COUPLED-CHANNEL CALCULATION OF BOUND AND RESONANT SPECTRA OF $^9_\Lambda{\rm Be}$ AND $^{13}_\Lambda\rm C$ HYPERNUCLEI

Canton, L.; Amos, K.; Karataglidis, S.; Svenne, J. P.

doi:10.1142/s0218301310015849

Cited by 2 publications

(5 citation statements)

References 41 publications

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“…In contrast, the available data indicate that the 5/2 + 1 state is slightly lower than the 3/2 + 1 state. This discrepancy may be due to the spin-spin N Λ interaction [41], which is missing in the present calculations.…”

Section: B Effects Of the Derivative Coupling Termscontrasting

confidence: 58%

Low-energy hypernuclear spectra within a microscopic particle-rotor model with a relativistic point-coupling hyperon-nucleon interaction

et al. 2016

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We extend the microscopic particle-rotor model for hypernuclear low-lying states by including the derivative and tensor coupling terms in the point-coupling nucleon-Λ particle (N Λ) interaction. Taking 13 Λ C as an example, we show that a good overall description for excitation spectra is achieved with four sets of effective N Λ interaction. We find that the Λ hyperon binding energy decreases monotonically with increasing the strengths of the high-order interaction terms. In particular, the tensor coupling term decreases the energy splitting between the first 1/2 − and 3/2 − states and increases the energy splitting between the first 3/2 + and 5/2 + states in 13 Λ C. PACS numbers: 21.80.+a, 23.20.-g, 21.60.Jz,21.10.-k II. MICROSCOPIC PARTICLE-ROTOR MODEL FOR Λ HYPERNUCLEIIn this paper, we consider a single-Λ hypernucleus and describe the hypernuclear low-lying states using the microscopic particle-rotor model (MPRM). Since the detailed formulas for the MPRM have been given in Refs. [29,30], we give here only the main formulas of this approach. To this end, we put a particular emphasis on the implementation of the higher-order N Λ interaction terms.The basic idea of the MPRM is to construct a hyper-

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Section: B Effects Of the Derivative Coupling Termscontrasting

confidence: 58%

Low-energy hypernuclear spectra within a microscopic particle-rotor model with a relativistic point-coupling hyperon-nucleon interaction

et al. 2016

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“…Table III shows the calculated E2 transition strengths for low-lying positive parity states of the hypernucleus and the corresponding core nucleus. In order to remove the trivial factor due to the angular momentum coupling for s 1/2 for the Λ particle and see more clearly the impurity effect of Λ particle on nuclear collectivity, we define the cB(E2) value (that is, the B(E2) value for the core [55], the 3α + Λ cluster model [56], and the experimental data [1].…”

Section: Coupled-channels Calculationsmentioning

confidence: 99%

“…10(d)). Figure 13 shows a comparison of low-energy excitation spectra of 13 Λ C obtained with the present microscopic particle-rotor model (MPRM), the multi-channel algebraic scattering (MCAS) approach [55], and the 3α + Λ cluster model [56], together with the experimen- tal data [1]. The basic idea of MCAS approach for Λ hypernuclei [55] is similar to the microscopic PRM model in a sense that the hypernuclear wave function is given by the Λ hyperon coupled to the low-lying states of nuclear core.…”

Section: Table Imentioning

confidence: 99%

“…Figure 13 shows a comparison of low-energy excitation spectra of 13 Λ C obtained with the present microscopic particle-rotor model (MPRM), the multi-channel algebraic scattering (MCAS) approach [55], and the 3α + Λ cluster model [56], together with the experimen- tal data [1]. The basic idea of MCAS approach for Λ hypernuclei [55] is similar to the microscopic PRM model in a sense that the hypernuclear wave function is given by the Λ hyperon coupled to the low-lying states of nuclear core. In contrast to our full microscopic models, in which all the inputs are from the multi-reference CDFT calculation, the MCAS approach adopts the experimental data for the energies of nuclear core states with an assumption of a pure collective rotational states and a phenomenological deformed Woods-Saxon potential for the coupling potentials.…”

Section: Table Imentioning

confidence: 99%

“…In order to remove the trivial factor due to the angular momentum coupling for s 1/2 for the Λ particle and see more clearly the impurity effect of Λ particle on nuclear collectivity, we define the cB(E2) value (that is, the B(E2) value for the core FIG. 13: (Color online) A comparison of low-energy excitation spectra of 13 Λ C obtained with the present microscopic particlerotor model (MPRM), the multi-channel algebraic scattering (MCAS) approach [55], the 3α + Λ cluster model [56], and the experimental data [1].…”

Section: Table Imentioning

confidence: 99%

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Microscopic study of low-lying spectra ofΛhypernuclei based on a beyond-mean-field approach with a covariant energy density functional

et al. 2015

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We present a detailed formalism of the microscopic particle-rotor model for hypernuclear low-lying states based on a covariant density functional theory. In this method, the hypernuclear states are constructed by coupling a hyperon to low-lying states of the core nucleus, which are described by the generator coordinate method (GCM) with the particle number and angular momentum projections. We apply this method to study in detail the low-lying spectrum of 13 Λ C and 21 Λ Ne hypernuclei. We also briefly discuss the structure of 155 Λ Sm as an example of heavy deformed hypernuclei. It is shown that the low-lying excitation spectrum with positive parity states of the hypernuclei, which are dominated by Λ hyperon in s-orbital coupled to the core states, are similar to that for the corresponding core states, while the electric quadrupole transition strength, B(E2), from the 2 + 1 state to the ground state is reduced according to the mass number of the hypernuclei. Our study indicates that the energy splitting between the first 1/2 − and 3/2 − hypernuclear states is generally small for all the hypernuclei which we study. However, their configurations depend much on the properties of a core nucleus, in particular on the sign of deformation parameter. That is, the first 1/2 − and 3/2 − states in 13 Λ C are dominated by a single configuration with Λ particle in the p-wave orbits and thus providing good candidates for a study of the Λ spin-orbit splitting. On the other hand, those states in the other hypernuclei exhibit a large configuration mixing and thus their energy difference cannot be interpreted as the spin-orbit splitting for the p-orbits.

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COUPLED-CHANNEL CALCULATION OF BOUND AND RESONANT SPECTRA OF $^9_\Lambda{\rm Be}$ AND $^{13}_\Lambda\rm C$ HYPERNUCLEI

Abstract: A multi-channel algebraic scattering (MCAS) approach has been used to analyze the spectra of two hypernuclear systems, 9 Λ Be and 13 Λ C. The splitting of the two odd-parity excited levels ( 1

Cited by 2 publications

References 41 publications

Low-energy hypernuclear spectra within a microscopic particle-rotor model with a relativistic point-coupling hyperon-nucleon interaction

Low-energy hypernuclear spectra within a microscopic particle-rotor model with a relativistic point-coupling hyperon-nucleon interaction

Microscopic study of low-lying spectra ofΛhypernuclei based on a beyond-mean-field approach with a covariant energy density functional

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