Measurement of Exclusive $\pi^{+}\pi^{-}$ and $\rho^0$ Meson Photoproduction at HERA

The H1 collaboration Andreev, V. ; Baghdasaryan, A. ; Baty, A. ; et al.
Eur.Phys.J.C 80 (2020) 1189, 2020.
Inspire Record 1798511 DOI 10.17182/hepdata.102569

Exclusive photoproduction of $\rho^0(770)$ mesons is studied using the H1 detector at the $ep$ collider HERA. A sample of about 900000 events is used to measure single- and double-differential cross sections for the reaction $\gamma p \to \pi^{+}\pi^{-}Y$. Reactions where the proton stays intact (${m_Y{=}m_p}$) are statistically separated from those where the proton dissociates to a low-mass hadronic system ($m_p{<}m_Y{<}10$ GeV). The double-differential cross sections are measured as a function of the invariant mass $m_{\pi\pi}$ of the decay pions and the squared $4$-momentum transfer $t$ at the proton vertex. The measurements are presented in various bins of the photon-proton collision energy $W_{\gamma p}$. The phase space restrictions are $0.5 < m_{\pi\pi} < 2.2$ GeV, ${\vert t\vert < 1.5}$ GeV${}^2$, and ${20 < W_{\gamma p} < 80}$ GeV. Cross section measurements are presented for both elastic and proton-dissociative scattering. The observed cross section dependencies are described by analytic functions. Parametrising the $m_{\pi\pi}$ dependence with resonant and non-resonant contributions added at the amplitude level leads to a measurement of the $\rho^{0}(770)$ meson mass and width at $m_\rho = 770.8\ {}^{+2.6}_{-2.7}$ (tot) MeV and $\Gamma_\rho = 151.3\ {}^{+2.7}_{-3.6}$ (tot) MeV, respectively. The model is used to extract the $\rho^0(770)$ contribution to the $\pi^{+}\pi^{-}$ cross sections and measure it as a function of $t$ and $W_{\gamma p}$. In a Regge asymptotic limit in which one Regge trajectory $\alpha(t)$ dominates, the intercept $\alpha(t{=}0) = 1.0654\ {}^{+0.0098}_{-0.0067}$ (tot) and the slope $\alpha^\prime(t{=}0) = 0.233\ {}^{+0.067 }_{-0.074 }$ (tot) GeV${}^{-2}$ of the $t$ dependence are extracted for the case $m_Y{=}m_p$.

28 data tables

Elastic ($m_Y=m_p$) and proton-dissociative ($1<m_Y<10$ GeV) $\pi^{+}\pi^{-}$ photoproduction off protons, differential in the dipion mass. The tabulated cross sections are $\gamma p$ cross sections but can be converted to $ep$ cross sections using the effective photon flux $\Phi_{\gamma/e}$.

Elastic ($m_Y=m_p$) and proton-dissociative ($1<m_Y<10$ GeV) $\pi^{+}\pi^{-}$ photoproduction off protons, differential in the dipion mass --- statistical correlations coefficients $\rho_{ij}$ only. Only one half of the (symmetric) matrix is stored. Bins are identified by their global bin number.

Fit of elastic ($m_Y=m_p$) and proton-dissociative ($1<m_Y<10$ GeV) $\pi^{+}\pi^{-}$ photoproduction cross section off protons with a Soeding-inspired analytic function including $\rho$ and $\omega$ meson resonant contributions as well as a continuum background which interfere at the amplitude level. Parameters with subscript "el" and "pd" correspond to elastic and proton-dissociative cross sections, respectively.

More…

Measurement of the I=1/2 $K \pi$ $\mathcal{S}$-wave amplitude from Dalitz plot analyses of $\eta_c \to K \bar K \pi$ in two-photon interactions

The BaBar collaboration Lees, J.P. ; Poireau, V. ; Tisserand, V. ; et al.
Phys.Rev.D 93 (2016) 012005, 2016.
Inspire Record 1403544 DOI 10.17182/hepdata.76968

