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論文

Temperature-dependent hardening contributions in CrFeCoNi high-entropy alloy

Naeem, M.*; He, H.*; Harjo, S.; 川崎 卓郎; Lin, W.*; Kai, J.-J.*; Wu, Z.*; Lan, S.*; Wang, X.-L.*

Acta Materialia, 221, p.117371_1 - 117371_18, 2021/12

We studied the deformation behavior of CrFeCoNi high-entropy alloy by in situ neutron diffraction at room temperature, intermediate low temperature of 140 K, low temperatures of 40 K (no serrated deformation) and 25 K (with massive serrations). The contributions from different deformation mechanisms to the yield strength and strain hardening have been estimated. The athermal contributions to the yield strength were $$sim$$183 MPa at all temperatures, while the Peierls stress increased significantly at low temperatures (from 148 MPa at room temperature to 493 MPa at 25 K). Dislocations contributed to $$sim$$94% strain hardening at room temperature. Although the dislocation strengthening remained the major hardening mechanism at very low temperatures, the planar faults contribution increased steadily from 6% at room temperature to 28% at 25 K.

論文

Martensitic transformation in CrCoNi medium-entropy alloy at cryogenic temperature

Naeem, M.*; Zhou, H.*; He, H.*; Harjo, S.; 川崎 卓郎; Lan, S.*; Wu, Z.*; Zhu, Y.*; Wang, X.-L.*

Applied Physics Letters, 119(13), p.131901_1 - 131901_7, 2021/09

We investigated the in situ deformation behavior of the CrCoNi medium-entropy alloy at a cryogenic temperature of 140 K and compared it with deformation at room temperature. The sample exhibited higher strength and larger ductility at the cryogenic temperature. The CrCoNi alloy remained single-phase face-centered cubic at room temperature, while deformation at 140 K resulted in a martensitic transformation to the hexagonal close-packed structure. The phase transformation, an additional deformation mechanism to stacking faults, twinning, and dis- location slip, resulted in a higher work hardening at cryogenic temperature. The study addresses the structure metastability in the CrCoNi alloy, which led to the formation of epsilon-martensite from the intrinsic stacking faults.

論文

Stacking fault driven phase transformation in CrCoNi medium entropy alloy

He, H.*; Naeem, M.*; Zhang, F.*; Zhao, Y.*; Harjo, S.; 川崎 卓郎; Wang, B.*; Wu, X.*; Lan, S.*; Wu, Z.*; et al.

Nano Letters, 21(3), p.1419 - 1426, 2021/02

 被引用回数:3 パーセンタイル:0(Chemistry, Multidisciplinary)

In CrCoNi, a so-called medium-entropy alloy, an fcc-to-hcp phase transformation has long been anticipated. Here, we report an in situ loading study with neutron diffraction, which revealed a bulk fcc-to-hcp phase transformation in CrCoNi at 15 K under tensile loading. By correlating deformation characteristics of the fcc phase with the development of the hcp phase, it is shown that the nucleation of the hcp phase was triggered by intrinsic stacking faults. The confirmation of a bulk phase transformation adds to the myriads of deformation mechanisms available in CrCoNi, which together underpin the unusually large ductility at low temperatures.

論文

Magnetic-field and composition tuned antiferromagnetic instability in the quantum spin-liquid candidate NaYbO$$_2$$

Guo, J.*; Zhao, X.*; 河村 聖子; Ling, L.*; Wang, J.*; He, L.*; 中島 健次; Li, B.*; Zhang, Z.*

Physical Review Materials (Internet), 4(6), p.064410_1 - 064410_7, 2020/06

 被引用回数:4 パーセンタイル:51.8(Materials Science, Multidisciplinary)

NaYbO$$_2$$ has been reported as a possible host for the quantum spin-liquid state. Here, the composition-dependent polycrystalline Na$$_{1-x}$$YbO$$_2$$ ($$x = 0$$, 0.03, and 0.07) has been investigated by combining high-field magnetizations and inelastic neutron scattering techniques. For the $$x = 0$$ sample, no signature of a magnetic order is observed down to 0.3 K. Inelastic neutron scattering measurement suggests a continuous low-energy excitation spectrum centered at momentum transfer $$(Q) sim 1.25$$~$AA$^{-1}$$ and extending up to energy transfer $$(E) sim 2.0$$~meV. In contrast, $$x = 0.03$$ and 0.07 samples exhibit magnetic transitions at 1.1 and 2.3 K, respectively. High-field magnetization measurements indicate similar behaviors for $$x = 0$$ and 0.03 samples including plateau-like features at the 1/3 saturated magnetization, which implies that the spin disorder in the $$x = 0$$ sample might be suppressed preceding the emergence of the up-up-down phase. This composition- and field-dependent study allows us to construct complete phase diagrams indicating that NaYbO$$_2$$ is a promising candidate for the quantum spin-liquid state in close proximity to the antiferromagnetic instability tuned by the application of magnetic fields as well as controlling the concentration of Na$$^+$$ ion vacancies.

