The Spin Structure Function $g_1^{\rm p}$ of the Proton and a Test of the Bjorken Sum Rule

Adolph C, Akhunzyanov R, Alexeev MG, Alexeev GD, Amoroso A, Andrieux V, Anosov V, Austregesilo A, Azevedo C, Badelek B, Balestra F, et al. (2016)
Physics Letters B 753: 18-28.

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Abstract
New results for the double spin asymmetry $A_1^{\rm p}$ and the protonlongitudinal spin structure function $g_1^{\rm p}$ are presented. They wereobtained by the COMPASS collaboration using polarised 200 GeV muons scatteredoff a longitudinally polarised NH$_3$ target. The data were collected in 2011and complement those recorded in 2007 at 160\,GeV, in particular at lowervalues of $x$. They improve the statistical precision of $g_1^{\rm p}(x)$ byabout a factor of two in the region $x\lesssim 0.02$. A next-to-leading orderQCD fit to the $g_1$ world data is performed. It leads to a new determinationof the quark spin contribution to the nucleon spin, $\Delta \Sigma$ rangingfrom 0.26 to 0.36, and to a re-evaluation of the first moment of $g_1^{\rm p}$.The uncertainty of $\Delta \Sigma$ is mostly due to the large uncertainty inthe present determinations of the gluon helicity distribution. A new evaluationof the Bjorken sum rule based on the COMPASS results for the non-singletstructure function $g_1^{\rm NS}(x,Q^2)$ yields as ratio of the axial andvector coupling constants $|g_{\rm A}/g_{\rm V}| = 1.22 \pm 0.05~({\rm stat.})\pm 0.10~({\rm syst.})$, which validates the sum rule to an accuracy of about9\%.
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Adolph C, Akhunzyanov R, Alexeev MG, et al. The Spin Structure Function $g_1^{\rm p}$ of the Proton and a Test of the Bjorken Sum Rule. Physics Letters B. 2016;753:18-28.
Adolph, C., Akhunzyanov, R., Alexeev, M. G., Alexeev, G. D., Amoroso, A., Andrieux, V., Anosov, V., et al. (2016). The Spin Structure Function $g_1^{\rm p}$ of the Proton and a Test of the Bjorken Sum Rule. Physics Letters B, 753, 18-28.
Adolph, C., Akhunzyanov, R., Alexeev, M. G., Alexeev, G. D., Amoroso, A., Andrieux, V., Anosov, V., Austregesilo, A., Azevedo, C., Badelek, B., et al. (2016). The Spin Structure Function $g_1^{\rm p}$ of the Proton and a Test of the Bjorken Sum Rule. Physics Letters B 753, 18-28.
Adolph, C., et al., 2016. The Spin Structure Function $g_1^{\rm p}$ of the Proton and a Test of the Bjorken Sum Rule. Physics Letters B, 753, p 18-28.
C. Adolph, et al., “The Spin Structure Function $g_1^{\rm p}$ of the Proton and a Test of the Bjorken Sum Rule”, Physics Letters B, vol. 753, 2016, pp. 18-28.
