Date

Identification of nuclear effects in neutrino-carbon interactions at low three-momentum transfer

The MINERvA collaboration Rodrigues, P.A. ; Demgen, J. ; Miltenberger, E. ; et al.
Phys.Rev.Lett. 116 (2016) 071802, 2016.
Inspire Record 1405301 DOI 10.17182/hepdata.76976

Two different nuclear-medium effects are isolated using a low three-momentum transfer subsample of neutrino-carbon scattering data from the MINERvA neutrino experiment. The observed hadronic energy in charged-current $\nu_\mu$ interactions is combined with muon kinematics to permit separation of the quasielastic and $\Delta$(1232) resonance processes. First, we observe a small cross section at very low energy transfer that matches the expected screening effect of long-range nucleon correlations. Second, additions to the event rate in the kinematic region between the quasielastic and $\Delta$ resonance processes are needed to describe the data. The data in this kinematic region also has an enhanced population of multi-proton final states. Contributions predicted for scattering from a nucleon pair have both properties; the model tested in this analysis is a significant improvement but does not fully describe the data. We present the results as a double-differential cross section to enable further investigation of nuclear models. Improved description of the effects of the nuclear environment are required by current and future neutrino oscillation experiments.

2 data tables

The $\nu_\mu$ flux, in units 10$^{-5}$ / m$^{2}$ / P.O.T. / GeV.

Measured cross section per nucleon, in units 10$^{-42}$ cm$^2$ / GeV$^2$.


Measurements of the atmospheric neutrino flux by Super-Kamiokande: energy spectra, geomagnetic effects, and solar modulation

The Super-Kamiokande collaboration Richard, E. ; Okumura, K. ; Abe, K. ; et al.
Phys.Rev.D 94 (2016) 052001, 2016.
Inspire Record 1401192 DOI 10.17182/hepdata.76912

A comprehensive study on the atmospheric neutrino flux in the energy region from sub-GeV up to several TeV using the Super-Kamiokande water Cherenkov detector is presented in this paper. The energy and azimuthal spectra of the atmospheric ${\nu}_e+{\bar{\nu}}_e$ and ${\nu}_{\mu}+{\bar{\nu}}_{\mu}$ fluxes are measured. The energy spectra are obtained using an iterative unfolding method by combining various event topologies with differing energy responses. The azimuthal spectra depending on energy and zenith angle, and their modulation by geomagnetic effects, are also studied. A predicted east-west asymmetry is observed in both the ${\nu}_e$ and ${\nu}_{\mu}$ samples at 8.0 {\sigma} and 6.0 {\sigma} significance, respectively, and an indication that the asymmetry dipole angle changes depending on the zenith angle was seen at the 2.2 {\sigma} level. The measured energy and azimuthal spectra are consistent with the current flux models within the estimated systematic uncertainties. A study of the long-term correlation between the atmospheric neutrino flux and the solar magnetic activity cycle is also performed, and a weak indication of a correlation was seen at the 1.1 {\sigma} level, using SK I-IV data spanning a 20 year period. For particularly strong solar activity periods known as Forbush decreases, no theoretical prediction is available, but a deviation below the typical neutrino event rate is seen at the 2.4 {\sigma} level.

2 data tables

Electron neutrino flux measured by SK I-IV data. Error written in percentage including both statistical and systematic uncertainties.

Muon neutrino flux measured by SK I-IV data. Error written in percentage including both statistical and systematic uncertainties.


Improved determination of alpha(s) from neutrino nucleon scattering.

Seligman, W.G. ; Arroyo, C.G. ; de Barbaro, L. ; et al.
Phys.Rev.Lett. 79 (1997) 1213-1216, 1997.
Inspire Record 448914 DOI 10.17182/hepdata.37289

We present an improved determination of the proton structure functions $F_{2}$ and $xF_{3}$ from the CCFR $\nu $-Fe deep inelastic scattering (DIS) experiment. Comparisons to high-statistics charged-lepton scattering results for $F_{2}$ from the NMC, E665, SLAC, and BCDMS experiments, after correcting for quark-charge and heavy-target effects, indicate good agreement for $x>0.1$ but some discrepancy at lower x. The $Q^{2}$ evolution of the structure functions yields the quantum chromodynamics (QCD) scale parameter $\Lambda_{\bar{MS}}^{NLO,(4)}=337 \pm 28$(exp.) MeV. This corresponds to a value of the strong coupling constant at the scale of mass of the Z-boson of $\alpha _{S}(M_{Z}^{2})=0.119 \pm 0.002 (exp.) \pm 0.004 (theory)$ and is one of the most precise measurements of this quantity.