We study the processes $\gamma \gamma \to K^0_S K^{\pm}\pi^{\mp}$ and $\gamma \gamma \to K^+ K^- \pi^0$ using a data sample of 519~$fb^{-1}$ recorded with the BaBar detector operating at the SLAC PEP-II asymmetric-energy $e^+ e^-$ collider at center-of-mass energies at and near the $\Upsilon(nS)$ ($n = 2,3,4$) resonances. We observe $\eta_c$ decays to both final states and perform Dalitz plot analyses using a model-independent partial wave analysis technique. This allows a model-independent measurement of the mass-dependence of the $I=1/2$ $K \pi$ $\mathcal{S}$-wave amplitude and phase. A comparison between the present measurement and those from previous experiments indicates similar behaviour for the phase up to a mass of 1.5 $GeV/c^2$. In contrast, the amplitudes show very marked differences. The data require the presence of a new $a_0(1950)$ resonance with parameters $m=1931 \pm 14 \pm 22 \ MeV/c^2$ and $\Gamma=271 \pm 22 \pm 29 \ MeV$.

2 data tables

Measured amplitude and phase values for the $I=1/2$ $K \pi$ $\mathcal{S}$-wave as functions of mass obtained from the Model Independent Partial Wave Analysis (MIPWA) of $\eta_c \to K^0_{\scriptscriptstyle S} K^{\pm}\pi^{\mp}$. The amplitudes and phases in the mass interval 14 are fixed to constant values.

Measured amplitude and phase values for the $I=1/2$ $K \pi$ $\mathcal{S}$-wave as functions of mass obtained from the Model Independent Partial Wave Analysis (MIPWA) of $\eta_c \to K^+ K^- \pi^0$. The amplitudes and phases in the mass interval 14 are fixed to constant values.


Study of the Reactions $\pi^- p \to K^0 \Sigma^0(1385)$ and $\pi^- p \to K^+ \Sigma^-(1385)$ at 3.95-{GeV}/$c$

The CERN-College de France-Madrid-Stockholm collaboration Aguilar-Benitez, M. ; Albajar, M.C. ; Ferrando, A. ; et al.
Z.Phys.C 6 (1980) 109-123, 1980.
Inspire Record 153921 DOI 10.17182/hepdata.14369

The reactionsπ−p→K0∑0(1385) andπ−p→K+∑−(1385) are studied at an incident momentum of 3.95 GeV/c using data from a high statistics bubble chamber experiment corresponding to approximately 90 events/μb. The total and differential cross sections and the density matrix elements of the Σ(1385) are presented. The results are compared with those obtained for the related processesπpp→K+∑+(1385) and\(K^ -p \to \pi ^ \mp\sum ^ \pm(1385)\) in this energy range. Evidence is presented for the existence of production mechanisms with exotic exchanges in thet channel.

16 data tables

FROM THE CHANNEL PI- P --> LAMBDA K0 PI0 WHICH HAS A CROSS SECTION OF 72 +- 4 MUB.

FROM THE CHANNEL PI- P --> LAMBDA K+ PI- WHICH HAS A CROSS SECTION OF 79 +- 3 MUB.

FORWARD CROSS SECTION.

More…

Study of the Reactions $\pi^- p \to K^0(890)\Lambda$, $K^0(890) \Sigma^0$ and $K^0(890) \Sigma^0(1385)$ at 3.95-{GeV}/$c$

The CERN-College de France-Madrid-Stockholm collaboration Aguilar-Benitez, M. ; Albajar, M.C. ; Ferrando, A. ; et al.
Z.Phys.C 6 (1980) 195-215, 1980.
Inspire Record 153917 DOI 10.17182/hepdata.1428

The reactionsπ−p→K0(890) Λ,K0(890)Σ0 andK0(890)Σ0 are studied at an incident momentum of 3.95 GeV/c using data from a high statistics bubble chamber experiment corresponding to ∼90 events/μb. The differential cross sections, density matrix elements of the vector meson and hyperon polarizations are presented. A transversity amplitude analysis is performed for each of the reactions. The results are compared with those obtained for the SU(3) related processesK−p→ϕΔ, ϕΣ0, ϕΣ0(1385) andϱ−Σ+(1385) and with predictions of the additive quark model and SU(6) sum rules.

39 data tables

BREIT-WIGNER FIT WITH BACKGROUND POLYNOMIAL.

BACKWARD CROSS SECTION.

TOTAL CROSS SECTION USING SLICING TECHNIQUE. FORWARD (-TP < 1.2 GEV**2) CROSS SECTION IS 25 +- 2 MUB: DOUBLE MASS CUT GIVES 20 +- 7 PCT BACKGROUND CONTAMINATION.

