Recent results on the deuteron analyzing powers in dp- elastic scattering obtained at Nuclotron (JINR, Dubna) are compared with the calculations performed within relativistic multiple scattering model. The data demonstrate strong deviation form the predictions at large angles in the cm

Gurchin, Yu. V.

Isupov, A. Yu.

Ladygin, V. P.

Piyadin, S. M.

Ryabchuk, V. V.

Terekhin, A. A.

Vasiliev, T. A.

Vnukov, I. E.

DSpace at Belgorod State University

Few-Body Syst 55:709–712DOI 10.1007/s00601-014-0804-8V. P. Ladygin · Yu. V. Gurchin · S. M. Piyadin · A. A. Terekhin · A. Yu. Isupov · M. JanekJ.-T. Karachuk · A. N. Khrenov · V. A. Krasnov · A. K. Kurilkin · P. K. Kurilkin · N. B. LadyginaA. N. Livanov · G. Martinska · V. L. Rapatsky · S. G. Reznikov · V. V. Ryabchuk · B. TrpišováT. A. Vasiliev · I. E. VnukovFew-body Studies at Nuclotron-JINRReceived: 18 October 2013 / Accepted: 7 January 2014 / Published online: 20 January 2014© Springer-Verlag Wien 2014Abstract Recent results on the deuteron analyzing powers in dp- elastic scattering obtained at Nuclotron(JINR, Dubna) are compared with the calculations performed within relativistic multiple scattering model.The data demonstrate strong deviation form the predictions at large angles in the cms. The preliminary data onthe energy dependence of the cross section in the dp → ppn reaction at 150–250 MeV/nucleon for differentconfigurations and dp elastic scattering up to 1 GeV obtained at internal target station at Nuclotron are reported.The prospects of the further few-body studies at JINR are discussed.1 IntroductionThe main goal of the Deuteron Spin Structure (DSS) experimental program is to obtain the information on thespin—dependent parts of two-nucleon (2N ) and three-nucleon (3N ) forces from two processes: dp- elasticscattering in a wide energy range and dp- nonmesonic breakup with two protons detection at energies 300–500 MeV. The motivation of this program is based on theoretical analysis of the experimental results obtainedat low and intermediate energies for the deuteron induced reactions (see recent review [1] and referencestherein).Such experimental program at Nuclotron was started by the measurements of the vector Ay and tensor Ayyand Axx analyzing powers in dp- elastic scattering at Td of 880 MeV [2] and 2,000 MeV [3]. The calculationsV. P. Ladygin (B) · Yu. V. Gurchin · S. M. Piyadin · A. A. Terekhin · A. Yu. Isupov · M. Janek · J.-T. Karachuk ·A. N. Khrenov · V. A. Krasnov · A. K. Kurilkin · P. K. Kurilkin · N. B. Ladygina · A. N. Livanov · V. L. Rapatsky ·S. G. Reznikov · T. A.VasilievJoint Institute for Nuclear Research, 141980 Dubna, RussiaE-mail: vladygin@jinr.ruPresent address:M. JanekPhysics Department, University of Ž ilina, 010 26 Zilina, Slovak RepublicB. TrpišováPhysics Department, University of Ž ilina, 010 26 Zilina, Slovak RepublicJ.-T. KarachukNational Institute for Research and Development in Electrical Engineering ICPE-CA, 030138 Bucharest, RomaniaG. MartinskaP.-J. Shafarik University, 041 80 Kosice, Slovak RepublicV. V. Ryabchuk · I. E. VnukovPhysics Department, Belgorod State National Research University, 308015 Belgorod, Russia710 V. P. Ladygin et al.performed within relativistic multiple scattering model [4] describes the data on the vector analyzing powerAy . However, there are the problems in the description of the tensor analyzing powers at large angles in thecms.Here we report the preliminary results on the measurements of the dp- elastic scattering cross section atthe deuteron energies 400–2,000 MeV, and dp- nonmesonic breakup at 300, 400 and 500 MeV obtained atinternal target station at Nuclotron.2 ExperimentThe measurements were performed using internal target station at Nuclotron [5] with new control and dataacquisition system [6]. The 10µm CH2 foil and 8µm carbon wire were used as the targets. The effect on thehydrogen has been obtained using CH2-C subtraction.The detection apparatus for the study of dp- elastic scattering consists of 4 scintillation