Measurement of deeply bound pionic states using the (p, 2 He) - PowerPoint PPT Presentation

Measurement of deeply bound pionic states using the (p, 2 He) reaction at RCNP Akane Sakaue Kyoto University 1

collaborators • Kyoto University : Akane Sakaue, Sakiko Ashikaga, Hiroyuki Fujioka, Tatsuya Furuno, Kento Inaba, Takahiro Kawabata, Shota Matsumoto, Takahiro Morimoto, Motoki Murata, Yu Takahashi, Miho Tsumura, Ken Watanabe • University of Tokyo : Ryugo S. Hayano, Yuni N. Watanabe • RCNP : Satoshi Adachi, Nori Aoi, Gey Guillaume, Kichiji Hatanaka, Azusa Inoue, Chihiro Iwamoto, Shumpei Noji, Hooi Jin Ong, Atsushi Tamii, Tsz Leung Tang • Tohoku University : Yohei Matsuda • Konan University : Katsuyoshi Heguri • RIKEN : Takahiro Nishi, Kenta Itahashi • GSI : Hans Geissel, Yoshiki K. Tanaka • Beihang University : Satoru Terashima • Institute for Basic Science : Takashi Hashimoto 2

Deeply bound pionic atom • Binding energy and width of pionic atom Partial restoration of chiral symmetry • s-wave pion-nucleus potential 𝑉 " 𝑠 = − 2𝜌 + 𝜁 1 𝐶 , 𝜍 1 (𝑠) 𝜁 * 𝑐 , 𝜍 𝑠 + 𝑐 * 𝜍 / 𝑠 − 𝜍 0 𝑠 𝜈 ⁄ ⁄ ⁄ 𝜈 = 𝑛 6 𝑁 𝑛 6 + 𝑁 , 𝜁 * = 1 + 𝑛 6 𝑁 , 𝜁 1 = 1 + 𝑛 6 2𝑁 𝜍 / 𝑠 : neutron density, 𝜍 0 𝑠 : proton density, 𝜍 𝑠 = 𝜍 / 𝑠 + 𝜍 0 𝑠 ABCC 𝑟 >𝑟 ? ≈ 𝑐 * Gell-Mann-Oakes-Renner relation Tomozawa-Weinberg relation 𝑟 >𝑟 , 𝑐 * (𝜍) 3