論文

Ultralow thermal conductivity from transverse acoustic phonon suppression in distorted crystalline $$alpha$$-MgAgSb

Li, X.*; Liu, P.-F.*; Zhao, E.*; Zhang, Z.*; Guide, T.*; Le, M. D.*; Avdeev, M.*; 池田 一貴*; 大友 季哉*; 古府 麻衣子; et al.

Nature Communications (Internet), 11(1), p.942_1 - 942_9, 2020/02

 被引用回数:15 パーセンタイル:93.25(Multidisciplinary Sciences)

高性能の熱電材料実現には低熱伝導率が必要であり、その機構としてはフォノンの非調和によるもの、あるいは、結晶構造の動的な乱れによるフォノンの散乱によるものがあげられ、どちらも中性子散乱でその現象が明らかにされている。我々は中性子散乱と第一原理計算を組み合わせ、$$alpha$$-MgAgSbにおいて、静的な結晶構造の乱れとフォノンの非調和性が組み合わされて極端に低い熱伝導率が実現されているということを見いだしたので、これを報告する。

論文

Fine structure in the $$alpha$$ decay of $$^{218}$$At

Cubiss, J. G.*; Andreyev, A. N.; Barzakh, A. E.*; Andel, B.*; Antalic, S.*; Cocolios, T. E.*; Day Goodacre, T.*; Fedorov, D. V.*; Fedosseev, V. N.*; Ferrer, R.*; et al.

Physical Review C, 99(6), p.064317_1 - 064317_6, 2019/06

 被引用回数:5 パーセンタイル:69.53(Physics, Nuclear)

$$^{218}$$Atの$$alpha$$崩壊について、CERN-ISOLDE施設においてレーザーイオン化法を使うことで研究した。$$alpha$$-$$gamma$$同時計数データを初めて取得し、より精度の良い半減期の値として1.27(6)秒を得た。$$alpha$$崩壊の微細構造を基に新しい$$alpha$$崩壊図式を構築した。それらの結果から、$$^{218}$$Atの基底状態のスピン・パリティは(3$$^{-}$$)がより確からしいことが解ったが、(2)$$^{-}$$の可能性も完全には否定しきれない。

論文

Inverse odd-even staggering in nuclear charge radii and possible octupole collectivity in $$^{217,218,219}$$At revealed by in-source laser spectroscopy

Barzakh, A. E.*; Cubiss, J. G.*; Andreyev, A. N.; Seliverstov, M. D.*; Andel, B.*; Antalic, S.*; Ascher, P.*; Atanasov, D.*; Beck, D.*; Biero$'n$, J.*; et al.

Physical Review C, 99(5), p.054317_1 - 054317_9, 2019/05

 被引用回数:5 パーセンタイル:69.53(Physics, Nuclear)

Hyperfine-structure parameters and isotope shifts for the 795-nm atomic transitions in $$^{217,218,219}$$At have been measured at CERN-ISOLDE, using the in-source resonance-ionization spectroscopy technique. Magnetic dipole and electric quadrupole moments, and changes in the nuclear mean-square charge radii, have been deduced. A large inverse odd-even staggering in radii, which may be associated with the presence of octupole collectivity, has been observed. Namely, the radius of the odd-odd isotope $$^{218}$$At has been found to be larger than the average.

論文

Coexistence of ferromagnetic and stripe-type antiferromagnetic spin fluctuations in YFe$$_{2}$$Ge$$_{2}$$

Wo, H.*; Wang, Q.*; Shen, Y.*; Zhang, X.*; Hao, Y.*; Feng, Y.*; Shen, S.*; He, Z.*; Pan, B.*; Wang, W.*; et al.

