Phys. Rev. C 80, 065501 (2009). [58] M. Martini, M. Ericson, G. Chanfray, and J.Marteau, Phys. Rev. C 81, 045502 (2010). [59] R. González-Jiménez, M. V. Ivanov, M. B. Barbaro, J. A. Caballero, and J. M. Udías, Phys. Lett. B 718, 1471 (2013). [60] M. V. Ivanov, R. Gonz´alez-Jiménez, J. A. Caballero, M. B. Barbaro, T. W. Donnelly, and J. M. Udías, Phys. Lett. B 727, 265 (2013). [61] R. González-Jiménez, J. A. Caballero, A. Meucci, C. Giusti, M. B. Barbaro, M. V. Ivanov, and J. M. Ud´ıas, Phys. Rev. C 88, 025502 (2013). [62] A. Meucci and C. Giusti, Phys. Rev. D 89, 057302 (2014). [63] A. Meucci, J. A. Caballero, C. Giusti, F. D. Pacati, and J. M. Udías, Phys. Rev. C 80, 024605 (2009). [64] A. Meucci and C. Giusti, Phys. Rev. D 85, 093002 (2012). [65] J. E. Amaro, M. B. Barbaro, J. A. Caballero, T. W. Donnelly, and C. F. Williamson, Phys. Lett. B 696, 151 (2011). [66] R. González-Jiménez, G. D. Megias, M. B. Barbaro, J. A. Caballero, and T. W. Donnelly, Phys. Rev. C 90, 035501 (2014). [67] O. Lalakulich, K. Gallmeister, and U. Mosel, Phys. Rev. C 86, 014614 (2012). [68] V. Lyubushkin et al. (NOMAD Collaboration), Eur. Phys. J. C 63, 355 (2009). [69] T. Golan, Kr. M. Graczyk, C. Juszczak, and J. T. Sobczyk, Phys. Rev. C 88, 024612 (2013). [70] A. Bodek, H. S. Budd, and M. E. Christie, Eur. Phys. J. C 71, 1726 (2011). [71] J. T. Sobczyk, Eur. Phys. J. C 72, 1850 (2012). [72] A. M. Ankowski andO.Benhar,Phys. Rev.D88, 093004 (2013). [73] M. V. Ivanov, A. N. Antonov, J. A. Caballero, G. D. Megias, M. B. Barbaro, E. Moya de Guerra, and J. M. Udías, Phys. Rev. C 89, 014607 (2014). [74] M. B. Barbaro, A. De Pace, T. W. Donnelly, A. Molinari, and M. J. Musolf, Phys. Rev. C 54, 1954 (1996). [75] W. M. Alberico, M. B. Barbaro, S. M. Bilenky, J. A. Caballero, C. Giunti, C. Maieron, E. Moya de Guerra, and J. M. Udías, Nucl. Phys. A 623, 471 (1997). [76] W. M. Alberico, M. B. Barbaro, S. M. Bilenky, J. A. Caballero, C. Giunti, C. Maieron, E. Moya de Guerra, and J. M. Udías, Nucl. Phys. A 651, 277 (1999). [77] M. C. Martinez, J. A. Caballero, T. W. Donnelly, and J. M. Udías, Phys. Rev. C 77, 064604 (2008). [78] M. C. Martinez, J. A. Caballero, T. W. Donnelly, and J. M. Udías, Phys. Rev. Lett. 100, 052502 (2008). [79] J. Liu, R. D. McKeown, and M. J. Ramsey-Musolf, Phys. Rev. C 76, 025202 (2007). [80] R. Gonzalez-Jimenez, J. A. Caballero, and T. W. Donnelly, Phys. Rep. 524, 1 (2013). [81] E. L. Lomon, Phys. Rev. C 66, 045501 (2002). [82] E. L. Lomon, Phys. Rev. C 64, 035204 (2001). [83] C. Crawford et al., Phys. Rev. C 82, 045211 (2010). [84] E. D. Cooper, S. Hama, B. C. Clark, and R. L. Mercer, Phys. Rev. C 47, 297 (1993). [85] F. Capuzzi, C. Giusti, and F. D. Pacati, Nucl. Phys. A 524, 681 (1991). [86] A. Meucci, F. Capuzzi, C. Giusti, and F. D. Pacati, Phys. Rev. C 67, 054601 (2003). [87] A. Meucci, J. A. Caballero, C. Giusti, and J. M. Udías, Phys. Rev. C 83, 064614 (2011). [88] E. D. Cooper, S. Hama, and B. C.Clark,Phys. Rev. C 80, 034605 (2009). [89] D. Perevalov, Neutrino-nucleus neutral current elastic interactions measurement in MiniBooNE, Ph.D. thesis, University of Alabama (2009). [90]http://wwwboone.fnal.gov/for_physicists/data_release/ncel
Collections