𝑉 " 𝑠 = − 2𝜌 + 𝜁 1 𝐶 , 𝜍 1 (𝑠) 𝜁 * 𝑐 , 𝜍 𝑠 + 𝑐 * 𝜍 / 𝑠 − 𝜍 0 𝑠 𝜈 Density dependence Need to study isotope / isotone dependence ,... EC ECp EC ECp EC EC EC EC EC EC EC EC 0.106 EC 0.101 EC 2.417 6.592 7.854 11.23 71.70 Cs116 Cs117 Cs118 Cs119 Cs120 Cs121 Cs122 Cs123 Cs124 Cs125 Cs126 Cs127 Cs128 Cs129 Cs130 Cs131 Cs132 Cs133 Cs134 Cs135 Cs136 Cs137 8.4 s 14 s 43.0 s 64 s 155 s 21.0 s 5.94 m 30.8 s 45 m 1.64 m 6.25 h 3.66 m 32.06 h 29.21 m 9.689 d 6.479 d 2.0648 y 2.3E+6 y 13.16 d 30.07 y (9/2+) 2 9/2+ 2 3/2(+) 1+ 1/2+ 1+ (1/2+) 1+ 1/2+ 1+ 1/2+ 1+ 5/2+ 2+ 7/2+ 4+ 7/2+ 5+ 7/2+ * * * * * * * * * * * * * ,... EC ECp,EC α ,... EC EC EC EC EC EC EC EC EC EC EC EC, β - EC EC, β - EC, β - β - β - β - 100 Xe115 Xe116 Xe117 Xe118 Xe119 Xe120 Xe121 Xe122 Xe123 Xe124 Xe125 Xe126 Xe127 Xe128 Xe129 Xe130 Xe131 Xe132 Xe133 Xe134 Xe135 Xe136 59 s 61 s 3.8 m 5.8 m 40 m 40.1 m 20.1 h 2.08 h 1.6E+14 y 16.9 h 36.4 d 5.243 d 9.14 h 2.36E21 y (5/2+) 0+ 5/2(+) 0+ (5/2+) 0+ 5/2(+) 0+ (1/2)+ 0+ (1/2)+ 0+ 1/2+ 0+ 1/2+ 0+ 3/2+ 0+ 3/2+ 0+ 3/2+ 0+ * * * * * * * * ECEC ,... EC ECp EC EC EC EC EC EC 0.10 EC 0.09 EC 1.91 26.4 4.1 21.2 26.9 β - 10.4 β - 8.9 I114 I115 I116 I117 I118 I119 I120 I121 I122 I123 I124 I125 I126 I127 I128 I129 I130 I131 I132 I133 I134 I135 1.3 m 2.91 s 2.22 m 13.7 m 19.1 m 81.0 m 2.12 h 3.63 m 13.27 h 4.1760 d 59.408 d 13.11 d 24.99 m 1.57E7 y 12.36 h 8.02070 d 2.295 h 20.8 h 52.5 m 6.57 h (5/2+) 1+ (5/2)+ 2- 5/2+ 2- 5/2+ 1+ 5/2+ 2- 5/2+ 2- 5/2+ 1+ 7/2+ 5+ 7/2+ 4+ 7/2+ (4)+ 7/2+ * * * * * * * * * EC EC EC EC EC EC EC EC EC EC EC EC, β - EC, β - 100 β - β - β - β - β - β - β - Te113 Te114 Te115 Te116 Te117 Te118 Te119 Te120 Te121 Te122 Te123 Te124 Te125 Te126 Te127 Te128 Te129 Te130 Te131 Te132 Te133 Te134 15.2 m 5.8 m 2.49 h 62 m 6.00 d 16.03 h 16.78 d 1E+13 y 9.35 h 2.2E24 y 69.6 m 7.9E20 y 25.0 m 3.204 d 12.5 m 41.8 m (7/2+) 0+ 7/2+ 0+ 1/2+ 0+ 1/2+ 0+ 1/2+ 0+ 1/2+ 0+ 1/2+ 0+ 3/2+ 0+ 3/2+ 0+ 3/2+ 0+ (3/2+) 0+ * * * * * * * * * * EC β - β - β - EC EC EC EC EC EC 0.096 EC 2.603 0.908 4.816 7.139 18.95 β - β - β - β - β - β - 31.69 33.80 Sb112 Sb113 Sb114 Sb115 Sb116 Sb117 Sb118 Sb119 Sb120 Sb121 Sb122 Sb123 Sb124 Sb125 Sb126 Sb127 Sb128 Sb129 Sb130 Sb131 Sb132 Sb133 6.67 m 3.49 m 32.1 m 15.8 m 2.80 h 3.6 m 38.19 h 15.89 m 2.7238 d 60.20 d 2.7582 y 12.46 d 3.85 d 9.01 h 4.40 h 39.5 m 23.03 m 2.79 m 2.5 m 5/2+ 3+ 5/2+ 3+ 5/2+ 1+ 5/2+ 1+ 5/2+ 2- 7/2+ 3- 7/2+ (8)- 7/2+ 8- 7/2+ (8-) (7/2+) (4+) (7/2+) * * * * * * * * * * * EC EC EC EC EC EC EC EC EC, β - 57.36 42.64 β - β - β - β - β - β - β - β - β - β - Sn111 Sn112 Sn113 Sn114 Sn115 Sn116 Sn117 Sn118 Sn119 Sn120 Sn121 Sn122 Sn123 Sn124 Sn125 Sn126 Sn127 Sn128 Sn129 Sn130 Sn131 Sn132 115.09 d 27.06 h 129.2 d 9.64 d 1E+5 y 2.10 h 59.07 m 2.23 m 3.72 m 56.0 s 39.7 s 0+ 1/2+ 0+ 1/2+ 0+ 1/2+ 0+ 1/2+ 0+ 3/2+ 0+ 11/2- 0+ 11/2- 0+ (11/2-) 0+ (3/2+) 0+ (3/2+) 0+ * * * * * * * * * * * 0.97 EC 0.65 0.34 14.53 7.68 24.23 8.59 32.59 β - 4.63 β - 5.79 β - β - β - β - β - β - β - β - In110 In111 In112 In113 In114 In115 In116 In117 In118 In119 In120 In121 In122 In123 In124 In125 In126 In127 In128 In129 In130 In131 2.8047 d 14.97 m 71.9 s 4.41E+14 y 14.10 s 43.2 m 5.0 s 2.4 m 3.08 s 23.1 s 1.5 s 5.98 s 3.11 s 2.36 s 1.60 s 1.09 s 0.84 s 0.61 s 0.32 s 0.282 s 9/2+ 1+ 9/2+ 1+ 9/2+ 1+ 9/2+ 1+ 9/2+ 1+ 9/2+ 1+ 9/2+ 3+ 9/2(+) 3(+) (9/2+) (3+) (9/2+) 1(-) (9/2+) GSI, RIKEN * * * * * * * * * * * * * * * * * * * * * * β - EC EC, β - 4.3 EC, β - EC, β - β - β - β - β - β - Sn isotope β - β - β - β - β - β - n β - n β - n β - n β - n 95.7 Cd109 Cd110 Cd111 Cd112 Cd113 Cd114 Cd115 Cd116 Cd117 Cd118 Cd119 Cd120 Cd121 Cd122 Cd123 Cd124 Cd125 Cd126 Cd127 Cd128 Cd129 Cd130 4