Physical Review Letters, 122(21), p.217003_1 - 217003_5, 2019/05

 被引用回数:2 パーセンタイル:35.62(Physics, Multidisciplinary)

We report neutron scattering measurements of single-crystalline YFe$$_{2}$$Ge$$_{2}$$ in the normal state, which has the same crystal structure as the 122 family of iron pnictide superconductors. YFe$$_{2}$$Ge$$_{2}$$ does not exhibit long-range magnetic order but exhibits strong spin fluctuations. Like the iron pnictides, YFe$$_{2}$$Ge$$_{2}$$ displays anisotropic stripe-type antiferromagnetic spin fluctuations at ($$pi, 0, pi$$). More interesting, however, is the observation of strong spin fluctuations at the in-plane ferromagnetic wave vector ($$0, 0, pi$$). These ferromagnetic spin fluctuations are isotropic in the ($$H, K$$) plane, whose intensity exceeds that of stripe spin fluctuations. Both the ferromagnetic and stripe spin fluctuations remain gapless down to the lowest measured energies. Our results naturally explain the absence of magnetic order in YFe$$_{2}$$Ge$$_{2}$$ and also imply that the ferromagnetic correlations may be a key ingredient for iron-based materials.

論文

EXILL; A High-efficiency, high-resolution setup for $$gamma$$-spectroscopy at an intense cold neutron beam facility

Jentschel, M.*; Blanc, A.*; de France, G.*; K$"o$ster, U.*; Leoni, S.*; Mutti, P.*; Simpson, G.*; Soldner, T.*; Ur, C.*; Urban, W.*; et al.

Journal of Instrumentation (Internet), 12(11), p.P11003_1 - P11003_33, 2017/11

 被引用回数:27 パーセンタイル:86.8(Instruments & Instrumentation)

A highly efficient array of high-purity germanium (HPGe) detectors was developed and operated at the cold neutron beam facility PF1B of the Institut Laue-Langevin (ILL) to carry out nuclear structure studies, via measurements of $$gamma$$-rays following neutron-induced capture and fission reactions. The setup consisted of a collimation system producing a pencil beam with a thermal capture equivalent flux of about 10$$^8$$ns$$^{-1}$$cm$$^{-2}$$ at the target position and negligible neutron halo. The target was surrounded by an array of eight to ten anti-Compton shielded EXOGAM Clover detectors, four to six anti-Compton shielded large coaxial GASP detectors and two standard Clover detectors. For a part of the campaign the array was combined with 16 LaBr$$_{3}$$:(Ce) detectors from the FATIMA collaboration.

論文

Atomically dispersed Pt on the surface of Ni particles; Synthesis and catalytic function in hydrogen generation from aqueous ammonia-borane

Li, Z.*; He, T.*; 松村 大樹; Miao, S.*; Wu, A.*; Liu, L.*; Wu, G.*; Chen, P.*

ACS Catalysis, 7(10), p.6762 - 6769, 2017/10

 被引用回数:102 パーセンタイル:96.66(Chemistry, Physical)

We report herein that the single-atom alloy (SAA) made of atomically dispersed Pt on the surface of Ni particles (Pt is surrounded by Ni atoms) exhibits improved catalytic activity on the hydrolytic dehydrogenation of ammonia-borane, a promising hydrogen storage method for onboard applications. Specifically, an addition of 160 ppm of Pt leads to ca. 3-fold activity improvement in comparison to that of pristine Ni/CNT catalyst. The turnover frequency based on the isolated Pt is 12000 mol$$_{rm{H}2}$$ mol$$_{rm{Pt}}$$$$^{-1}$$ min$$^{-1}$$, which is about 21 times the value of the best Pt-based catalyst ever reported. Our simulation results indicate that the high activity achieved stems from the synergistic effect between Pt and Ni, where the negatively charged Pt (Pt$$^{delta -}$$) and positively charged Ni (Ni$$^{delta +}$$) in the Pt-Ni alloy are prone to interact with H and OH of H$$_{2}$$O molecules, respectively, leading to an energetically favorable reaction pathway.

論文

Shape evolution in neutron-rich krypton isotopes beyond N=60; First spectroscopy of $$^{98,100}$$Kr

Flavigny, F.*; Doornenbal, P.*; Obertelli, A.*; Delaroche, J.-P.*; Girod, M.*; Libert, J.*; Rodriguez, T. R.*; Authelet, G.*; 馬場 秀忠*; Calvet, D.*; et al.