More…

Observation of k(l) - k(s) regeneration from liquid hydrogen. aachen-cern-turin collaboration,

Darriulat, P. ; Grosso, C. ; Holder, M. ; et al.
Phys.Lett.B 33 (1970) 433-437, 1970.
Inspire Record 69387 DOI 10.17182/hepdata.28718

The K L K S transmission regeneration of a K L beam traversing a liquid hydrogen target has been observed over the momentum interval 3.0–6.0 GeV/ c . Results are in good agreement with predictions based on dispersion relations.

2 data tables

Regeneration amplitude.

No description provided.


Diffractive Electroproduction of rho and phi Mesons at HERA

The H1 collaboration Aaron, F.D. ; Aldaya Martin, M. ; Alexa, C. ; et al.
JHEP 05 (2010) 032, 2010.
Inspire Record 835609 DOI 10.17182/hepdata.56191

Diffractive electroproduction of rho and phi mesons is measured at HERA with the H1 detector in the elastic and proton dissociative channels. The data correspond to an integrated luminosity of 51 pb^-1. About 10500 rho and 2000 phi events are analysed in the kinematic range of squared photon virtuality 2.5 &lt; Q^2 &lt; 60 GeV^2, photon-proton centre of mass energy 35 &lt; W &lt; 180 GeV and squared four-momentum transfer to the proton |t| &lt; 3 GeV^2. The total, longitudinal and transverse cross sections are measured as a function of Q^2, W and |t|. The measurements show a transition to a dominantly "hard" behaviour, typical of high gluon densities and small q\bar{q} dipoles, for Q^2 larger than 10 to 20 GeV^2. They support flavour independence of the diffractive exchange, expressed in terms of the scaling variable (Q^2 + M_V^2)/4, and proton vertex factorisation. The spin density matrix elements are measured as a function of kinematic variables. The ratio of the longitudinal to transverse cross sections, the ratio of the helicity amplitudes and their relative phases are extracted. Several of these measurements have not been performed before and bring new information on the dynamics of diffraction in a QCD framework. The measurements are discussed in the context of models using generalised parton distributions or universal dipole cross sections.

108 data tables

Q**2 dependence of the GAMMA* P elastic RHO0 meson production at mean W There is an additional overall normalization uncertainty of 3.9 PCT.

Q**2 dependence of the GAMMA* P cross section for proton dissociative RHO0 meson production at mean W There is an additional overall normalization uncertainty of 4.6 PCT.

Q**2 dependence of the GAMMA* P elastic PHI meson production at mean W There is an additional overall normalization uncertainty of 4.7 PCT.

More…

Angular dependence of k-l k-s regenerative scattering for copper and lead nuclei at high energies

Foeth, H. ; Holder, M. ; Radermacher, E. ; et al.
Phys.Lett.B 31 (1970) 544-548, 1970.
Inspire Record 63172 DOI 10.17182/hepdata.28805

Elastic and inelastic K L  S regenerative scattering on copper and lead nuclei have been observed up to a momentum transfer of 0.17 GeV/ c . The elastic differential cross-section is of a ”diffractive” type. It can be described successfully in terms of an optical model only assuming an appreciable neutron excess in the vicinity of the nuclear surface.

2 data tables

No description provided.

No description provided.


Evidence for Two Pseudoscalar Resonances of $\eta \pi^+ \pi^-$ System in the $D(1285)$ and $e$ / Iota Regions

Ando, A. ; Inaba, S. ; Inagaki, T. ; et al.
Phys.Rev.Lett. 57 (1986) 1296, 1986.
Inspire Record 229782 DOI 10.17182/hepdata.20226

High-statistics data on the reaction π−p→ηπ+π−n at 8.06 GeV/c were obtained. An isobarmodel partial-wave analysis was performed for the ηππ system. The η(1275) meson was confirmed as a narrow IJPC=00−+ resonance. It decays through both δπ and εη. A narrow state with IJPC=00−+ was found in an ηππ decay channel at 1.42 GeV. It has a prominent peak in a δπ decay mode. No significant E(1420) signal with IJPC=01++ was found near the mass region of 1.42 GeV.

1 data table

No description provided.


