arXiv subjects
Publications and source records attributed to E. Hiyama.
The structure of the three-body $nnΛ$ system, which has been observed recently by the HypHI collaboration, is investigated taking $ΛN-ΣN$ coupling explicitly into account. The $YN$ and $NN$ interactions employed in this work reproduce the binding energies of $^3_Λ$H, $^4_Λ$H and $^4_Λ$He. We do not find any $^3_Λn$ bound state, which contradicts the interpretation of the data reported by the HypHI collaboration.
The structure of heavy hyperhydrogen $^6_Λ$H is studied within the framework of a $tnnΛ$ four-body cluster model. Interactions among the constituent subunits are determined so as to reproduce reasonably well the observed low-energy properties of the $tn, tΛ$ and $tnn$ subsystems. As long as we reproduce the energy and width of $^5$H within the error bar, the ground state of $^6_Λ$H is obtained as a resonant state.
We study tensor and pairing effects on the quadruple deformation of neon isotopes based on a deformed Skyrme-Hartree-Fock model with BCS approximation for the pairing channel. We extend the Skyrme-Hartree-Fock formalism for the description of single- and double-lambda hypernuclei adopting two different hyperon-nucleon interactions. It is found that the interplay of pairing and tensor interactions is crucial to derive the deformations in several neon isotopes. Especially, the shapes of $^{26,30}$Ne are studied in details in comparisons with experimentally observed shapes. Furthermore the deformations of the hypernuclei are compared with the corresponding neon isotopic cores in the presence of tensor force. We find the same shapes with somewhat smaller deformations for single $Λ$-hypernuclei compared with their core deformations. It is also pointed out that the latest version of hyperon interaction, the ESC08b model, having a deeper $Λ$ potential makes smaller deformations for hypernuclei than those of another NSC97f model.
An experiment with a newly developed high-resolution kaon spectrometer (HKS) and a scattered electron spectrometer with a novel configuration was performed in Hall C at Jefferson Lab (JLab). The ground state of a neutron-rich hypernucleus, He 7 Lambda, was observed for the first time with the (e,e'K+) reaction with an energy resolution of ~0.6 MeV. This resolution is the best reported to date for hypernuclear reaction spectroscopy. The he 7 Lambda binding energy supplies the last missing information of the A=7, T=1 hypernuclear iso-triplet, providing a new input for the charge symmetry breaking (CSB) effect of ΛN potential.
In a previous work [Phys. Rev. A 85, 022502 (2012)] we calculated, with the use of our Gaussian expansion method for few-body systems, the energy levels and spatial structure of the 4He trimer and tetramer ground and excited states using the LM2M2 potential, which has a very strong short-range repulsion. In this work, we calculate the same quantities using the presently most accurate 4He-4He potential [M. Przybytek et al., Phys. Rev. Lett. 104, 183003 (2010)] that includes the adiabatic, relativistic, QED and residual retardation corrections. Contributions of the corrections to the tetramer ground-(excited-)state energy, -573.90 (-132.70) mK, are found to be, respectively, -4.13 (-1.52) mK, +9.37 (+3.48) mK, -1.20 (-0.46) mK and +0.16 (+0.07) mK. Further including other realistic 4He potentials, we calculated the binding energies of the trimer and tetramer ground and excited states, B_3^(0), B_3^(1), B_4^(0) and B_4^(1), respectively. We found that the four kinds of the energies for the different potentials exhibit perfect linear correlations between any two of them over the range of binding energies relevant for 4He atoms (namely, six types of the generalized Tjon lines are given). The dimerlike-pair model for 4He clusters, proposed in the previous work, predicts a simple universal relation B_4^(1)/B_2 =B_3^(0)/B_2 + 2/3, which precisely explains the correlation between the tetramer excited-state energy and the trimer ground-state energy, with B_2 being the dimer binding energy.
We calculated the 4He trimer and tetramer ground and excited states with the LM2M2 potential using our Gaussian expansion method (GEM) for ab initio variational calculations of few-body systems. The method has extensively been used for a variety of three-, four- and five-body systems in nuclear physics and exotic atomic/molecular physics. The trimer (tetramer) wave function is expanded in terms of symmetric three-(four-)body Gaussian basis functions, ranging from very compact to very diffuse, without assuming any pair correlation function. Calculated results of the trimer ground and excited states are in excellent agreement with the literature. Binding energies of the tetramer ground and excited states are obtained to be 558.98 mK and 127.33 mK (0.93 mK below the trimer ground state), respectively. Precisely the same shape of the short-range correlation (r_ij < 4 Å) in the dimer appear in the ground and excited states of the trimer and tetramer. Analyzing the asymptotic wave functions (accurate up to 1000 Å) of those excited states, we propose a model which predicts the binding energy of the first excited state of 4He_N measured from the 4He_{N-1} ground state to be N/2(N-1)xB_2 using dimer binding energy B_2 only; fit in N=3 and 4 is excellent.