Physical Review Letters, 118(24), p.242501_1 - 242501_6, 2017/06

 被引用回数:27 パーセンタイル:88.56(Physics, Multidisciplinary)

The first $$gamma$$-ray spectroscopy of very neutron rich $$^{98,100}$$Kr isotopes was carried out at the RIBF at RIKEN Nishina center. Excited states in these isotopes were populated via (p,2p) reactions using radioactive $$^{99,101}$$Rb beams accelerated to 220 MeV/nucleon. The new data show a significant increase in deformation beyond N=60, as well as competing configurations (shape-coexistence) at low energy. The data were compared with beyond-mean-field calculations which predict level energies in good agreement with observation, and suggest oblate-prolate shape coexistence.

論文

Are there signatures of harmonic oscillator shells far from stability?; First spectroscopy of $$^{110}$$Zr

Paul, N.*; Corsi, A.*; Obertelli, A.*; Doornenbal, P.*; Authelet, G.*; 馬場 秀忠*; Bally, B.*; Bender, M.*; Calvet, D.*; Ch$^a$teau, F.*; et al.

Physical Review Letters, 118(3), p.032501_1 - 032501_7, 2017/01

 被引用回数:27 パーセンタイル:88.56(Physics, Multidisciplinary)

The first measurement of $$gamma$$ rays emitted by the very neutron rich nuclei $$^{112}$$Mo (Z=42) and $$^{110}$$Zr (Z=40) was carried out at the RIBF facility at RIKEN. These data shine light on the postulated N=70 harmonic oscillator shell. If the spin-orbit splitting which gives rise to the N=82 shell gap is reduced in very neutron-rich nuclei, the harmonic oscillator gap at N=70 should open instead. However, both the measured energy of the first excited state $$^{112}$$Mo and $$^{110}$$Zr, respectively 235(7) keV and 185(11) keV, and their E(4$$^+$$)/E(2$$^+$$) ratio, indicate that these nuclei are good rotors, and exclude the shell stabilization scenario at Z=40 and N=70. These results were compared to state-of-the-art density functional theoretical calculations using Gogny and Skyrme effective interactions.

論文

$$beta$$-delayed fission and $$alpha$$ decay of $$^{196}$$At

Truesdale, V. L.*; Andreyev, A.; Ghys, L.*; Huyse, M.*; Van Duppen, P.*; Sels, S.*; Andel, B.*; Antalic, S.*; Barzakh, A.*; Capponi, L.*; et al.

Physical Review C, 94(3), p.034308_1 - 034308_11, 2016/09

 被引用回数:9 パーセンタイル:65.08(Physics, Nuclear)

A nuclear-decay spectroscopy study of the neutron-deficient isotope $$^{196}$$At is reported where an isotopically pure beam was produced using the selective Resonance Ionization Laser Ion Source and On-Line Isotope Mass Separator (CERN). The fine-structure $$alpha$$ decay of $$^{196}$$At allowed the low-energy excited states in the daughter nucleus $$^{192}$$Bi to be investigated. A $$beta$$-delayed fission study of $$^{196}$$At was also performed. A mixture of symmetric and asymmetric fission-fragment mass distributions of the daughter isotope $$^{196}$$Po (populated by $$beta$$ decay of $$^{196}$$At) was deduced based on the measured fission-fragment energies. A $$beta$$DF probability $$P_{rm beta DF}$$($$^{196}$$At) = 9(1)$$times$$10$$^{-5}$$ was determined.

論文

Decomposition studies of group 6 hexacarbonyl complexes, 1; Production and decomposition of Mo(CO)$$_6$$ and W(CO)$$_6$$

Usoltsev, I.*; Eichler, R.*; Wang, Y.*; Even, J.*; Yakushev, A.*; 羽場 宏光*; 浅井 雅人; Brand, H.*; Di Nitto, A.*; D$"u$llmann, Ch. E.*; et al.

