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論文

$$N Omega$$ interaction; Meson exchanges, inelastic channels, and quasibound state

関原 隆泰; 神谷 有輝*; 兵藤 哲雄*

Physical Review C, 98(1), p.015205_1 - 015205_20, 2018/07

 被引用回数:7 パーセンタイル:20.84(Physics, Nuclear)

Based on a baryon-baryon interaction model with meson exchanges, we investigate the origin of the strong attraction in the $$N Omega (^{5}S_{2})$$ interaction, which was indicated by recent lattice QCD simulations. The long-range part of the potential is constructed by the conventional mechanisms, the exchanges of the $$eta$$ meson and of the correlated two mesons in the scalar-isoscalar channel, denoted by "$$sigma$$" in the literature. The short-range part is represented by the contact interaction. With the present model parameters fit to reproduce the scattering length of the HAL QCD result of the nearly physical quark masses, we obtain the $$N Omega (^{5}S_{2})$$ quasibound state with its eigenenergy $$2611.3 - 0.7 i$$ MeV.

論文

Possible $$eta ^{prime} d$$ bound state and its $$s$$-channel formation in the $$gamma d to eta d$$ reaction

関原 隆泰; 藤岡 宏之*; 石川 貴嗣*

Physical Review C, 97(4), p.045202_1 - 045202_9, 2018/04

 被引用回数:3 パーセンタイル:48.88(Physics, Nuclear)

We theoretically investigate a possibility of an $$eta ^{prime} d$$ bound state and its formation in the $$gamma d to eta d$$ reaction. First, in the fixed center approximation to the Faddeev equations we obtain an $$eta ^{prime} d$$ bound state with a binding energy of 25 MeV and width of 19 MeV, where we take the $$eta ^{prime} N$$ interaction with a coupling to the $$eta N$$ channel from the linear $$sigma$$ model. Then, in order to investigate the feasibility from an experimental point of view, we calculate the cross section of the $$gamma d to eta d$$ reaction at the photon energy in the laboratory frame around 1.2 GeV.

論文

Theoretical analysis on the $$K^{-3}$$He $$rightarrow Lambda pn$$ reaction for the $$bar{K} N N$$ bound-state search in the J-PARC E15 experiment

関原 隆泰; Oset, E.*; Ramos, A.*

Proceedings of Science (Internet), 310, 5 Pages, 2018/03

In this contribution we theoretically investigate what is the origin of the peak structure observed in the E15 experiment at J-PARC. Since the peak exists near the $$K^{-} p p$$ threshold, we expect two scenarios to produce the peak. One is that the $$Lambda (1405)$$ is generated but it does not correlate with $$p$$, and the uncorrelated $$Lambda (1405)$$-$$p$$ system subsequently decays into $$Lambda p$$. The other is that the $$bar{K} N N$$ quasi-bound state is indeed generated and decays into $$Lambda p$$. We calculate the $$Lambda p$$ invariant mass spectrum of the reaction with these two scenarios and compare it with the experimental one to interpret the experimental peak structure.

論文

What makes the peak structure of the $$Lambda p$$ invariant-mass spectrum in the $$K^{-3} rm He rightarrow Lambda$$$$pn$$ reaction?

関原 隆泰; Oset, E.*; Ramos, A.*

Acta Physica Polonica B, 48(10), p.1869 - 1874, 2017/10

 被引用回数:1 パーセンタイル:81.17(Physics, Multidisciplinary)

In this contribution we theoretically investigate what is the origin of the peak structure observed in the E15 experiment at J-PARC. Since the peak exists near the $$K^{-}pp$$ threshold, we expect two scenarios to produce the peak. One is that the $$Lambda (1405)$$ is generated but it does not correlate with $$p$$, and the uncorrelated $$Lambda (1405)$$-$$p$$ system subsequently decays into $$Lambda p$$. The other is that the $$bar{K} N N$$ quasi-bound state is indeed generated and decays into $$Lambda p$$. We calculate the $$Lambda p$$ invariant mass spectrum of the reaction with these two scenarios and compare it with the experimental one to interpret the experimental peak structure.

論文

Exotic hadrons from heavy ion collisions

Cho, S.*; 兵藤 哲雄*; 慈道 大介*; Ko, C. M.*; Lee, S. H.*; 前田 沙織*; 宮原 建太*; 森田 健司*; Nielsen, M.*; 大西 明*; et al.