6 data tables

No description provided.

No description provided.

No description provided.

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A Precise Measurement of the Muon Neutrino-NucleonInclusive Charged Current Cross-Section off an IsoscalarTarget in the Energy Range\boldmath{$2.5 < E_\nu < 40$}~GeV by NOMAD

The NOMAD collaboration Wu, Q. ; Mishra, Sanjib Ratan ; Godley, A. ; et al.
Phys.Lett.B 660 (2008) 19-25, 2008.
Inspire Record 767013 DOI 10.17182/hepdata.50629

We present a measurement of the muon neutrino-nucleon inclusive charged current cross-section, off an isoscalar target, in the neutrino energy range $2.5 \leq E_\nu \leq 40$ GeV. The significance of this measurement is its precision, $\pm 4$% in $2.5 \leq E_\nu \leq 10$ GeV, and $\pm 2.6$% in $10 \leq E_\nu \leq 40$ GeV regions, where significant uncertainties in previous experiments still exist, and its importance to the current and proposed long baseline neutrino oscillation experiments.

1 data table

Inclusive muon-neutrino charged current cross section.


Measurement of nucleon structure functions in neutrino scattering.

The CHORUS collaboration Onengut, G. ; van Dantzig, R. ; de Jong, M. ; et al.
Phys.Lett.B 632 (2006) 65-75, 2006.
Inspire Record 699123 DOI 10.17182/hepdata.6187

After completion of the data taking for the νμ→ντ oscillation search, the CHORUS lead–scintillator calorimeter was used in the 1998 run as an active target. High-statistics samples of charged-current interactions were collected in the CERN SPS west area neutrino beam. This beam contained predominantly muon (anti-)neutrinos from sign-selected pions and kaons. We measure the flux and energy spectrum of the incident neutrinos and compare them with beam simulations. The neutrino–nucleon and anti-neutrino–nucleon differential cross-sections are measured in the range 0.01<x<0.7 , 0.05<y<0.95 , 10<Eν<200 GeV . We extract the neutrino–nucleon structure functions F2(x,Q2) , xF3(x,Q2) , and R(x,Q2) and compare these with results from other experiments.

121 data tables

The measured F2 and xF3 at X = 0.020.

The measured F2 and xF3 at X = 0.045.

The measured F2 and xF3 at X = 0.080.

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Precise measurement of neutrino and anti-neutrino differential cross sections.

The NuTeV collaboration Tzanov, M. ; Naples, D. ; Boyd, S. ; et al.
Phys.Rev.D 74 (2006) 012008, 2006.
Inspire Record 691719 DOI 10.17182/hepdata.11120

The NuTeV experiment at Fermilab has obtained a unique high statistics sample of neutrino and anti-neutrino interactions using its high-energy sign-selected beam. We present a measurement of the differential cross section for charged-current neutrino and anti-neutrino scattering from iron. Structure functions, F_2(x,Q^2) and xF_3(x,Q^2), are determined by fitting the inelasticity, y, dependence of the cross sections. This measurement has significantly improved systematic precision as a consequence of more precise understanding of hadron and muon energy scales.

159 data tables

Measurement of F2 at X = 0.015.

Measurement of F2 at X = 0.045.

Measurement of F2 at X = 0.080.

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Total Cross-Sections for Charged Current Neutrino and anti-neutrino Interactions in BEBC in the Energy Range 20-GeV to 200-GeV

The Aachen-Bonn-CERN-London-Oxford-Saclay collaboration Bosetti, P.C. ; Deden, H. ; Deutschmann, M. ; et al.
Phys.Lett.B 70 (1977) 273, 1977.
Inspire Record 121301 DOI 10.17182/hepdata.27526

The charged-current cross sections for neutrinos and antineutrinos on nucleons in the energy range 20–200 GeV are given. Taken in conjunction with the previous Gargamelle results, they show that σ E is almost constant with energy for antineutrinos, and falls with energy for neutrinos. The value of 〈q 2 〉 E decreases with energy for both neutrinos and antineutrinos, and these deviations from exact Bjorken scaling are consistent with those observed in electron and muon inelastic scattering. We find no evidence for new heavy quark states with right-handed coupling.

