Ⅱ-1. Nuclear Physics

RIKEN Accel. Prog. Rep. 51 (2018)⃗ elastic scattering
Complete set of deuteron analyzing powers from dp
at 190 MeV/nucleon†
K. Sekiguchi,∗1,∗2 H. Witała,∗3 T. Akieda,∗1 D. Eto,∗1 H. Kon,∗1 Y. Wada,∗1 A. Watanabe,∗1 S. Chebotaryov,∗4
M. Dozono,∗5 J. Golak,∗3 H. Kamada,∗6 S. Kawakami,∗7 Y. Kubota,∗5 Y. Maeda,∗5 K. Miki,∗1 E. Milman,∗4
A. Ohkura,∗8 H. Sakai,∗2 S. Sakaguchi,∗8 N. Sakamoto,∗2 M. Sasano,∗2 Y. Shindo,∗8 R. Skibiński,∗3 H. Suzuki,∗2
M. Tabata,∗8 T. Uesaka,∗2 T. Wakasa,∗8 K. Yako,∗5 T. Yamamoto,∗7 Y. Yanagisawa,∗2 and J. Yasuda∗8

References

1) R. Machleidt, Phys. Rev. C 63, 024001 (2001);
R. B. Wiringa et al., ibid. 51, 38 (1995); V. G. J. Stoks
et al., ibid. 49, 2950 (1994).
2) S. A. Coon, H. K. Han, Few Body Syst. 30, 131 (2001).
3) B. S. Pudliner et al., Phys. Rev. C 56, 1720 (1997).
4) E. Epelbaum et al., Phys. Rev. Lett. 115, 122301 (2015).
†
∗1
∗2
∗3
∗4
∗5
∗6
∗7
∗8

Condensed from the article in Phys. Rev. C. 96, 064001(2017)
Department of Physics, Tohoku University
RIKEN Nishina Center
Jagiellonian University
Department of Physics, Kyungpook National University
Center for Nuclear Study, University of Tokyo
Kyushu Institute of Technology
Faculty of Engineering, University of Miyazaki
Department of Physics, Kyushu University- 66 -

0.0

E=70 MeV

E=70 MeV

-0.1
-0.2

a)

-0.3
0.0

b)
E=135 MeV

E=135 MeV

-0.1
T22

All the deuteron analyzing powers, iT11 , T21 , T20
and T22 , for elastic deuteron-proton (dp) scattering
have been measured with a polarized deuteron beamat 186.6 MeV/nucleon at the angles in the center ofmass system of θc.m. = 39◦ –165◦ . These data, together
with our previously reported deuteron analyzing powers taken at diﬀerent energies, constitute a solid basis
to guide the theoretical investigations of three-nucleon
forces (3N Fs).
Our new deuteron analyzing powers and the previously measured data at 70 and 135 MeV/nucleon together with the elastic cross section data in the energy
region of interest, are compared with the results of 3N
Faddeev calculations based on the standard nucleon–
nucleon (N N ) potentials1) alone or combined with theTM99 3N F.2) The AV18 N N potential is also combined with the Urbana IX 3N F.3) Parts of the data
are shown in Figs. 1a), c), and e). Predicted 3NF effects localized at backward angles are supported only
partially by the data. The data are also compared to
predictions based on locally regularized chiral N N potentials.4) The N4 LO chiral potential predictions areclose to the semi-phenomenological N N results for themeasured observables. At 190 MeV, the N4 LO N N predictions are generally away from the data. This would
indicate the eﬀects of 3N F contributions that were neglected in our calculations. An estimation of the theoretical truncation uncertainties in the consecutive orders of chiral expansion (Figs. 1b), d), and f)) suggeststhat the observed discrepancies between this modern
theory and the data could probably be explained byincluding chiral 3NF’s in future calculations.

-0.2
-0.3

d)

c)

0.0

E=190 MeV

E=190 MeV

-0.1
-0.2
-0.3

e)

-0.4
0

f)
120
60
θc.m. [deg]

0

120
60
θc.m. [deg]180

Fig. 1. Elastic dp scattering deuteron tensor analyzing
power T22 at incoming nucleon laboratory energies of
E = 70 MeV: a) and b), 135 MeV: c) and d), and
190 MeV: e) and f). In a), c), and e) the blue shadedband indicates predictions of standard N N potentials1)
and the red shaded band indicates predictions when they
are combined with the TM99 3N F. The dashed black
curve represents the prediction of the AV18+Urbana IX
combination. The solid green curve shows predictionof the locally regularized (regulator R = 0.9 fm) N4 LO
chiral potential. In b), d), and f), the estimated theoretical uncertainties at diﬀerent order of chiral expansion
are shown by the bands of increasing width at: N4 LO(blue), N3 LO (magenta), N2 LO (green), and NLO (yellow). The black circles are dp data taken at RIKEN.