A Measurement of $\pi^- p \to K^0(s$) $K^0(s$) $n$ at 22-{GeV}/$c$ and a Systematic Study of the 2++ Meson Spectrum

Longacre, R.S. ; Etkin, A. ; Foley, K.J. ; et al.
Phys.Lett.B 177 (1986) 223-227, 1986.
Inspire Record 230183 DOI 10.17182/hepdata.30232

A coupled channel analysis has been carried out using a new amplitude analysis of the K 0 s K 0 s system produced in the reaction π − p→K 0 s K 0 s n at 22 GeV/ c , which contained about 40 000 new events in the low- t region (| t − t min |<0.1 GeV 2 ). Here only the I G =0 + , J PC =2 ++ amplitude from this analysis is considered, together with available data from other experiments in channels with the same quantum numbers in order to determine which 2 ++ isoscalar mesons have significant pseudoscalar-pseudoscalar couplings. It is found that four poles, f(1270), f'(1525), θ(1690), and f r (1810), are needed, plus a smooth background in order to fit these data; the need for the θ(1690) depends on the J/ψ radiative decay alone, and the f r (1810) is seen only in hadronic production.

1 data table

No description provided.


Partial Wave Analysis of Coherent 3 $\pi$ Production on Nuclei at 200-{GeV}

Zielinski, M. ; Berg, D. ; Chandlee, C. ; et al.
Phys.Rev.D 30 (1984) 1855, 1984.
Inspire Record 15136 DOI 10.17182/hepdata.23674

We have carried out a partial-wave analysis (PWA) of three-pion systems produced in the coherent dissociation of π+ mesons on nuclear targets. The data have been analyzed for copper and lead targets at an incident π+ energy of 202.5 GeV. This PWA provides further evidence for resonant contributions to JP=1+ and 0− waves at 3π masses below 1.5 GeV, which can be plausibly identified with A1 and π′ mesons. The contribution from electromagnetic production of the A2 has also been extracted, and an estimate for Coulomb production and radiative width of the A1 has been obtained.

1 data table

No description provided.


THE REACTION P P ---> (LAMBDA0 K+) P AT 50-GEV/C AND 30-GEV/C: PARTIAL WAVE ANALYSIS, DECK MODEL AND DOUBLE REGGE EXCHANGE

Cleland, W.E. ; Delfosse, A. ; Dorsaz, P.-A. ; et al.
Nucl.Phys.B 239 (1984) 27-51, 1984.
Inspire Record 205379 DOI 10.17182/hepdata.33884

We have obtained a sample of 20 465 (2201) events in the channel pp→ ( Λ 0 K + )p at 50 (30) GeV/ c incident momentum with Geneva-Lausanne spectrometer at the CERN SPS. In this analysis we investigate: 1. (i) the production of N ∗ (I = 1 2 ) states in the mass region 1.6 ⩽ M ( Λ 0 K + ) ⩽ 2.6 GeV and momentum transfer 0.06 ⩽ | t | 1.0 (GeV/ c ) 2 , by studing the amplitudes and phases from a moment analysis of the decay angular distribution; 2. (ii) the contribution of the K-exchange Deck model for M ( Λ 0 K + < 2.22 GeV; 3. (iii) the double Regge exchange phenomenology for s Λ 0 K + > 5 GeV 2 and s Λ 0 K + p > 5 GeV 2 .

3 data tables

No description provided.

No description provided.

No description provided.


A Test of the Optical Theorem

Eberhard, P.H. ; Tripp, R.D. ; Declais, Y. ; et al.
Phys.Lett.B 53 (1974) 121-124, 1974.
Inspire Record 90454 DOI 10.17182/hepdata.27919

Forward differential cross sections for π − p elastic scattering at 1.0, 1.5 and 2.0 GeV/ c show that the square of the imaginary parts of the nuclear scattering agrees with the optical theorem prediction within ±3%, when averaged over the three momenta.

1 data table

No description provided.


