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The Ground and Excitation Levels of the Trimer
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作者 You Pu(Department of Physics, Wuhan University, Wuhan 430072,China) 《Wuhan University Journal of Natural Sciences》 CAS 1998年第2期163-164,共2页
The ground and excited levels of the trimer (4He)3 are obtained theoretically by solving the 2-D Faddeev integral equation in the momentum space. In solving the equation, the direct matrix inversion method (I. M.) is ... The ground and excited levels of the trimer (4He)3 are obtained theoretically by solving the 2-D Faddeev integral equation in the momentum space. In solving the equation, the direct matrix inversion method (I. M.) is used instead of the iteration and Pade approximate method. The new HFD-B Aziz potential ν is used in the calculation. 展开更多
关键词 TRIMER faddeev equation matrix inversion method
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Faddeev calculations on lambda hypertriton with potentials from Gel'fand–Levitan–Marchenko theory
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作者 E F Meoto M L Lekala 《Communications in Theoretical Physics》 SCIE CAS CSCD 2020年第10期119-124,共6页
Effective lambda-proton and lambda-neutron potentials,restored from theoretical scattering phases through Gel'fand–Levitan–Marchenko theory,are tested on a lambda hypertriton through three-body calculations.The ... Effective lambda-proton and lambda-neutron potentials,restored from theoretical scattering phases through Gel'fand–Levitan–Marchenko theory,are tested on a lambda hypertriton through three-body calculations.The lambda hypertriton is treated as a three-body system consisting of lambda-proton,lambda-neutron and proton–neutron subsystems.Binding energy and root mean square radius are computed for the ground state of lambda hypertriton(Jp=12+).In coordinate space,the dynamics of the system is described using a set of coupled hyperradial equations obtained from the differential Faddeev equations.By solving the eigenvalue problem derived from this set of coupled hyperradial equations,the binding energy and root mean square matter radius computed are found to be-2.462 MeV and 7.00 fm,respectively.The potentials are also shown to display a satisfactory convergence behaviour. 展开更多
关键词 lambda-nucleon potential lambda-proton potential lambda-neutron potential lambda hypertriton faddeev equations hyperspherical method
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Hadron properties from QCD bound-state equations: A status report
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作者 R.Alkofer G.Eichmann +1 位作者 A.Krassnigg D.Nicmorus 《Chinese Physics C》 SCIE CAS CSCD 2010年第9期1175-1180,共6页
Employing an approach based on the Green functions of Landau-gauge QCD,some selected results from a calculation of meson and baryon properties are presented.A rainbow-ladder truncation to the quark Dyson-Schwinger equ... Employing an approach based on the Green functions of Landau-gauge QCD,some selected results from a calculation of meson and baryon properties are presented.A rainbow-ladder truncation to the quark Dyson-Schwinger equation is used to arrive at a unified description of mesons and baryons by solving BetheSalpeter and covariant Faddeev equations,respectively. 展开更多
关键词 functional approaches Bethe-Salpeter equation covariant faddeev equation
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Three-body model for neutron-halo nuclei 被引量:1
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作者 褚衍运 陈双 任中洲 《Chinese Physics C》 SCIE CAS CSCD 北大核心 2008年第12期972-975,共4页
The neutron-halo nuclei, ^11Li, ^14Be, and ^17B, are studied in the three-body model. The Yukawainteraction is used to describe the interaction of the two-body subsystem. For given parameters ot the twobody interactio... The neutron-halo nuclei, ^11Li, ^14Be, and ^17B, are studied in the three-body model. The Yukawainteraction is used to describe the interaction of the two-body subsystem. For given parameters ot the twobody interaction, the properties of these neutron-halo nuclei are calculated with the Faddeev equations and the results are compared with those in the variational method. It is shown that the method of the Faddeev equations is more accurate. Then the dependencies of the two- and three-body energies on the parameters are studied. We find numerically that two- and three-body correlations differ greatly from each other with the variation of the intrinsic force range. 展开更多
关键词 neutron-halo nuclei three-body model faddeev equation
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Exploring the light-quark interaction
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作者 常雷 Ian C. CLOЁT +2 位作者 Bruno El-BENNICH Thomas KLHN Craig D. ROBERTS 《Chinese Physics C》 SCIE CAS CSCD 2009年第12期1189-1196,共8页
Two basic motivations for an upgraded JLab facility are the needs: to determine the essential nature of light-quark confinement and dynamical chiral symmetry breaking (DCSB); and to understand nucleon structure and... Two basic motivations for an upgraded JLab facility are the needs: to determine the essential nature of light-quark confinement and dynamical chiral symmetry breaking (DCSB); and to understand nucleon structure and spectroscopy in terms of QCD's elementary degrees of freedom. During the next ten years a programme of experiment and theory will be conducted that can address these questions. We present a Dyson- Schwinger equation perspective on this effort with numerous illustrations, amongst them: an interpretation of string^breaking; a symmetry-preserving truncation for mesons; the nucleon's strangeness σ-term; and the neutron's charge distribution. 展开更多