The vector analyzing power has been measured for the elastic scattering of neutron-rich 6He from polarized protons at 71 MeV/nucleon making use of a newly constructed solid polarized proton target operated in a low magnetic field and at high temperature. Two approaches based on local one-body potentials were applied to investigate the spin-orbit interaction between a proton and a 6He nucleus. An optical model analysis revealed that the spin-orbit potential for 6He is characterized by a shallow and long-ranged shape compared with the global systematics of stable nuclei. A semimicroscopic analysis with a alpha+n+n cluster folding model suggests that the interaction between a proton and the alpha core is essentially important in describing the p+6He elastic scattering. The data are also compared with fully microscopic analyses using non-local optical potentials based on nucleon-nucleon g-matrices.
Vector analyzing power for the proton-6He elastic scattering at 71 MeV/nucleon has been measured for the first time, with a newly developed polarized proton solid target working at low magnetic field of 0.09 T. The results are found to be incompatible with a t-matrix folding model prediction. Comparisons of the data with g-matrix folding analyses clearly show that the vector analyzing power is sensitive to the nuclear structure model used in the reaction analysis. The alpha-core distribution in 6He is suggested to be a possible key to understand the nuclear structure sensitivity.
Energy levels of the double $Λ$ hypernucleus, $^{11}_{ΛΛ}$Be are calculated within the framework of an $ααn ΛΛ$ five-body model. Interactions between constituent particles are determined so as to reproduce reasonably the observed low-energy properties of the $αα$, $ααn$ nuclei and the existing data for $Λ$-binding energies of the $αΛ$, $ααΛ$, $αn Λ$ and $ααn Λ$ systems. An effective $ΛΛ$ interaction is constructed so as to reproduce, within the $αΛΛ$ three-body model, the $B_{ΛΛ}$ of $^6_{ΛΛ}$He, which was extracted from the emulsion experiment, the NAGARA event. With no adjustable parameters for the $ααn ΛΛ$ system, $B_{ΛΛ}$ of the ground and bound excited states of $^{11}_{ΛΛ}$Be are calculated with the Gaussian Expansion Method. The Hida event, recently observed at KEK-E373 experiment, is interpreted as an observation of the ground state of the $^{11}_{ΛΛ}$Be.
The structure of the T=1 iso-triplet hypernuclei, $^7_Λ$He, $^7_Λ$Li and $^7_Λ$Be within the framework of an $α+Λ+N+N$ four-body cluster model is studied. Interactions between the constituent subunits are determined so as to reproduce reasonably well the observed low-energy properties of the $αN$, $αΛ$, $αNN$ and $αΛN$ subsystems. Furthermore, the two-body $ΛN$ interaction is adjusted so as to reproduce the $0^+$-$1^+$ splitting of $^4_Λ$H. Also a phenomenological $ΛN$ charge symmetry breaking(CSB) interaction is introduced. The $Λ$ binding energy of the ground state in $^7_Λ$He is predicted to be 5.16(5.36) MeV with(without) the CSB interaction. The calculated energy splittings of the $3/2^+$-$5/2^+$ states in $^7_Λ$He and $^7_Λ$Li are around 0.1 MeV. We point out that there is a three-layer structure of the matter distribution, $α$ particle, $Λ$ skin, proton or neutron halo, in the $^7_Λ{\rm He}(J=5/2^+)$, $^7_Λ{\rm Li}(J=5/2^+)$ and $^7_Λ{\rm Be}(J=1/2^+)$ states.
Detailed structure calculations in $^{\: 12}_{Ξ^-}$Be, $^{\: 5}_{Ξ^-}$H, $^{\: 9}_{Ξ^-}$Li, $^{\: 7}_{Ξ^-}$H and $^{\:10}_{Ξ^-}$Li are performed within the framework of the microscopic two-, three- and four-body cluster models using the Gaussian Expansion Method.