2 data tables

Measured charged current total cross section.

Measured charged current total cross section.


CHARGED CURRENT NEUTRINO INTERACTIONS BELOW 30-GeV

Asratian, A.E. ; Bugorsky, A.P. ; Epshtein, V.Sh. ; et al.
Phys.Lett.B 76 (1978) 239-242, 1978.
Inspire Record 130941 DOI 10.17182/hepdata.26951

Charged current data of a spark chamber neutrino experiment at the 70 GeV Serpukhov accelerator (10 200 events in the v beam and 3600 events in the v beam with energies up to 30 GeV) have been analyzed. Total neutrino and antineutrino cross sections and v -distributions are obtained.

2 data tables

Measured charged current total cross section.

Measured charged current total cross section.


Measurements of the $\nu_\mu N$ Total Cross-section at 2-{GeV} - 30-{GeV} in Skat Neutrino Experiment

Baranov, D.S. ; Bugorsky, A.P. ; Ivanilov, A.A. ; et al.
Phys.Lett.B 81 (1979) 255-257, 1979.
Inspire Record 130963 DOI 10.17182/hepdata.26940

Data on the measurement of the v μ N total cross section at 2–30 GeV are presented. The observed behavior does not contradict a linear dependence on neutrino energy with slope S =0.73 ± 0.08.

1 data table

Measured charged current total cross section.


Total Cross-section for Neutrino Charged Current Interactions at 3-{GeV} and 9-{GeV}

The Gargamelle Neutrino Propane & Aachen-Brussels-CERN-Ecole Poly-Orsay-Padua collaborations Ciampolillo, S. ; Degrange, B. ; Dewit, M. ; et al.
Phys.Lett.B 84 (1979) 281-284, 1979.
Inspire Record 141175 DOI 10.17182/hepdata.27322

Average total cross sections are given for neutrino charged current interactions at neutrino energies of 2.87 GeV and 9.05 GeV. The ratios 〈σ〉 〈E〉 are 0.69 ± 0.05 and 0.61 ± 0.06 in units of 10 −38 cm 2 /GeV nucleon, respectively The errors include both statistical and systematic uncertainties.

2 data tables

Measured charged current total cross section.

Measured charged current total cross section.


Inclusive Neutrino p and Neutrino n Charged-Current Neutrino Reactions Below 6-GeV

Barish, S.J. ; Derrick, M. ; Dombeck, T. ; et al.
Phys.Lett.B 66 (1977) 291-294, 1977.
Inspire Record 4240 DOI 10.17182/hepdata.27596

Results are presented of a study of inclusive ηp and ηn interactions from threshold to 6 GeV. The data show a rapid approach to the distributions expected in the naive quark-parton model. The charged-current η deuteron total cross section is fit by the expression σ T ( η d) = (0.76 ± 0.03) × 10 −38 E η cm 2 per GeV per nucleon. For E η > 1.5 GeV, we measure σ T ( η n)/ σ T ( η p) = (2.02 ± 0.23). The distributions in the scaling variables x and y are given and discussed.

1 data table

Measured charged current total cross section.


Measurement of the Neutrino - Nucleon Anti-neutrino - Nucleon Total Cross-sections

Eichten, T. ; Faissner, H. ; Hasert, F.J. ; et al.
Phys.Lett.B 46 (1973) 274-280, 1973.
Inspire Record 84484 DOI 10.17182/hepdata.28054

The v and v nucleon total cross-sections have been determined as a function of energy using a sample of 2500 v and 950 v event. The results are compared with predictions of scaling and charge symmetry hypotheses.

2 data tables

Measured charged current total cross section.

Measured charged current total cross section.


CROSS-SECTIONS AND SCALING VARIABLE DISTRIBUTIONS OF NEUTRAL AND CHARGED CURRENT NEUTRINO NUCLEON INTERACTIONS FROM A LOW-ENERGY NARROW BAND BEAM

Baltay, C. ; French, H. ; Hibbs, M. ; et al.
Phys.Rev.Lett. 44 (1980) 916-919, 1980.
Inspire Record 157494 DOI 10.17182/hepdata.20725

This Letter compares neutral-current and charged-current scaling-variable distributions in neutrino-nucleon interactions induced by a narrow-band beam at Brookhaven National Laboratory; the x distribution of neutral-current events has been reported previously. The first measurement of flux-normalized neutrino cross sections from a narrow-band beam in the energy range Eν=3−9 GeV is also presented.