关键词 Bethe-Salpeter equations BOUND-STATES CONFINEMENT dynamical chiral symmetry breaking Dyson-Schwinger equations faddeev equation nucleon electromagnetic form factors
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Deuteron inelastic scattering on ^(6)Li and ^(7)Li nuclei within the three-body cluster model
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作者 M.V.Egorov V.I.Postnikov 《Chinese Physics C》 SCIE CAS CSCD 2021年第1期286-296,共11页
The problem of the deuteron interaction with lithium nuclei,treated as a system of two coupled pointlike clusters,is formulated to calculate the cross sections of the d+Li reaction.The d+Li reaction mechanism is descr... The problem of the deuteron interaction with lithium nuclei,treated as a system of two coupled pointlike clusters,is formulated to calculate the cross sections of the d+Li reaction.The d+Li reaction mechanism is described using the Faddeev theory for the three-body problem of deuteron-nucleus interaction.This theory is slightly extended for calculation of the stripping processes ^6Li(d,p)^7Li,^7Li(d,p)^8 ,^6Li(d,n)^7 Be,and ^7Li(d,n)^8 Be,as well as fragmentation reactions yielding tritium,a-particles,and continuous neutrons and protons in the initial deuteron kineticenergy region Ed=0.5-20 MeV.The phase shifts found for d+^6Li and d+^7Li elastic scattering,as part of the simple optic model with a complex central potential,were used to find the cross sections for the 6^Li(d,yM)^8 and ^7Li(d,yE1)^9 Be radiation captures.The three-body dynamics role is also summarized to demonstrate its significant influence within the d+^7Li system. 展开更多
关键词 deuteron-Li faddeev equation inelastic scattering cluster model
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Two-neutron halo state of ^(15)B around 3.48 MeV by a three-body model
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作者 Dong Bai Zhongzhou Ren Tiekuang Dong 《Chinese Physics C》 SCIE CAS CSCD 2018年第6期73-78,共6页
We investigate low-lying bound states of the neutron-rich nucleus ^15B by assuming it is a three-body system made of an inert core 13 B and two valence neutrons. The three-body wave functions are obtained using the Fa... We investigate low-lying bound states of the neutron-rich nucleus ^15B by assuming it is a three-body system made of an inert core 13 B and two valence neutrons. The three-body wave functions are obtained using the Faddeev formalism. Special attention is paid to the excited state at 3.48(6) MeV observed in the 13 C(14 C,12 N)15 B reaction, whose properties are less clear theoretically. In our three-body model, besides the ground state 3/21, a second 3/22^-state is discovered at around 3.61 MeV, which might be identified with the excited state observed at3.48(6) MeV. We study this 3/22^-state in detail. It turns out to be a two-neutron halo state with a large matter radius rm≈4.770 fm. &nbsp 展开更多
关键词 two-neutron halo boron isotopes three-body system faddeev equation
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Ξ^-t quasibound state instead of ΛΛnn bound state
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作者 H.Garcilazo A.Valcarce J.Vijande 《Chinese Physics C》 SCIE CAS CSCD 2020年第2期94-100,共7页
The coupledΛΛnn-Ξ-pnn system was studied to investigate whether the inclusion of channel coupling is able to bind theΛΛnn system.We use a separable potential three-body model of the coupledΛΛnn-Ξ-pnn system an... The coupledΛΛnn-Ξ-pnn system was studied to investigate whether the inclusion of channel coupling is able to bind theΛΛnn system.We use a separable potential three-body model of the coupledΛΛnn-Ξ-pnn system and a variational four-body calculation with realistic interactions.Our results exclude the possibility of aΛΛnn bound state by a large margin.Instead,we found aΞ-t quasibound state above theΛΛnn threshold. 展开更多
关键词 baryon-baryon interactions few-body systems faddeev equations
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ΛΛN−ΞNN S wave resonance
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作者 H.Garcilazo A.Valcarce 《Chinese Physics C》 SCIE CAS CSCD 2020年第10期124-128,共5页
We use an existing model of theΛΛN−ΞNN three-body system based on two-body separable interactions to study the(I,JP)=(1/2,1/2+)three-body channel.For theΛΛ,ΞN,andΛΛ−ΞN amplitudes,we have constructed separable... We use an existing model of theΛΛN−ΞNN three-body system based on two-body separable interactions to study the(I,JP)=(1/2,1/2+)three-body channel.For theΛΛ,ΞN,andΛΛ−ΞN amplitudes,we have constructed separable potentials based on the most recent results of the HAL QCD Collaboration.They are characterized by the existence of a resonance just below or above theΞN threshold in the H-dibaryon channel,(i,jp)=(0,0+).A three-body resonance appears 2.3 MeV above theΞd threshold.We show that if theΛΛ−ΞN H-dibaryon channel is not considered,theΛΛN−ΞNN S wave resonance disappears.Thus,the possible existence of aΛΛN−ΞNN resonance would be sensitive to theΛΛ−ΞN interaction.The existence or nonexistence of this resonance could be evidenced by measuring,for example,theΞd cross section. 展开更多
关键词 baryon-baryon interactions faddeev equations
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