Two spin-doublet states of %$3/2^+$-$1/2^+$ and $7/2^+$-$5/2^+$ in $^7_Λ$Li are studied on the basis of the $α+Λ+n+p$ four-body model. We employ the two-body interactions which reproduce the observed properties of any subsystems composed of $αN$, $αΛ$ and $αNN$, and $αΛN$. Furthermore, the $ΛN$ interaction is adjusted so as to reproduce the $0^+$-$1^+$ splitting of in $^4_Λ$H. The calculated energy splittings of $3/2^+$-$1/2^+$ and $7/2^+$-$5/2^+$ states in $^7_Λ$Li are 0.69 MeV and 0.46 MeV, which are in good agreement with the resent observed data. The spin-dependent components of the $ΛN$ interaction are discussed.
Scattering problem of the $uudd{\bar s}$ system, in the standard non-relativistic quark model of Isgur-Karl, is solved for the first time, by treating the large five-body modelspace including the $NK$ scattering channel accurately with the Gaussian expansion method and the Kohn-type coupled-channel variational method. The two-body interaction that reproduces observed properties of ordinary baryons and mesons is applied to the pentaquark system with no additional adjustable parameter. The five-body wave function calculated has the correct asymptotic form in its the scattering-channel component and describes $qq$ and $q{\bar q}$ correlations properly. The $NK$ scattering phase shift calculated shows no resonance in the energy region of the reported pentaquark $Θ^+(1540)$, that is, at 0-500 MeV above the $NK$ threshold ($1.4-1.9$ GeV in mass). The phase shift does show two resonances just above 500 MeV: a broad ${1/2}^+$ resonance with a width of $ Γ\sim~110$ MeV located at $\sim~520$ MeV ($\sim~2.0$ GeV in mass) and a sharp ${1/2}^-$ resonance with $Γ=$0.12 MeV at 540 MeV. Properties of these states are discussed.
Development of the method of CDCC (Continuum-Discretized Coupled-Channels) from the level of three-body CDCC to that of four-body CDCC is reviewed. Introduction of the pseudo-state method based on the Gaussian expansion method for discretizing the continuum states of two-body and three-body projectiles plays an essential role in the development. Furthermore, introduction of the complex-range Gaussian basis functions is important to improve the CDCC for nuclear breakup so as to accomplish that for Coulomb and nuclear breakup. A successful application of the four-body CDCC to $^6$He+$^{12}$C scattering at 18 and 229.8 MeV is reported.
We propose a fully quantum-mechanical method of treating four-body nuclear breakup processes in scattering of a projectile consisting of three constituents, by extending the continuum-discretized coupled-channels method. The three-body continuum states of the projectile are discretized by diagonalizing the internal Hamiltonian of the projectile with the Gaussian basis functions. For $^6$He+$^{12}$C scattering at 18 and 229.8 MeV, the validity of the method is tested by convergence of the elastic and breakup cross sections with respect to increasing the number of the basis functions. Effects of the four-body breakup and the Borromean structure of $^6$He on the elastic and total reaction cross sections are discussed.
We study the role of quark-quark correlation in the baryon structure and, in particular, the hyperon non-leptonic weak decay, which is sensitive to the correlation between quarks in the spin-0 channel. We rigorously solve non-relativistic three-body problem for SU(3) ground state baryons to take into account the quark-pair correlation explicitly. With the suitable attraction in the spin-0 channel, resulting static baryon properties as well as the parity conserving weak decay amplitudes agree with the experimental values. Special emphasis is placed also on the effect of the SU(6) spin-flavor symmetry breaking on the baryon structure. Although the SU(6) breaking effects on the local behavior of the quark wave functions are considerable due to the spin-0 attraction, the calculated magnetic moments are almost the same as the naive SU(6) expectations.
A new method of pseudo-state discretization is proposed for the method of continuum discretized coupled channels (CDCC) to deal with three-body breakup processes. We propose real- and complex-range Gaussian bases for the pseudo-state wave functions, and show that they form in good approximation a complete set in the configuration space which is important for breakup processes. Continuous S-matrix elements are derived with the approximate completeness from discrete ones calculated by CDCC. Accuracy of the method is tested quantitatively for two realistic examples, d+$^{58}$Ni scattering at 80 MeV and $^{6}$Li+$^{40}$Ca scattering at 156 MeV with the satisfactory results. Possibility of application of the method to four-body breakup processes is also discussed.
Energy levels of the double-$Λ$ hypernuclei $_Λ^{}$$_Λ^7$He, $_Λ^{}$$_Λ^7$Li, $_Λ^{}$$_Λ^8$Li, $_Λ^{}$$_Λ^9$Li, $_Λ^{}$$_Λ^9$Be and $_Λ^{}$$_Λ^{10}$Be are predicted on the basis of the $α+x+Λ+Λ$ four-body model with $x=n, p, d, t, ^3$He and $α$, respectively.