Adolph, C., Akhunzyanov, R., Alexeev, M.G., Alexeev, G.D., Amoroso, A., Andrieux, V., Anosov, V., Austregesilo, A., Azevedo, C., Badelek, B., Balestra, F., Barth, J., Baum, G., Beck, G.R., Bedfer, Y., Bernhard, J., Bicker, K., Bielert, E.R., Birsa, R., Bisplinghoff, J., Bodlak, M., Boer, M., Bordalo, P., Bradamante, F., Braun, C., Bressan, A., Buechele, M., Burtin, E., Capozza, L., Chang, W.-C., Chiosso, M., Choi, I., Chung, S.U., Cicuttin, A., Crespo, M.L., Curiel, Q., Dalla Torre, S., Dasgupta, S.S., Dasgupta, S., Denisov, O.Y., Dhara, L., Donskov, S.V., Doshita, N., Duic, V., Dziewiecki, M., Efremov, A., Eversheim, P.D., Eyrich, W., Ferrero, A., Finger, M., Finger jr., M., Fischer, H., Franco, C., du Fresne von Hohenesche, N., Friedrich, J.M., Frolov, V., Fuchey, E., Gautheron, F., Gavrichtchouk, O.P., Gerassimov, S., Giordano, F., Gnesi, I., Gorzellik, M., Grabmüller, S., Grasso, A., Grosse-Perdekamp, M., Grube, B., Grussenmeyer, T., Guskov, A., Haas, F., Hahne, D., Harrach, D. von, Hashimoto, R., Heinsius, F.H., Herrmann, F., Hinterberger, F., Horikawa, N., d'Hose, N., Hsieh, C.-Y., Huber, S., Ishimoto, S., Ivanov, A., Ivanshin, Y., Iwata, T., Jahn, R., Jary, V., Jörg, P., Joosten, R., Kabuß, E., Ketzer, B., Khaustov, G.V., Khokhlov, Y.A., Kisselev, Y., Klein, F., Klimaszewski, K., Koivuniemi, J.H., Kolosov, V.N., Kondo, K., Koenigsmann, K., Konorov, I., Konstantinov, V.F., Kotzinian, A.M., Kouznetsov, O., Kraemer, M., Kremser, P., Krinner, F., Kroumchtein, Z.V., Kuchinski, N., Kunne, F., Kurek, K., Kurjata, R.P., Lednev, A.A., Lehmann, A., Levillain, M., Levorato, S., Lichtenstadt, J., Longo, R., Maggiora, A., Magnon, A., Makins, N., Makke, N., Mallot, G.K., Marchand, C., Martin, A., Marzec, J., Matousek, J., Matsuda, H., Matsuda, T., Meshcheryakov, G., Meyer, W., Michigami, T., Mikhailov, Y.V., Miyachi, Y., Nagaytsev, A., Nagel, T., Nerling, F., Neyret, D., Nikolaenko, V.I., Novy, J., Nowak, W.-D., Nunes, A.S., Olshevsky, A.G., Orlov, I., Ostrick, M., Panzieri, D., Parsamyan, B., Paul, S., Peng, J.-C., Pereira, F., Pesek, M., Peshekhonov, D.V., Platchkov, S., Pochodzalla, J., Polyakov, V.A., Pretz, J., Quaresma, M., Quintans, C., Ramos, S., Regali, C., Reicherz, G., Riedl, C., Rocco, E., Rossiyskaya, N.S., Ryabchikov, D.I., Rychter, A., Samoylenko, V.D., Sandacz, A., Santos, C., Sarkar, S., Savin, I.A., Sbrizzai, G., Schiavon, P., Schmidt, K., Schmieden, H., Schoenning, K., Schopferer, S., Selyunin, A., Shevchenko, O.Y., Silva, L., Sinha, L., Sirtl, S., Slunecka, M., Sozzi, F., Srnka, A., Stolarski, M., Sulc, M., Suzuki, H., Szabelski, A., Szameitat, T., Sznajder, P., Takekawa, S., Wolbeek, J. ter, Tessaro, S., Tessarotto, F., Thibaud, F., Tosello, F., Tskhay, V., Uhl, S., Veloso, J., Virius, M., Weisrock, T., Wilfert, M., Zaremba, K., Zavertyaev, M., Zemlyanichkina, E., Ziembicki, M., Zink, A.: The Spin Structure Function $g_1^{\rm p}$ of the Proton and a Test of the Bjorken Sum Rule. Physics Letters B. 753, 18-28 (2016).