counters with FEU-85 photomultiplier tubes for the detection of the protons and deuterons in coincidence [7]. The amplitudesof the signals and timing information from the detectors were recorded and used in the further data analysisfor the dp- elastic scattering events selection. The scintillation counters coupled to Hamamatsu H7416MODPMTs having better timing and amplitude resolution than FEU-85 PMTs were used for the measurements atTd >1,000 MeV.The dp → ppn reaction will be investigated using ΔE-E techniques for the detection of both protons.The details of the experimental setup with 8 ΔE-E detectors are given in Ref. [8].3 ResultsThe measurements of the differential cross section of dp- elastic scattering were performed at 400, 500, 600,700, 800, 880, 1,000, 1,300, 1,500 and 2,000 MeV. The results obtained at 880 MeV at Nuclotron are given bythe solid circles in Fig. 1. They are compared with the data obtained at 850 MeV [9] and 940 MeV [10] given byopen circles and triangles, respectively. The dashed and solid lines are the calculation of the relativistic multiplescattering model [11] without and with double scattering taken into account. The model [11] describes thebehaviour of the data, however, some deviation at large scattering angles still remains. It has been demonstratedin Ref. [2] that calculations [12] cannot reproduce the cross section data at the angles larger than 70◦ in the cmSuch deviation cannot be explained by the relativistic effects because they are significant only in the region ofbackward angles and they are small in the region of the differential cross section minimum in the frameworkof Faddeev calculations [13]. Both approaches cannot reproduce the data at the backward scattering angles,where the essential contribution of the Δ-isobar excitation into the differential cross section at high energieswas demonstrated [14]. The agreement between the cross section data and theoretical calculations at the angleslarger than 70◦ in the cm could be improved, if the three-nucleon forces are taking into account. However,theoretical predictions including present 3NF models [12] or an effective 3NF due to explicit Δ-isobar excita-tion [15] underestimate the data at 250 MeV/nucleon by up to 40 %. Therefore, at high energies, the deviationof the both spin observables and cross sections from the theoretical calculations [12,13,15] demonstrates theFig. 1 The differential cross section of dp- elastic scattering obtained at 880 MeV at Nuclotron (solid circles), at 850 MeV [9](open circles) and at 940 MeV [10] (open triangles). The lines are explained in the textFew-body Studies at Nuclotron-JINR 711Fig. 2 The differential cross section of dp- elastic scattering at 2,000 MeV: ANL data [16] (open circles) and preliminaryNuclotron data (solid squares)  (MeV)1E40 60 80 100 120 140 160  (MeV)2E20406080100Fig. 3 The dp → ppn reaction at Td =400 MeV (θ1=25◦, θ2=33.7◦ and φ=44.6◦)deficiencies of the present 3NF models and relativistic description of the dp -elastic scattering process. Thismight indicate that additional short-range 3N forces should be added to the 2π -exchange type forces [13].The preliminary data on the differential cross section of dp- elastic scattering obtained at Nuclotron at2,000 MeV and given in Fig. 2 by the solid squares are compared with the data obtained previously at ANL[16] (open circles). The Nuclotron data are normalized to the ANL data at 70◦ in the cms. One can see thereasonable angular behaviour of the relatively normalized Nuclotron data. The final analysis will be based onabsolute normalization to the luminosity.The data for different kinematic configuration for the dp → ppn reaction have been obtained at 300, 400and 500 MeV. The preliminary results for the dp → ppn events selection obtained at Td = 400 MeV for theθ1 = 25◦, θ2 = 33.7◦ and φ = 44.6◦ are presented in Fig. 3. The data analysis is in progress.4 ConclusionsThe data on the analyzing powers in dp- elastic scattering have been measured at