Radiochimica Acta, 104(3), p.141 - 151, 2016/03

 被引用回数:23 パーセンタイル:95.76(Chemistry, Inorganic & Nuclear)

周期表第6族元素で最も重いSgのヘキサカルボニル錯体の熱的安定性を調べることを目指して、短寿命MoおよびW同位体を用いてヘキサカルボニル錯体を合成し、その合成および解離条件を調べた。チューブ状の反応装置を用いてヘキサカルボニル錯体を解離させ、第1解離エネルギーを導出できるかテストした。第6族元素のヘキサカルボニル錯体の解離を調べるには、反応表面として銀が最適であることがわかった。Mo(CO)$$_6$$およびW(CO)$$_6$$の解離が起こる反応表面温度は、それらの第1解離エネルギーと相関があることがわかり、この方法を用いてSg(CO)$$_6$$の第1解離エネルギーを決定できる見通しを得た。

論文

In situ synthesis of volatile carbonyl complexes with short-lived nuclides

Even, J.*; Ackermann, D.*; 浅井 雅人; Block, M.*; Brand, H.*; Di Nitto, A.*; D$"u$llmann, Ch. E.*; Eichler, R.*; Fan, F.*; 羽場 宏光*; et al.

Journal of Radioanalytical and Nuclear Chemistry, 303(3), p.2457 - 2466, 2015/03

 被引用回数:10 パーセンタイル:73.32(Chemistry, Analytical)

金属カルボニル錯体の迅速その場合成を、核分裂や核融合反応によって生成される短寿命同位体を用いた実験によって実証した。高い反跳エネルギーを持つ短寿命核反応生成物を一酸化炭素分子と直接反応させることでカルボニル錯体を合成し、高い揮発性を持つ錯体のみをガス気流によって迅速に搬送し、化学分析・測定装置にかけて検出した。この手法を用いることで、Mo, Tc, Ru, Rh, W, Re, Os, Irの短寿命同位体の揮発性カルボニル錯体の合成に成功した。一方、HfとTaの揮発性錯体は検出されなかった。この手法は超重元素シーボーギウム(原子番号106)の化学研究に既に適用されており、また短寿命遷移金属同位体を用いた核科学研究の様々な分野への応用が今後期待される。

論文

Synthesis and detection of a Seaborgium carbonyl complex

Even, J.*; Yakushev, A.*; D$"u$llmann, Ch. E.*; 羽場 宏光*; 浅井 雅人; 佐藤 哲也; Brand, H.*; Di Nitto, A.*; Eichler, R.*; Fan, F. L.*; et al.

Science, 345(6203), p.1491 - 1493, 2014/09

 被引用回数:50 パーセンタイル:82.39(Multidisciplinary Sciences)

超重元素の新しい錯体、106番元素シーボーギウム(Sg)のカルボニル錯体の合成に初めて成功し、その吸着特性を低温熱クロマトグラフィー・$$alpha$$線測定装置COMPACTを用いて調べた。理化学研究所の気体充填型反跳イオン分離装置GARISを用いて合成及び前段分離された短寿命核反応生成物$$^{265}$$Sgを、ヘリウムと一酸化炭素の混合ガス中に打ち込み、カルボニル錯体を合成した。生成したカルボニル錯体のうち揮発性の高いもののみをガス気流によってCOMPACTへと搬送し、低温熱クロマトグラフィー測定を行った。検出されたSgカルボニル錯体の吸着エンタルピーは-50kJ/molと求まり、この高い揮発性からこの錯体は6配位のSg(CO)$$_{6}$$であると結論した。これまで超アクチノイド元素では単純な無機錯体しか合成されたことがなく、本研究は超アクチノイド元素における初めての有機金属錯体合成の成果である。

論文

Ultralow emittance beam production based on Doppler laser cooling and coupling resonance

野田 章*; 中尾 政夫*; 岡本 宏巳*; 大崎 一哉*; 百合 庸介; 想田 光*; 頓宮 拓*; 神保 光一*; Grieser, M.*; He, Z.*; et al.

Proceedings of 5th International Particle Accelerator Conference (IPAC '14) (Internet), p.28 - 33, 2014/07

Three-dimensional (3D) cooling of 40-keV $$^{24}$$Mg$$^+$$ ion beams with Doppler laser cooling and the coupling resonance has been demonstrated in the storage ring S-LSR of Kyoto University toward the production of ultralow-emittance beams, in other words, ultracold beams and so-called crystalline beams. So far, the transverse temperatures of 6 K and 2 K have been experimentally attained in the horizontal and vertical directions, respectively, at a low beam intensity of about $$10^4$$ ions in the ring. These temperatures are the lowest ever attained by laser cooling of ion beams. Systematic molecular dynamics simulations predict the realization of further lower temperatures, $$approx$$ 1 mK and $$approx$$ 0.1 K in the longitudinal and transverse directions, respectively, if the laser spot size and detuning are properly adjusted even with such a low laser power ($$approx$$ 10 mW) as utilized in the experiments at S-LSR. A 3D ordered state of the beam with 3D laser cooling is also predicted. Recent experimental achievements and latest simulation results are presented.