Progress in Particle and Nuclear Physics, 95, p.279 - 322, 2017/07

AA2016-0538.pdf:0.65MB

 被引用回数:38 パーセンタイル:13.95(Physics, Nuclear)

RHICやLHCでの検出器の性能向上により、高エネルギー重イオン衝突において基底状態だけでなく励起状態のハドロンも測定できるようになった。そこで、重イオン衝突はハドロン分子状態やマルチクォーク状態などのエキゾチックハドロンの新しい手法となる。エキゾチックハドロンの構造は量子色力学の基本的性質と関連しているので、これらを研究することはハドロン物理の最も精力的な話題の一つである。本レビューでは、重イオン衝突で測定できるようなエキゾチックハドロン候補の幾つかに対して、現在の理解をまとめる。

論文

Two-body wave functions, compositeness, and the internal structure of dynamically generated resonances

関原 隆泰; 兵藤 哲雄*; 慈道 大介*; 山縣(関原) 淳子*; 安井 繁宏*

Proceedings of Science (Internet), 8 Pages, 2017/05

In this contribution, I introduce the physical meaning of the compositeness, its expression, and theoretical evaluation in effective models. In particular, we show that the two-body wave function of the bound state corresponds to the residue of the scattering amplitude at the bound state pole, which means that solving the Lippmann-Schwinger equation at the bound state pole is equivalent to evaluating the two-body wave function of the bound state. Then, we evaluate the compositeness for the so-called dynamically generated resonances in the chiral unitary approach, such as $$Lambda (1405)$$, $$N (1535)$$, and $$N (1650)$$, and investigate their internal structure in terms of the hadronic molecular components.

論文

The Peak structure in the in-flight $$^{3}$$He$$(K^{-}, Lambda p) n$$ reaction around the $$bar{K} N N$$ Threshold

関原 隆泰; Oset, E.*; Ramos, A.*

JPS Conference Proceedings (Internet), 13, p.020002_1 - 020002_5, 2017/02

In this contribution we theoretically investigate what is the origin of the peak structure observed in the E15 experiment at J-PARC. Since the peak exists near the $$K^{-} p p$$ threshold, we expect two scenarios to produce the peak. One is that the $$Lambda (1405)$$ is generated but it does not correlate with $$p$$, and the uncorrelated $$Lambda (1405)$$-$$p$$ system subsequently decays into $$Lambda p$$. The other is that the $$bar{K} N N$$ quasi-bound state is indeed generated and decays into $$Lambda p$$. We calculate the $$Lambda p$$ invariant mass spectrum of the reaction with these two scenarios and compare it with the experimental one to interpret the experimental peak structure.

論文

Two-body wave functions and compositeness from scattering amplitudes; General properties with schematic models

関原 隆泰

Physical Review C, 95(2), p.025206_1 - 025206_16, 2017/02

AA2016-0539.pdf:1.06MB

 被引用回数:8 パーセンタイル:25.68(Physics, Nuclear)

For a general two-body bound state in quantum mechanics, both in the stable and decaying cases, we establish a way to extract its two-body wave function in momentum space from the scattering amplitude of the constituent two particles. As a result, the two-body wave functions from the Lippmann-Schwinger equation coincides with that from the Schrodinger equation for an energy-independent interaction. Of special interest is that the two-body wave function from the scattering amplitude is automatically scaled; the norm of the two-body wave function, to which we refer as the compositeness, is unity for an energy-independent interaction, while the compositeness deviates from unity for an energy-dependent interaction, which can be interpreted to implement missing channel contributions.

論文

On the structure observed in the in-flight $$^{3}$$He($$K^{-}, Lambda p)n$$ reaction at J-PARC

関原 隆泰; Oset, E.*; Ramos, A.*

Progress of Theoretical and Experimental Physics (Internet), 2016(12), p.123D03_1 - 123D03_27, 2016/12

AA2016-0237.pdf:1.53MB

 被引用回数:27 パーセンタイル:11.09(Physics, Multidisciplinary)

In this contribution we theoretically investigate what is the origin of the peak structure observed in the E15 experiment of the in-flight $$^{3}$$He($$K^{-}, Lambda p)n$$ reaction at J-PARC, which could be a signal of the lightest kaonic nuclei, that is, the $$bar{K} N N (I=1/2)$$ state. For the investigation, we evaluate the $$Lambda p$$ invariant mass spectrum assuming two possible scenarios to interpret the experimental peak. One assumes that the $$Lambda(1405)$$ resonance is generated after the emission of an energetic neutron from the absorption of the initial $$K^-$$, not forming a bound state with the remaining proton. The other scenario implies that, after the emission of the energetic neutron, a $$bar{K} N N$$ bound state is formed. Our results show that the experimental signal observed in the in-flight $$^{3}$$He($$K^{-}, Lambda p)n$$ reaction at J-PARC is qualitatively well reproduced by the assumption that a $$bar{K} N N$$ bound state is generated in the reaction, definitely discarding the interpretation in terms of an uncorrelated $$Lambda (1405) p$$ state.