internal target stationat theNuclotron at the energies of 880 and 2,000 MeV [2,3].The data on the energy dependence of the dp- elastic scattering cross section have been accumulated at400–2,000 MeV. The data analysis is in progress.The data on dp- nonmesonic breakup have been obtained at 300, 400 and 500 MeV for different kinematicconfigurations.Future studies of the deuteron-induced reactions like dp → pd , dp- breakup, dd →3 H p(3 Hen) andd3 He → p4 He at Nuclotron are related with new polarized ion source developed at LHEP-JINR [17]. Thesenew experimental data and further development in theoretical approaches will be important for adequatedescription of the short-range light nuclei spin structure.712 V. P. Ladygin et al.Project “Baryonic Matter at Nuclotron” [18] will allow to measure spin and polarization effects in a GeVregion with the extracted beams.Acknowledgments The work has been supported in part by the RFBR Grant No.13-02-00101a.References1. Kalantar-Nayestanaki, N., Epelbaum, E., Messchendorp, J.G., Nogga, A.: Signatures of three-nucleon interactions in few-nucleon systems. Rep. Prog. Phys. 75, 016301 (2012)2. Kurilkin, P.K., et al.: Measurement of the vector and tensor analyzing powers for dp- elastic scattering at 880 MeV. Phys.Lett. B715, 61–65 (2012)3. Kurilkin, P.K., et al.: Investigation of the angular dependence of the analyzing powers in the deuteron–proton elastic scatteringat the nuclotron. Phys. Part. Nucl. Lett. 8, 1081–1083 (2011)4. Ladygina, N.B.: Deuteron–proton elastic scattering at intermediate energies. Phys. Atom. Nucl. 71, 2039–2051 (2008)5. Malakhov, A.I., et al.: Potentialities of the internal target station at the Nuclotron. Nucl. Instrum. Methods Phys.Res. A440, 320–329 (2000)6. Isupov, A.Yu., Krasnov, V.A., Ladygin, V.P., Piyadin, S.M., Reznikov, S.G.: The Nuclotron internal target control and dataacquisition system. Nucl. Instrum. Methods Phys. Res. A698, 127–134 (2013)7. Gurchin, Yu.V., et al.: Detection equipment for investigating dp elastic scattering at internal target of nuclotron in theframework of DSS project. Phys. Part. Nucl. Lett. 8, 950–958 (2011)8. Piyadin, S.M., et al.: ΔE-E detector for proton registration in nonmesonic deuteron breakup at the Nuclotron internaltarget. Phys. Part. Nucl. Lett. 8, 107–113 (2011)9. Booth, N.E., et al.: Proton–deuteron elastic scattering at 1.0 GeV/c. Phys. Rev. D4, 1261–1267 (1971)10. Alder, J.C., et al.: Elastic pd scattering at 316, 364, 470, and 590 MeV in the backward hemisphere. Phys. Rev. C6, 2010–2019 (1972)11. Ladygina, N.B.: Differential cross section of dp- elastic scattering at intermediate energies. Eur. Phys. J. A42, 91–96 (2009)12. Witala, H., Glöckle, W., Golak, J., Nogga, A., Kamada, H., Skibinski, R., Kuros-Zolnierczuk, J.: Nd elastic scattering as atool to probe properties of three nucleon forces. Phys. Rev. C63, 024007 (2001)13. Witala, H., Glöckle, W., Golak, J., Kamada, H.: Relativistic effects in neutron–deuteron elastic scattering. Phys.Rev. C71, 054001 (2005)14. Kaptari, L.P., Kämpfer, B., Dorkin, S.M., Semikh, S.S.: Pion exchange effects in elastic backward proton deuteron scatter-ing. Few Body Syst. 27, 189–206 (1999)15. Deltuva, A., Chmielewski, K., Sauer, P.U.: Nucleon–deuteron scattering with delta isobar excitation: Perturbation the-ory. Phys. Rev. C67, 034001 (2003)16. Bennett, G.W., et al.: Proton-deuteron scattering at 1 BeV. Phys. Rev. Lett. 19, 387–390 (1967)17. Fimushkin, V.V., et al.: Source of polarised deuterons. Eur. Phys. J. Special Topics 162, 275–280 (2008)18. Ladygin, V.P.: Study of strange matter production in the heavy ion collisions at NUCLOTRON. In: Proceedings of the 21stInternational Baldin Seminar on High Energy Physics Problems: Relativistic Nuclear Physics and Quantum Chromodynam-ics (ISHEPP 2012), Dubna, Russia, 10–15 September 2012, PoS Baldin-ISHEPP-XXI:038 (2012)

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Few-body Studies at Nuclotron-JINR

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