1 data table

Measured charged current total cross section.


Study of Neutrino Interactions in Hydrogen and Deuterium: Inelastic Charged Current Reactions

Barish, S.J. ; Derrick, M. ; Dombeck, T. ; et al.
Phys.Rev.D 19 (1979) 2521, 1979.
Inspire Record 7237 DOI 10.17182/hepdata.24295

This paper gives the results of a study of inelastic charged-current interactions of muon-type neutrinos with hydrogen and deuterium targets using the Argonne 12-foot bubble chamber. We discuss in detail the separation of the events from background. For the single-pion production reactions νp→μ−pπ+, νn→μ−nπ+, and νn→μ−pπ0, energy-dependent cross sections, differential cross sections, invariant-mass distributions, and the Δ++(1236) decay angular distribution are presented. These data are also used to study the isospin properties of the πN system. Comparisons of the data with models of single-pion production are made, and a direct test of partial conservation of the axial-vector current is discussed. Cross sections and invariant-mass distributions are given for the reactions in which more than one pion is produced. Ten events of strange-particle production were found, and the properties of these events are discussed. The energy dependence of the total νp and νn cross sections from threshold to 6 GeV was determined, and the σ(νn)σ(νp) ratio measured. This ratio and the inclusive x and y distributions rapidly approach the scaling distributions expected from the quark-parton model.

1 data table

Measured charged current total cross section.


Total Cross-sections and Nucleon Structure Functions in the Gargamelle {SPS} Neutrino / Anti-neutrino Experiment

The Gargamelle SPS collaboration Morfin, J.G. ; Weerts, H. ; Frodesen, A.G. ; et al.
Phys.Lett.B 104 (1981) 235-238, 1981.
Inspire Record 165895 DOI 10.17182/hepdata.31166

Total neutrino and antineutrino cross sections in the energy range 15 to 150 GeV, and the nucleon structure functions, F 2 ( x , Q 2 ) and xF 3 ( x , Q 2 ) in the Q 2 range 0.5 to 50 (GeV/ c ) 2 have been measured using a data sample of 3000 neutrino and 3800 antineutrino events. The structure functions show a weak Q 2 dependence at different x values.

4 data tables

Measured charged current total cross section.

Measured charged current total cross section.

ERRORS CONTAIN 10 P.C. SYSTEMATIC ERROR WHICH HAS BEEN LINEARLY ADDED TO THE STATISTICAL ERROR.

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Total Neutrino and Anti-neutrino Charged Current Cross-section Measurements in 100-{GeV}, 160-{GeV} and 200-{GeV} Narrow Band Beams

Berge, J.P. ; Blondel, A. ; Bockmann, P. ; et al.
Z.Phys.C 35 (1987) 443, 1987.
Inspire Record 246156 DOI 10.17182/hepdata.15709

Neutrino and antineutrino total charged current cross sections on iron were measured in the 100, 160, and 200 GeV narrow band beams at the CERN SPS in the energy range 10 to 200 GeV. Assuming σ/E to be constant, the values corrected for non-isoscalarity are σv/E = (0.686 ± 0.019) * 10−38 cm2/ (GeV · nucleon) and σv/E = (0.339 ± 0.010) * 10−38 cm2/ (GeV·nucleon). Between 50 and 150 GeV no energy dependence of σ/E was observed within ±3% for neutrino and ±4% for antineutrino interactions.

5 data tables

Measured charged current total cross section.

Measured charged current total cross section.

No description provided.

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Study of D*+ production in nu/mu charged current interactions in the NOMAD experiment.

The NOMAD collaboration Astier, P. ; Autiero, D. ; Baldisseri, A. ; et al.
Phys.Lett.B 526 (2002) 278-286, 2002.
Inspire Record 567771 DOI 10.17182/hepdata.49701

A search was made among ν μ charged current events collected in the NOMAD experiment for the reaction: ν μ +N→μ − +D ★+ + hadrons ↪ D 0 +π + ↪ K − +π + . A high purity D ★+ sample composed of 35 events was extracted. The D ★+ yield in ν μ charged current interactions was measured to be T =(0.79±0.17(stat.)±0.10(syst.))%. The mean fraction of the hadronic jet energy taken by the D ★+ is 0.67±0.02(stat.)±0.02(syst.). The distributions of the fragmentation variables z, P T 2 and x F for D ★+ are also presented.