論文

Theoretical study of photoproduction of an $$eta ^{prime} N$$ bound state on a deuteron target with forward proton emission

関原 隆泰; 酒井 俊太郎*; 慈道 大介*

Physical Review C, 94(2), p.025203_1 - 025203_11, 2016/08

AA2016-0236.pdf:0.92MB

 被引用回数:4 パーセンタイル:55.37(Physics, Nuclear)

Possibilities of observing a signal of an $$eta ^{prime} n$$ bound state are investigated by considering photoproductions of the $$eta$$ and $$eta ^{prime}$$ mesons on a deuteron target with forward proton emission. By using effective models for the $$gamma p to eta ^{( prime )} p$$ and $$eta ^{( prime )} n to eta ^{( prime )} n$$ amplitudes, we calculate photoproduction cross sections of the $$eta ^{prime} n$$ bound state. As a result, we find that the signal of the $$eta ^{prime} n$$ bound state can be seen below the $$eta ^{prime} n$$ threshold in the $$eta n$$ invariant mass spectrum.

口頭

Theoretical study of photoproduction of $$eta ^{prime} N$$ bound state on deuteron target with forward proton emission

関原 隆泰; 酒井 俊太郎*; 慈道 大介*

no journal, , 

Possibilities of observing a signal of an $$eta ^{prime} n$$ bound state are investigated by considering photoproductions of the $$eta$$ and $$eta ^{prime}$$ mesons on a deuteron target with forward proton emission. By using effective models for the $$gamma p to eta ^{(prime)} p$$ and $$eta ^{(prime)} n to eta ^{(prime)} n$$ amplitudes, we calculate photoproduction cross sections of the $$eta ^{prime} n$$ bound state. As a result, we find that the signal of the $$eta ^{prime} n$$ bound state can be seen below the $$eta ^{prime} n$$ threshold in the $$eta n$$ invariant mass spectrum.

口頭

Two-body wave functions and compositeness from scattering amplitudes

関原 隆泰

no journal, , 

For a general two-body bound state in quantum mechanics, both in the stable and decaying cases, we establish a way to extract its two-body wave function in momentum space from the scattering amplitude of the constituent two particles. For this purpose, we first show that the two-body wave function of the bound state corresponds to the residue of the off-shell scattering amplitude at the bound state pole, by considering solutions of both the Schr$"{o}$dinger and Lippmann-Schwinger equations. This means that solving the Lippmann-Schwinger equation at the bound state pole is equivalent to evaluating the two-body wave function of the bound state. We apply this method to candidates of hadronic molecules such as $$Lambda (1405)$$ described in hadron-hadron scattering amplitudes in hadron effective models and calculate the compositeness as the norm of the two-body wave function.

口頭

On the structure observed in the in-flight $$^{3}$$He$$(K^{-}, Lambda p)n$$ reaction at J-PARC

関原 隆泰; Oset, E.*; Ramos, A.*

no journal, , 

In this contribution we theoretically investigate what is the origin of the peak structure observed in the E15 experiment at J-PARC. Since the peak exists near the $$K^{-} p p$$ threshold, we expect two scenarios to produce the peak. One is that the $$Lambda (1405)$$ is generated but it does not correlate with $$p$$, and the uncorrelated $$Lambda (1405)$$-$$p$$ system subsequently decays into $$Lambda p$$. The other is that the $$bar{K} N N$$ quasi-bound state is indeed generated and decays into $$Lambda p$$. We calculate the $$Lambda p$$ invariant mass spectrum of the reaction with these two scenarios and compare it with the experimental one to interpret the experimental peak structure.

口頭

Two-body wave functions and compositeness from scattering amplitudes

関原 隆泰

no journal, , 

本講演では、ハドロン複合性の物理的意味と表式を説明し、有効模型における理論計算を示す。特に、束縛状態の2体状態波動関数が散乱振幅の共鳴極の留数に対応する事を示す。これは、リップマン-シュウィンガー方程式を共鳴極上で解くことが束縛状態の波動関数を得る事と同等である、と意味する。続いて、$$Lambda (1405)$$, $$N (1535)$$, $$N (1650)$$等の、カイラルユニタリー模型でダイナミカルに生成される共鳴状態の複合性を評価し、これらの内部構造を複合性から議論する。

口頭

Wave function of a bound state in quantum mechanics

関原 隆泰

no journal, , 

一般的な束縛状態に対して、自動的に規格化された2体状態波動関数を散乱振幅から引き出すことができる。この事実を利用して、ハドロン分子状態の候補の2体状態波動関数を散乱振幅から引き出し、その内部構造を議論できる。