A Study of the Reactions $K^0_L p \to K^0_S p$, $\Lambda \pi^+$, $\Sigma^0 \pi^+$ and $\Lambda \pi^+ \pi^0$ Near 550-{MeV}/$c$

Engler, A. ; Keyes, G. ; Kraemer, R.W. ; et al.
Phys.Rev.D 18 (1978) 3061, 1978.
Inspire Record 6591 DOI 10.17182/hepdata.24324

We present measurements of the differential and polarization cross sections for the reactions KL0p→Ks0p, Λπ+, Σ0π+, and Λπ+π0 made in a hydrogen bubble chamber exposed to a beam of KL0 with incident momentum 550±35 MeV/c. The quasielastic data imposes additional constraints on the partial-wave analyses of the KN and K¯N systems. Our data show no strong energy-dependent effects in the region of the reported Σ(1580), JP=32− state. The phase of the forward regeneration amplitude was found to be about - 160° independent of KL0 momentum.

8 data tables

SYSTEMATIC ERRORS INCLUDED.

ROUGH FIT - POSSIBLY OTHER SYSTEMATIC ERRORS.

No description provided.

More…

Differential and Channel Cross-sections for the Reactions $K^0_L P \to K^0_S P$ and $K^0_L P \to \Lambda^0 \pi^+$ in the Center-of-mass Energy Range 1605-{MeV} to 1910-{MeV}

Corden, M.J. ; Cox, G.F. ; Kelsey, D.P. ; et al.
Nucl.Phys.B 155 (1979) 13-38, 1979.
Inspire Record 7734 DOI 10.17182/hepdata.34677

The differential and channel cross sections have been measured for the reactions K L 0 p → K S 0 p and K L 0 p → Λ 0 π + in nine energy intervals in the c.m. range 1605 to 1910 MeV. The regeneration reaction is a combination of the KN amplitudes (with I = 0 and 1) and the K N amplitude ( I = 1) and is very sensitive to the various KN phase-shift solutions, some of which show an exotic I = 0, P 1 resonance. Our results have been expressed in terms of frequency distributions and cross sections, normalised by the Λ 0 π + reaction. These results have been compared with the predictions of various partial-wave analyses. Qualitatively we can eliminate the P 1 non-resonant solution, though no solution correctly predicts our results.

22 data tables

No description provided.

No description provided.

No description provided.

More…

K0(L) K0(S) TRANSMISSION REGENERATION ON DEUTERONS AND NEUTRONS IN A MOMENTUM RANGE OF 10-GEV/C - 50-GEV/C

The BERLIN-BUDAPEST-DUBNA-PRAGUE-SERPUKHOV-SOFIYA-TBILISI collaboration Albrecht, K.-F. ; Birulev, V.K. ; Genchev, V. ; et al.
Nucl.Phys.B 158 (1979) 29-38, 1979.
Inspire Record 145094 DOI 10.17182/hepdata.34627

The energy dependence of the K L 0 -K S 0 transmission regeneration amplitudes on deuterons and neutrons in the momentum region 10–50 GeV/ c is determined. The moduli of the modified transmission amplitudes are momentum dependent. These dependences are fitted by the expression A j p − nj , where A j and n j ( j = d, n) are constants: A d =2.88 ±0.04 mb , n d =0.546±0.030, for deuterons , A n =1.97 ±0.14 mb , n n =0.530±0.019, for neutrons , The amplitude phases do not depend on the kaon momentum and are equal to ϕ d = (−130.9 ± 2.7)° ϕ n = (−132.3 ± 1.7)°. The mean value of the ratio of the total cross-section differences for K 0 and K 0 interactions with neutrons and protons is determined. The residues of the partial ω and ϱ amplitudes, which contribute to the kaon-nucleon interaction amplitudes, are also obtained.

2 data tables

FORWARD CROSS SECTION, AMPLITUDE AND PHASE FOR K0 REGENERATION.

(AK0 - K0) TOTAL CROSS SECTION DIFFERENCES.


Neutral Kaon Regeneration on Carbon in a Momentum Region of 16-GeV/c-40-GeV/c

The BERLIN-BUDAPEST-DUBNA-PRAGUE-SERPUKHOV-SOFIA collaboration Albrecht, K.-F. ; Birulev, V.K. ; Deak, F. ; et al.
Nucl.Phys.B 93 (1975) 237-241, 1975.
Inspire Record 103340 DOI 10.17182/hepdata.32006

The modulus and the phase of the K L o −K S o regeneration amplitude on carbon have been measured. In a momentum range of 16–40 GeV/ c the phase is constant within experimental error bars and coincides with the regeneration phase on hydrogen. Both the modulus and the phase of the regeneration amplitude on carbon are in agreement with optical model predictions.

