ترغب بنشر مسار تعليمي؟ اضغط هنا

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

134   0   0.0 ( 0 )
 نشر من قبل Andrea Bressan
 تاريخ النشر 2015
  مجال البحث
والبحث باللغة English




اسأل ChatGPT حول البحث

New results for the double spin asymmetry $A_1^{rm p}$ and the proton longitudinal spin structure function $g_1^{rm p}$ are presented. They were obtained by the COMPASS collaboration using polarised 200 GeV muons scattered off a longitudinally polarised NH$_3$ target. The data were collected in 2011 and complement those recorded in 2007 at 160,GeV, in particular at lower values of $x$. They improve the statistical precision of $g_1^{rm p}(x)$ by about a factor of two in the region $xlesssim 0.02$. A next-to-leading order QCD fit to the $g_1$ world data is performed. It leads to a new determination of the quark spin contribution to the nucleon spin, $Delta Sigma$ ranging from 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 in the present determinations of the gluon helicity distribution. A new evaluation of the Bjorken sum rule based on the COMPASS results for the non-singlet structure function $g_1^{rm NS}(x,Q^2)$ yields as ratio of the axial and vector 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 about 9%.



قيم البحث

اقرأ أيضاً

Final results are presented from the inclusive measurement of deep-inelastic polarised-muon scattering on longitudinally polarised deuterons using a $^6$LiD target. The data were taken at $160~{rm GeV}$ beam energy and the results are shown for the k inematic range $1~({rm GeV}/c)^2 < Q^2 < 100~({rm GeV}/c)^2$ in photon virtuality, $0.004<x<0.7$ in the Bjorken scaling variable and $W > 4~{rm GeV}/c^2$ in the mass of the hadronic final state. The deuteron double-spin asymmetry $A_1^{rm d}$ and the deuteron longitudinal-spin structure function $g_1^{rm d}$ are presented in bins of $x$ and $Q^2$. Towards lowest accessible values of $x$, $g_1^{rm d}$ decreases and becomes consistent with zero within uncertainties. The presented final $g_1^{rm d}$ values together with the recently published final $g_1^{rm p}$ values of COMPASS are used to again evaluate the Bjorken sum rule and perform the QCD fit to the $g_1$ world data at next-to-leading order of the strong coupling constant. In both cases, changes in central values of the resulting numbers are well within statistical uncertainties. The flavour-singlet axial charge $a_0$, {which is identified in the $overline{rm MS}$ renormalisation scheme with the total contribution of quark helicities to the nucleon spin}, is extracted from only the COMPASS deuteron data with negligible extrapolation uncertainty: $a_0 (Q^2 = 3~({rm GeV}/c)^2) = 0.32 pm 0.02_{rm stat} pm0.04_{rm syst} pm 0.05_{rm evol}$. Together with the recent results on the proton spin structure function $g_1^{rm p}$, the results on $g_1^{rm d}$ constitute the COMPASS legacy on the measurements of $g_1$ through inclusive spin-dependent deep inelastic scattering.
We present a precise measurement of the proton longitudinal double-spin asymmetry $A_1^{rm p}$ and the proton spin-dependent structure function $g_1^{rm p}$ at photon virtualities $0.006~({rm GeV}/c)^2<Q^2 < 1~({rm GeV}/c)^2$ in the Bjorken $x$ range of $4 times 10^{-5} < x < 4 times 10^{-2}$. The results are based on data collected by the COMPASS Collaboration at CERN using muon beam energies of $160~{rm GeV}$ and $200~{rm GeV}$. The statistical precision is more than tenfold better than that of the previous measurement in this region. In the whole range of $x$, the measured values of $A_1^{rm p}$ and $g_1^{rm p}$ are found to be positive. It is for the first time that spin effects are found at such low values of $x$.
Precise measurements of the spin structure functions of the proton $g_1^p(x,Q^2)$ and deuteron $g_1^d(x,Q^2)$ are presented over the kinematic range $0.0041 leq x leq 0.9$ and $0.18 $ GeV$^2$ $leq Q^2 leq 20$ GeV$^2$. The data were collected at the H ERMES experiment at DESY, in deep-inelastic scattering of 27.6 GeV longitudinally polarized positrons off longitudinally polarized hydrogen and deuterium gas targets internal to the HERA storage ring. The neutron spin structure function $g_1^n$ is extracted by combining proton and deuteron data. The integrals of $g_1^{p,d}$ at $Q^2=5$ GeV$^2$ are evaluated over the measured $x$ range. Neglecting any possible contribution to the $g_1^d$ integral from the region $x leq 0.021$, a value of $0.330 pm 0.011mathrm{(theo.)}pm0.025mathrm{(exp.)}pm 0.028$(evol.) is obtained for the flavor-singlet axial charge $a_0$ in a leading-twist NNLO analysis.
We perform a global analysis of all available spin-dependent proton structure function data, covering a large range of Q^2, 1 < Q^2 < 30 GeV^2, and calculate the lowest moment of the g_1 structure function as a function of Q^2. From the Q^2 dependenc e of the lowest moment we extract matrix elements of twist-4 operators, and determine the color electric and magnetic polarizabilities of the proton to be chi_E = 0.026 +- 0.015 (stat) + 0.021/-0.024 (sys) and chi_B = -0.013 -+ 0.007 (stat) - 0.010/+0.012 (sys), respectively.
We study the semileptonic branching fraction of $B$-meson into higher resonance of charmed meson $D^{**}$ by using the Bjorken sum rule and the heavy quark effective theory(HQET). This sum rule and the current experiment of $B$-meson semileptonic dec ay into $D$ and $D^*$ predict that the branching ratio into $D^{**}l u_l$ is about 1.7%. This predicted value is larger than the value obtained by the various theoretical hadron models based on the HQET.
التعليقات
جاري جلب التعليقات جاري جلب التعليقات
سجل دخول لتتمكن من متابعة معايير البحث التي قمت باختيارها
mircosoft-partner

هل ترغب بارسال اشعارات عن اخر التحديثات في شمرا-اكاديميا