Adolph, C., Akhunzyanov, R., Alexeev, M. G., Alexeev, G. D., Amoroso, A., Andrieux, V., Anosov, V., Austregesilo, A., Azevedo, C., Badelek, B., Balestra, F., Barth, J., Baum, Günter, Beck, G. R., Bedfer, Y., Bernhard, J., Bicker, K., Bielert, E. R., Birsa, R., Bisplinghoff, J., Bodlak, M., Boer, M., Bordalo, P., Bradamante, F., Braun, C., Bressan, A., Buechele, M., Burtin, E., Capozza, L., Chang, W. -C., Chiosso, M., Choi, I., Chung, S. U., Cicuttin, A., Crespo, M. L., Curiel, Q., Dalla Torre, S., Dasgupta, S. S., Dasgupta, S., Denisov, O. Yu., Dhara, L., Donskov, S. V., Doshita, N., Duic, V., Dziewiecki, M., Efremov, A., Eversheim, P. D., Eyrich, W., Ferrero, A., Finger, M., Finger jr., M., Fischer, H., Franco, C., du Fresne von Hohenesche, N., Friedrich, J. M., Frolov, V., Fuchey, E., Gautheron, F., Gavrichtchouk, O. P., Gerassimov, S., Giordano, F., Gnesi, I., Gorzellik, M., Grabmüller, S., Grasso, A., Grosse-Perdekamp, M., Grube, B., Grussenmeyer, T., Guskov, A., Haas, F., Hahne, D., Harrach, D. von, Hashimoto, R., Heinsius, F. H., Herrmann, F., Hinterberger, F., Horikawa, N., d'Hose, N., Hsieh, C. -Yu, Huber, S., Ishimoto, S., Ivanov, A., Ivanshin, Yu., Iwata, T., Jahn, R., Jary, V., Jörg, P., Joosten, R., Kabuß, E., Ketzer, B., Khaustov, G. V., Khokhlov, Yu. A., Kisselev, Yu., Klein, F., Klimaszewski, K., Koivuniemi, J. H., Kolosov, V. N., Kondo, K., Koenigsmann, K., Konorov, I., Konstantinov, V. F., Kotzinian, A. M., Kouznetsov, O., Kraemer, M., Kremser, P., Krinner, F., Kroumchtein, Z. V., Kuchinski, N., Kunne, F., Kurek, K., Kurjata, R. P., Lednev, A. A., Lehmann, A., Levillain, M., Levorato, S., Lichtenstadt, J., Longo, R., Maggiora, A., Magnon, A., Makins, N., Makke, N., Mallot, G. K., Marchand, C., Martin, A., Marzec, J., Matousek, J., Matsuda, H., Matsuda, T., Meshcheryakov, G., Meyer, W., Michigami, T., Mikhailov, Yu. V., Miyachi, Y., Nagaytsev, A., Nagel, T., Nerling, F., Neyret, D., Nikolaenko, V. I., Novy, J., Nowak, W. -D., Nunes, A. S., Olshevsky, A. G., Orlov, I., Ostrick, M., Panzieri, D., Parsamyan, B., Paul, S., Peng, J. -C., Pereira, F., Pesek, M., Peshekhonov, D. V., Platchkov, S., Pochodzalla, J., Polyakov, V. A., Pretz, J., Quaresma, M., Quintans, C., Ramos, S., Regali, C., Reicherz, G., Riedl, C., Rocco, E., Rossiyskaya, N. S., Ryabchikov, D. I., Rychter, A., Samoylenko, V. D., Sandacz, A., Santos, C., Sarkar, S., Savin, I. A., Sbrizzai, G., Schiavon, P., Schmidt, K., Schmieden, H., Schoenning, K., Schopferer, S., Selyunin, A., Shevchenko, O. Yu., Silva, L., Sinha, L., Sirtl, S., Slunecka, M., Sozzi, F., Srnka, A., Stolarski, M., Sulc, M., Suzuki, H., Szabelski, A., Szameitat, T., Sznajder, P., Takekawa, S., Wolbeek, J. ter, Tessaro, S., Tessarotto, F., Thibaud, F., Tosello, F., Tskhay, V., Uhl, S., Veloso, J., Virius, M., Weisrock, T., Wilfert, M., Zaremba, K., Zavertyaev, M., Zemlyanichkina, E., Ziembicki, M., and Zink, A. “The Spin Structure Function $g_1^{\rm p}$ of the Proton and a Test of the Bjorken Sum Rule”. Physics Letters B 753 (2016): 18-28.
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