1 data table

ASSUMING A CONSTANT PHASE INDEPENDENT OF MOMENTUM, THE CARBON REGENERATION AMPLITUDE HAS A PHASE OF -130 +- 17 DEG.


Coherent $K$(s) Regeneration on Protons From 30-{GeV}/$c$ to 130-{GeV}/$c$

Bock, G.J. ; Aronson, S.H. ; Freudenreich, K. ; et al.
Phys.Rev.Lett. 42 (1979) 350, 1979.
Inspire Record 7461 DOI 10.17182/hepdata.20779

Precise measurements att=0 of the KLp→KSp amplitude (modulus and phase) were made. Over 50000 Kπ2 decays along with normalizing Kμ3 events were detected behind a 7.2-m-long liquid-hydrogen regenerator. The momentum dependence of the modulus and phase are presented, and the results are combined with those of other experiments to extract the relevant parameters of ω exchange.

2 data tables

RESULTS USING ETA+- = 2.15E-3.

RESULTS USING ETA+- = 2.27E-3.


Study of Hypercharge Exchange Reactions of the Type K- p --> 1- 3/2+- at 4.2-GeV/c

The Amsterdam-CERN-Nijmegen-Oxford collaboration Aguilar-Benitez, M. ; Barreiro, F. ; Hemingway, R.J. ; et al.
Nucl.Phys.B 124 (1977) 189-228, 1977.
Inspire Record 101289 DOI 10.17182/hepdata.50024

Results are presented for the quasi two-body hypercharge exchange reactions of the type using data from a high statistics bubble chamber experiment. Total and differential cross sections and the momentum transfer dependence of the meson and hyperon resonance single density matrix elements are discussed. Amplitude analyses are performed for the first two reactions. The results are compared with quark model and duality predictions and with those from other related reactions.

20 data tables

No description provided.

No description provided.

No description provided.

More…

K0(L) K0(s) Transmission Regeneration on Hydrogen

The Budapest-Dubna-Prague-Serpukhov collaboration Birulev, V.K. ; Genchev, V. ; Govorun, N.N. ; et al.
Nucl.Phys.B 115 (1976) 249-268, 1976.
Inspire Record 3964 DOI 10.17182/hepdata.35585

The energy dependence of the modulus and phase of the K L 0 -K S 0 regeneration amplitude on hydrogen in the range of 14–50 GeV has been investigated at the Serpukhov 70 GeV accelerator. It has been established that the modulus of the modified regeneration amplitude decreases with increasing momentum as 2|ƒ 21 0 (p)|/k = (0.84 ± 0.42) · p −0.50±0.15 mb . The amplitude phase is energy-independent and its mean value is ϕ 21 0 = −132° ± 5°. The results obtained are compared with other experiments and with predictions of different theoretical models.

1 data table

TABLE ALSO CALCULATES FORWARD DIFFERENTIAL CROSS SECTION AND SIG(AK0 P) - SIG(K0 P) TOTAL CROSS SECTION DIFFERENCES.


Coherent Regeneration of $K_s$'s by Carbon as a Test of Regge Pole Exchange Theory

Roehrig, J. ; Gsponer, A. ; Molzon, W.R. ; et al.
Phys.Rev.Lett. 38 (1977) 1116, 1977.
Inspire Record 5134 DOI 10.17182/hepdata.21018

A measurement of the coherent regeneration amplitude in carbon in the energy range 30-130 GeV is presented. The results are consistent with the dominance of this process by ω exchange, and a precise value of the intercept of the ω trajectory is obtained: αω(0)=0.390±0.014.

1 data table

No description provided.


K0(L) p --> K0(s) p Scattering in the 1.5-GeV-2.3-GeV Energy Region

Alexander, G. ; Bar-Nir, I. ; Benary, O. ; et al.
Phys.Lett.B 58 (1975) 484-488, 1975.
Inspire Record 2246 DOI 10.17182/hepdata.27761

The K L o p → K S o p differential and total cross-section and the forward scattering amplitude phase φ have been measured in the 1.5 to 2.3 GeV centre of mass energy range. The data is compared with predictions based on recent K ± N phase shift solutions. Best agreement is found for K + N solutions which do not warrant an I=0 P 1 2 exotic Z ∗ o (1800) baryon.

2 data tables

No description provided.

No description provided.