Shell-model description of Λ hypernuclei

Millener, D.J.

doi:10.1016/s0375-9474(01)01013-2

Cited by 63 publications

(45 citation statements)

References 12 publications

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“…The ground state of 12 Λ C is assumed to be a single state. Indeed, it is known that it consists of a (1 − , 2 + ) doublet, but theoretical calculations predict splittings of 70 keV [24], 80 keV [25] and 140 keV [26] between them, one order of magnitude smaller than the present instrumental resolution. The peak at about 0.…”

Section: Data Taking and Apparatus Performancesmentioning

confidence: 60%

First results on 12ΛC production at DAΦNE

Agnello

Beer

Benussi³

et al. 2005

Physics Letters B

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AbstractΛ-hypernuclei are produced and studied, with the FINUDA spectrometer, for the first time at an e + e − collider: DAΦNE, the Frascati φ-factory. The slow negative kaons from φ(1020) decay are stopped in thin (0.2 g/cm 2 ) nuclear targets, and Λ-hypernuclei formation is detected by measuring the momentum of the outgoing π − . A preliminary analysis on 12 Λ C shows an energy resolution of 1.29 MeV FWHM on the hypernuclear levels, the best obtained so far with magnetic spectrometers at hadron facilities. Capture rates for the ground state and the excited ones are reported, and compared with previous experiments.PACS: 21.80.+a

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Section: Data Taking and Apparatus Performancesmentioning

confidence: 60%

First results on 12ΛC production at DAΦNE

Agnello

Beer

Benussi³

et al. 2005

Physics Letters B

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“…Sophisticated AMD calculation [14] has shown that the low-lying states of 12 C have a mixed nature between the 0p 3/2 subshell closure configuration and the 3α cluster structure, and the mixing strength is different for each state. Since the particle changes the deformation and spin properties of 12 C, it will have influence on the N spin-orbit splitting of 13 C [38][39][40].…”

Section: B Discussion On Each Hypernucleusmentioning

confidence: 99%

Deformation of hypernuclei studied with antisymmetrized molecular dynamics

et al. 2011

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An extended version of antisymmetrized molecular dynamics was developed to study the structure of p-sd shell hypernuclei. By using an effective N interaction, we investigated the energy curves of 9 Be, 13 C, and 20,21 Ne as a function of nuclear quadrupole deformation. The changes to nuclear deformation caused by particles are discussed. We found that in the p wave enhances nuclear deformation, while that in the s wave reduces it. This effect is most prominent in 13 C. The possibility of parity inversion in 20 Ne is also examined.

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“…Therefore the magnetic • ), ϕ p1 is most deeply bound, and ϕ p2 and ϕ p3 are energetically degenerated. This is similar to the p states of 9 Be where the ϕ p1 corresponds to the lowest p state, the so-called supersymmetric [5] (or genuine hypernuclear [20]) state. With oblate deformation (γ = 60…”

Section: Gcm Calculationmentioning

confidence: 59%

“…Furthermore, many authors have predicted the deformation change in p-sd shell hypernuclei by adding the hyperon in s orbit [1,2,[5][6][7][8][9][10][11][12][13][14][15][16][17][18][19].…”

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Splitting of theporbit in triaxially deformedΛ25Mg

et al. 2013

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The excited states of 25 Mg with the hyperon in p orbit are studied within the framework of the antisymmetrized molecular dynamics for hypernuclei. We obtained five rotational bands in 25 Mg in which the hyperon in p orbit is coupled to the ground and K π = 2 + bands of 24 Mg. We predict that the corresponding bands of 25 Mg energetically split due to the triaxial deformation of the core nucleus 24 Mg and the spatial anisotropy of the p orbits of . Since a hyperon is unaffected by the Pauli principle governing the nucleons, it can be regarded as an impurity in nuclei and modifies nuclear properties such as clustering and deformation. For example, a hyperon in s orbit reduces the intercluster distance between α and d in 7 Li, which was confirmed from the reduction of B(E2) [1][2][3][4]. Furthermore, many authors have predicted the deformation change in p-sd shell hypernuclei by adding the hyperon in s orbit [1,2,[5][6][7][8][9][10][11][12][13][14][15][16][17][18][19].In the case of the hyperon in p orbit, on which we focus in this study, it can be regarded as a probe of nuclear deformation due to its spatial anisotropy. For example, in 9 Be, the splitting of the p states was predicted due to the axial symmetric deformation (2α clustering) of 8 Be [5,20]. Namely, the hyperon in p orbit generates two rotational bands in which moves along the parallel and perpendicular directions of the 2α clustering [20]. In other words, the anisotropy of the p orbit and axially symmetric deformation of 8 Be lead to the splitting of the p states. From this fact, we may deduce that the p states will split into three in the case of triaxial deformation, and we can probe triaxial deformation of the core nucleus by the observation of three different p states in hypernuclei. 24 Mg is one of the candidates of triaxially deformed nuclei with the presence of the low-lying 2 + 2 state [21][22][23][24][25][26]. Therefore, we expect that the p states of 25 Mg will split into three with different spatial density distribution of the hyperon. To investigate the splitting of p states of 25 Mg and its relation to triaxial deformation, we have employed the antisymmetrized molecular dynamics for hypernuclei (HyperAMD) [27]. The HyperAMD with generator coordinate method (GCM) has been successfully applied to investigate the excitation spectra and B(E2) values of 25 Mg with the hyperon in s orbit [28]. The Hamiltonian used in this study is given aŝHere,T N ,T , andT g are the kinetic energies of nucleons, a hyperon, and the center-of-mass motion, respectively. We have used the Gogny D1S The intrinsic wave function of a single hypernucleus composed of A nucleons and a hyperon is described by the parity-projected wave function, π =P π int , whereP π is the parity projector and int is the intrinsic wave function given as where φ i is ith nucleon single-particle wave packet consisting of spatial, spin χ i , and isospin η i parts. The single-particle wave function of (ϕ) is represented by a superposition of

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Shell-model description of Λ hypernuclei

Cited by 63 publications

References 12 publications

First results on 12ΛC production at DAΦNE

First results on 12ΛC production at DAΦNE

Deformation of hypernuclei studied with antisymmetrized molecular dynamics

Splitting of theporbit in triaxially deformedΛ25Mg

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