5 data tables

Distribution in Feynman X.

Distribution in transverse momentum.

Distribution in fractional energy Z.

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Study of D*+ and search for D**0 production by neutrinos in BEBC

The Big Bubble Chamber Neutrino collaboration Asratvan, A.E. ; Aderholz, M. ; Ammosov, V.V. ; et al.
Z.Phys.C 68 (1995) 43-46, 1995.
Inspire Record 395454 DOI 10.17182/hepdata.47928

Data from BEBC experiments are combined to provide large statistics for neutrino interactions. ChargedD* mesons are produced in (1.22±0.25)% of neutrino and (1.01±0.31)% of antineutrino charged current interactions. The mean fraction of the hadronic laboratory energy taken by theD*+ in these events is 0.59±0.03±0.08. Less than 18% of all chargedD* mesons from (anti)neutrino interactions are found to be daughters ofD**0 (at the 90% confidence level).

4 data tables

Mean fractional hadronic energy carried by the D*+- in the laboratory system.

Mean value of the Bjorken scaling variable X.

Rate of charged D* meson production per charged current neutrino interaction.

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A first measurement of low x low Q**2 structure functions in neutrino scattering.

The CCFR & NuTeV collaborations Fleming, Bonnie T. ; Adams, T. ; Alton, A. ; et al.
Phys.Rev.Lett. 86 (2001) 5430-5433, 2001.
Inspire Record 537572 DOI 10.17182/hepdata.19408

A new structure function analysis of CCFR deep inelastic nu-N and nubar-N scattering data is presented for previously unexplored kinematic regions down to Bjorken x=0.0045 and Q^2=0.3 GeV^2. Comparisons to charged lepton scattering data from NMC and E665 experiments are made and the behavior of the structure function F2_nu is studied in the limit Q^2 -> 0.

1 data table

F2 measurements.


Measurement of xF3 and F2 structure functions in low Q**2 region with the IHEP-JINR neutrino detector.

The IHEP-JINR Neutrino Detector collaboration Sidorov, A.V. ; Anykeev, V.B. ; Batusov, Y.A. ; et al.
Eur.Phys.J.C 10 (1999) 405-408, 1999.
Inspire Record 500337 DOI 10.17182/hepdata.43397

The isoscalar structure functions $xF_3$ and $F_2$ are measured as functions of $x$ averaged over all $Q^2$ permissible for the range of 6 to 28 GeV of incident neutrino (anti-neutrino) energy at the IHEP-JINR Neutrino Detector. The QCD analysis of $xF_3$ structure function provides $\Lambda_{\bar{MS}}^{(4)} = (411 \pm 200)$ MeV under the assumption of QCD validity in the region of low $Q^2$. The corresponding value of the strong interaction constant $\alpha_S (M_Z) = 0.123^{+0.010}_{-0.013}$ agrees with the recent result of the CCFR collaboration and with the combined LEP/SLC result.

2 data tables

No description provided.

No description provided.


Experimental Study of Differential Cross-sections in Charged Current Neutrino and Anti-neutrinos Interactions

The CHARM collaboration Jonker, M. ; Panman, J. ; Udo, F. ; et al.
Phys.Lett.B 109 (1982) 133-140, 1982.
Inspire Record 168613 DOI 10.17182/hepdata.6668

Inclusive neutrino and antineutrino charged-current interactions were studied using the electronic detector of the CHARM Collaboration exposed to the narrow-band beam of the CERN SPS. The relative contributions of quarks and antiquarks to the neutrino cross sections were deduced from the differential cross sectionsdσ/d y . The x and Q 2 dependence of the structure functions F 2 and F 3 were measured. Scaling violations were observed, in qualitative agreement with QCD. A value of the mass scale parameter of QCD,Λ = [0.29 ± 0.12 (stat.) ± 0.10 (syst.)] GeV, was deduced in a leading-order approximation, following the method of Buras and Gaemers.

7 data tables

No description provided.

No description provided.