論文

イオン蓄積・冷却リングS-LSRでのMgイオンビームのレーザー冷却

野田 章*; 中尾 政夫*; 想田 光*; 頓宮 拓*; 岡本 宏巳*; 大崎 一哉*; 百合 庸介; 神保 光一*; Grieser, M.*; He, Z.*

Proceedings of 10th Annual Meeting of Particle Accelerator Society of Japan (インターネット), p.143 - 145, 2014/06

We have experimentally demonstrated transverse indirect laser cooling utilizing synchro-betatron resonance coupling in the ion accumulation cooler ring S-LSR. However, its efficiency was rather poor for relatively high beam intensity of $$10^7$$ ions in the ring due to beam heating by intra-beam scattering and its cooling time was as long as 100 s. By application of beam scraping and optimization of laser detuning together with equilibrium deceleration with the use of an induction accelerator, we could reach the lowest transverse temperatures ever attained by laser cooling as 7.0 K and 2.1 K for the horizontal and vertical directions, respectively. The prospect of generating an ultra-low-temperature beam and realizing beam crystallization will be discussed on the basis of the present result.

論文

Superheavy element flerovium (element 114) is a volatile metal

Yakushev, A.*; Gates, J. M.*; T$"u$rler, A.*; Sch$"a$del, M.; D$"u$llmann, Ch. E.*; Ackermann, D.*; Andersson, L.-L.*; Block, M.*; Br$"u$chle, W.*; Dvorak, J.*; et al.

Inorganic Chemistry, 53(3), p.1624 - 1629, 2014/02

 被引用回数:79 パーセンタイル:98.54(Chemistry, Inorganic & Nuclear)

金表面に対する114番元素フレロビウム(Fl)の吸着挙動に関するガスクロマトグラフ研究について報告する。実験対象としたFlは$$^{244}$$Pu($$^{48}$$Ca, 3-4n)$$^{288,289}$$Fl反応で合成し、反跳核分離装置を利用して$$^{48}$$Caビームから単離した。Fl及びその$$alpha$$壊変核種である112番元素コペルニシウム(Cn)、そしてその周期表上の同族である14族(Pb)及び12族(Hg)、並びに不活性ガスであるRnの吸着挙動を、等温クロマトグラフィー及び熱クロマトグラフィーを利用した実験装置で観測した。その結果、2個のFl原子が測定され、PbやHgとは異なり直ちに吸着することはなかったが、室温の金表面に吸着した。得られたFlの吸着挙動は、最も近い同族元素であるPbと比較してより不活性であると言えるが、金表面でのFlの吸着エンタルピーの下限値は、金とFlが金属-金属結合を形成することを示している。したがって、Flは同族元素中で最も反応性が低い元素であると言えるが、その性質は金属である。

論文

Simulation study on transverse laser cooling and crystallization of heavy-ion beams at the cooler storage ring S-LSR

百合 庸介; 大崎 一哉*; 岡本 宏巳*; He, Z.*; 想田 光*; 野田 章*; 中尾 政夫*; 頓宮 拓*; 神保 光一*

Proceedings of Workshop on Beam Cooling and Related Topics (COOL '13) (Internet), p.162 - 165, 2013/11

Efficient transverse laser cooling of a low-intensity heavy-ion beam has been recently accomplished experimentally by means of the resonant coupling method at the cooler storage ring S-LSR of Kyoto University. In parallel with the experimental effort, multi-dimensional laser cooling of the ion beam has been studied also numerically with the molecular dynamics (MD) simulation code in which the stochastic interaction between ions and laser photons is incorporated in order to search optimum laser-cooling conditions and verify the results of the experiment. The present MD result demonstrates that, in spite of the limited experimental conditions of the cooling laser such as low power, fixed frequency, and short cooling section, a three-dimensionally low-temperature beam of 40-keV $$^{24}$$Mg$$^+$$ can be obtained through resonant coupling at a low intensity of $$10^4$$ ions in the ring, which is consistent with the experimental result.

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