Extraction of the Landau-Migdal Parameter from the Gamow-Teller Giant Resonance in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi>Sn</mi></mrow><mprescripts></mprescripts><none></none><mrow><mn>132</mn></mrow></mmultiscripts></mrow></math>

J. Yasuda; M. Sasano; R. G. T. Zegers; H. Baba; D. Bazin; W. Chao; M. Dozono; N. Fukuda; N. Inabe; T. Isobe; G. Jhang; D. Kameda; M. Kaneko; K. Kisamori; M. Kobayashi; N. Kobayashi; T. Kobayashi; S. Koyama; Y. Kondo; A. J. Krasznahorkay; T. Kubo; Y. Kubota; M. Kurata-Nishimura; C. S. Lee; J. W. Lee; Y. Matsuda; E. Milman; S. Michimasa; T. Motobayashi; D. Muecher; T. Murakami; T. Nakamura; N. Nakatsuka; S. Ota; H. Otsu; V. Panin; W. Powell; S. Reichert; S. Sakaguchi; H. Sakai; M. Sako; H. Sato; Y. Shimizu; M. Shikata; S. Shimoura; L. Stuhl; T. Sumikama; H. Suzuki; S. Tangwancharoen; M. Takaki; H. Takeda; T. Tako; Y. Togano; H. Tokieda; J. Tsubota; T. Uesaka; T. Wakasa; K. Yako; K. Yoneda; J. Zenihiro

doi:10.1103/PhysRevLett.121.132501

Extraction of the Landau-Migdal Parameter from the Gamow-Teller Giant Resonance in ${}^{132}{Sn}$

J. Yasuda^1,2, M. Sasano², R. G. T. Zegers^3,4,5, H. Baba², D. Bazin³, W. Chao², M. Dozono², N. Fukuda², N. Inabe² et al.

T. Isobe², G. Jhang^2,3, D. Kameda², M. Kaneko^6,2, K. Kisamori^2,7, M. Kobayashi⁷, N. Kobayashi⁸, T. Kobayashi^2,9, S. Koyama^2,8, Y. Kondo^10,2, A. J. Krasznahorkay¹¹, T. Kubo², Y. Kubota^2,7, M. Kurata-Nishimura², C. S. Lee^2,7, J. W. Lee¹², Y. Matsuda¹³, E. Milman^2,14, S. Michimasa⁷, T. Motobayashi², D. Muecher^2,15,16, T. Murakami⁶, T. Nakamura^10,2, N. Nakatsuka^2,6, S. Ota⁷, H. Otsu², V. Panin², W. Powell², S. Reichert^2,15, S. Sakaguchi^1,2, H. Sakai², M. Sako², H. Sato², Y. Shimizu², M. Shikata^10,2, S. Shimoura⁷, L. Stuhl², T. Sumikama^9,2, H. Suzuki², S. Tangwancharoen², M. Takaki⁷, H. Takeda², T. Tako⁹, Y. Togano^10,2,17, H. Tokieda⁷, J. Tsubota^10,2, T. Uesaka², T. Wakasa¹, K. Yako⁷, K. Yoneda², and J. Zenihiro²

¹Department of Physics, Kyushu University, Nishi, Fukuoka 819-0395, Japan
²RIKEN Nishina Center, Hirosawa 2-1, Wako, Saitama 351-0198, Japan
³National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824, USA
⁴Joint Institute for Nuclear Astrophysics, Michigan State University, East Lansing, Michigan 48824, USA
⁵Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
⁶Department of Physics, Kyoto University, Kyoto 606-8502, Japan
⁷Center for Nuclear Study, University of Tokyo, Bunkyo, Tokyo 113-0033, Japan
⁸Department of Physics, University of Tokyo, Tokyo 113-0033, Japan
⁹Department of Physics, Tohoku University, Miyagi 980-8578, Japan
¹⁰Department of Physics, Tokyo Institute of Technology, 2-12-1 O-Okayama, Meguro, Tokyo 152-8551, Japan
¹¹ATOMKI, Institute for Nuclear Research, Hungarian Academy of Sciences, P. O. Box 51, H-4001 Debrecen, Hungary
¹²Department of Physics, Korea University, Seoul 02841, Republic of Korea
¹³Department of Physics, Faculty of Science and Engineering, Konan University, 8-9-1 Higashinada, Kobe, Hyogo 658-8501, Japan
¹⁴Department of Physics, Kyungpook National University, Daegu 702-701, Korea
¹⁵Technical University of Munich, D-85748 Garching, Germany
¹⁶Department of Physics, University of Guelph, Ontario N1G 2W1, Canada
¹⁷Department of Physics, Rikkyo University, Tokyo 171-8501, Japan

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Phys. Rev. Lett. 121, 132501 – Published 26 September, 2018

DOI: https://doi.org/10.1103/PhysRevLett.121.132501

Abstract

The key parameter to discuss the possibility of the pion condensation in nuclear matter, i.e., the so-called Landau-Migdal parameter $g^{'}$ , was extracted by measuring the double-differential cross sections for the $(p, n)$ reaction at $216 MeV / u$ on a neutron-rich doubly magic unstable nucleus, ${}^{132}{Sn}$ with the quality comparable to data taken with stable nuclei. The extracted strengths for Gamow-Teller (GT) transitions from ${}^{132}{Sn}$ leading to ${}^{132}{Sb}$ exhibit the GT giant resonance (GTR) at the excitation energy of $16.3 \pm 0.4 (stat) \pm 0.4 (syst) MeV$ with the width of $Γ = 4.7 \pm 0.8 MeV$ . The integrated GT strength up to $E_{x} = 25 MeV$ is $S_{GT}^{-} = 53 \pm {5 (stat)}_{- 10}^{+ 11} (syst)$ , corresponding to 56% of Ikeda’s sum rule of $3 (N - Z) = 96$ . The present result accurately constrains the Landau-Migdal parameter as $g^{'} = 0.68 \pm 0.07$ , thanks to the high sensitivity of the GTR energy to $g^{'}$ . In combination with previous studies on the GTR for ${}^{90}{Zr}$ and ${}^{208}{Pb}$ , the result of this work shows the constancy of this parameter in the nuclear chart region with $(N - Z) / A = 0.11$ to 0.24 and $A = 90$ to 208.

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Extraction of the Landau-Migdal Parameter from the Gamow-Teller Giant Resonance in ${}^{132}{Sn}$

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Extraction of the Landau-Migdal Parameter from the Gamow-Teller Giant Resonance in Sn132

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Extraction of the Landau-Migdal Parameter from the Gamow-Teller Giant Resonance in ${}^{132}{Sn}$