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A high statistics search for nu/mu (anti-nu/mu) --> nu/e (anti-nu/e) oscillations in the small mixing angle regime.

The CCFR/NuTeV collaboration Romosan, A. ; Arroyo, C.G. ; de Barbaro, L. ; et al.
Phys.Rev.Lett. 78 (1997) 2912-2915, 1997.
Inspire Record 426120 DOI 10.17182/hepdata.41667

Limits on $\nu_\mu (\overline{\nu}_\mu) \to \nu_e (\overline{\nu}_e)$ oscillations based on a statistical separation of $\nu_e N$ charged current interactions in the CCFR detector at Fermilab are presented. $\nu_e$ interactions are identified by the difference in the longitudinal shower energy deposition pattern of $\nu_e N \rightarrow eX$ versus $\nu_\mu N \to \nu_\mu X$ interactions. Neutrino energies range from 30 to 600 GeV with a mean of 140 GeV, and $\nu_\mu$ flight lengths vary from 0.9 km to 1.4 km. The lowest 90% confidence upper limit in $sin^2 2\alpha$ of $1.1 \times 10^{-3}$ is obtained at $\Delta m^2 \sim 300 eV^2$. For $sin^2 2\alpha = 1$, $\Delta m^2 > 1.6 eV^2$ is excluded, and for $\Delta m^2 \gg 1000 eV^2$, $sin^2 2\alpha > 1.8 \times 10^{-3}$ is excluded. This result is the most stringent limit to date for $\Delta m^2 > 25 eV^2$ and it excludes the high $\Delta m^2$ oscillation region favoured by the LSND experiment. The $\nu_\mu$-to-$\nu_e$ cross-section ratio was measured as a test of $\nu_\mu (\bar\nu_\mu) \leftrightarrow \nu_e (\bar\nu_e)$ universality to be $1.026 \pm 0.055$.

2 data tables

ALPHA is the neutrino mixing angle. The result for SIN(ALPHA)**2 from the fit at each Delta(M)**2 for NUMU -->NUE oscillations. The 90% CL upper limit is equal to the best fit SIN(ALPHA)**2 + 1.2*SIGMA.

No description provided.


Measurement of Rates for Muonless Deep Inelastic Neutrino and anti-neutrino Interactions

Aubert, Bernard ; Benvenuti, A.C. ; Cline, D. ; et al.
Phys.Rev.Lett. 32 (1974) 1457, 1974.
Inspire Record 1123 DOI 10.17182/hepdata.21890

Relative rates for deep inelastic neutrino and antineutrino scattering without a finalstate muon have been measured. For neutrinos the result is Rν=σ(νμ+nucleon→νμ+hadrons)σ(νμ+nucleon→μ−+hadrons)=0.11±0.05. The corresponding ratio for antineutrinos is Rν¯=0.32±0.09.

1 data table

No description provided.


Further observation of muonless neutrino-induced inelastic interactions.

Aubert, Bernard ; Benvenuti, A.C. ; Cline, D. ; et al.
Phys.Rev.Lett. 32 (1974) 1454-1457, 1974.
Inspire Record 882 DOI 10.17182/hepdata.21934

We report here additional positive results of a search for muonless neutrino- and anti-neutrino-induced events using an enriched antineutrino beam and a muon identifier of relatively high geometric detection efficiency. The ratio of muonless to muon event rates is observed to be R=0.20±0.05. We observe no background derived from ordinary neutrino or antineutrino interactions that is capable of explaining the muonless signal.

1 data table

No description provided.


Measurements of Muon-neutrino n and anti-Muon-neutrino n Charged Current Total Cross-Sections

Barish, B.C. ; Bartlett, J.F. ; Bodek, A. ; et al.
Phys.Rev.Lett. 39 (1977) 1595, 1977.
Inspire Record 5994 DOI 10.17182/hepdata.50102

Measurements of flux-normalized neutrino and antineutrino total charged-current cross sections (σ) in the energy range 45<E<205 GeV are presented. We see no evidence for the anomalous sharp rise in σν¯σν reported by earlier authors. The neutrino cross section rises linearly with energy and with σE about 18% smaller than other measurements below 10 GeV. The average antineutrino slope at 55 GeV is consistent with measurements at low energy; however, a (20 ± 10)% increase is indicated over our energy range.

3 data tables

No description provided.

No description provided.

No description provided.