口頭

On the structure observed in the in-flight $$^{3}$$He($$K^{-}, Lambda p)n$$ reaction at J-PARC

関原 隆泰; Oset, E.*; Ramos, A.*

no journal, , 

In this contribution we theoretically investigate what is the origin of the peak structure observed in the E15 experiment at J-PARC. Since the peak exists near the $$K^{-} p p$$ threshold, we expect two scenarios to produce the peak. One is that the $$Lambda (1405)$$ is generated but it does not correlate with $$p$$, and the uncorrelated $$Lambda (1405)$$-$$p$$ system subsequently decays into $$Lambda p$$. The other is that the $$bar{K} N N$$ quasi-bound state is indeed generated and decays into $$Lambda p$$. We calculate the $$Lambda p$$ invariant mass spectrum of the reaction with these two scenarios and compare it with the experimental one to interpret the experimental peak structure.

口頭

Compositeness for the $$N^{ast}$$ and $$Delta ^{ast}$$ resonances from the $$pi N$$ scattering amplitude

関原 隆泰

no journal, , 

$$N^{ast}$$及び$$Delta ^{ast}$$共鳴のメソン-バリオン成分を複合性の観点から調べる。複合性とは、メソン-バリオン散乱振幅から得られる2体波動関数のノルムで定義される。この目的のため、2体波動関数が(Schrodinger方程式ではなく)散乱振幅から得られることを幾つかの模型で示す。続いて、精度よく求められている$$pi N$$散乱振幅から$$N^{ast}$$/$$Delta ^{ast}$$複合性を評価する計画を説明する。

口頭

On the structure observed in the in-flight $$^{3}$$He($$K^{-}, Lambda p)n$$ reaction at J-PARC

関原 隆泰; Oset, E.*; Ramos, A.*

no journal, , 

In this contribution we theoretically investigate what is the origin of the peak structure observed in the E15 experiment at J-PARC. Since the peak exists near the $$K^{-} p p$$ threshold, we expect two scenarios to produce the peak. One is that the $$Lambda (1405)$$ is generated but it does not correlate with $$p$$, and the uncorrelated $$Lambda (1405)$$-$$p$$ system subsequently decays into $$Lambda p$$. The other is that the $$bar{K} N N$$ quasi-bound state is indeed generated and decays into $$Lambda p$$. We calculate the $$Lambda p$$ invariant mass spectrum of the reaction with these two scenarios and compare it with the experimental one to interpret the experimental peak structure.

口頭

中間子交換模型で$$N Omega$$ダイバリオン系は束縛するか?

関原 隆泰; 神谷 有輝*; 兵藤 哲雄*

no journal, , 

最近、数値シミュレーションからハドロン間ポテンシャルを引き出すHAL QCDの手法で、現実よりも重いクォーク質量領域においてスピン・パリティ$$J^{P} = 2^{+}$$$$S$$-波$$N Omega$$系が束縛すると指摘された。本講演では、どのような機構が$$N Omega$$ダイバリオン系に引力相互作用をもたらすのかを突き止めるため、$$N Omega$$間相互作用を中間子交換模型に基づいて構築し、背後にある物理を明らかにする。$$N Omega$$間には、$$eta$$中間子とスカラー・アイソスカラー("$$sigma$$")中間子を交換させる。$$eta$$中間子とバリオンとの結合には、フレーバー対称性を基にした有効ラグランジアンを用いる。一方、"$$sigma$$"中間子交換に関しては、核力にヒントを得た、相関した2中間子の交換を行う。これらの中間子交換による$$N Omega$$間相互作用が引力かどうか、また引力だった場合にそれが$$N Omega$$束縛状態を作るほどに強いかどうかを議論する。

口頭

The $$N Omega$$ interaction; Meson exchanges, inelastic channels, and quasibound state

関原 隆泰; 神谷 有輝*; 兵藤 哲雄*

no journal, , 

Based on a baryon-baryon interaction model with meson exchanges, we investigate the origin of the strong attraction in the $$N Omega$$ ($$^{5}$$S$$_{2}$$) interaction, which was indicated by recent lattice QCD simulations. The long-range part of the potential is constructed by the conventional mechanisms, the exchanges of the $$eta$$ meson and of the correlated two mesons in the scalar-isoscalar channel, denoted by "$$sigma$$" in the literature. The short-range part is represented by the contact interaction. With the present model parameters fit to reproduce the scattering length of the HAL QCD result of the nearly physical quark masses, we obtain the $$N Omega$$ ($$^{5}$$S$$_{2}$$) quasibound state with its eigenenergy $$2611.3 - 0.7i$$ MeV.

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