2017
DOI: 10.1007/s11433-017-9048-2
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Configuration mixing in low-lying spectra of carbon hypernuclei

Abstract: We perform a coupled-channels study of the low-lying states in $^{13,15,17,19}_{~~~~~~~~~~~~~~~~~~~~~\Lambda}$C with a covariant energy density functional based microscopic particle-core coupling model. The energy differences of $1/2^-$ and $3/2^-$ states in $^{13}_\Lambda$C and $^{15}_\Lambda$C are predicted to be 0.25 MeV and 0.34 MeV, respectively. We find that configuration mixings in the $1/2^-$ and $3/2^-$ states of $^{15}_\Lambda$C are the weakest among those of $^{13,15,17,19}_{~~~~~~~~~~~~~~~~~~~~~\La… Show more

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Cited by 8 publications
(3 citation statements)
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“…It has been found that the low-lying positive-parity states of eveneven-one hypernuclei can be well described with the single configuration [ A−1 Z(I + )⊗Λs 1/2 ] J . In contrast, there is a large configuration mixing between the two components [ A−1 Z(I + )⊗Λp 1/2 ] J and [ A−1 Z(I ±2 + )⊗Λp 3/2 ] J in the hypernuclear 1/2 − 1 , 3/2 − 1 states, as illustrated in both samarium [25] and carbon [27] hypernuclei. The mixing weight increases as the collective correlation of nuclear core becomes stronger.…”
Section: Introductionmentioning
confidence: 99%
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“…It has been found that the low-lying positive-parity states of eveneven-one hypernuclei can be well described with the single configuration [ A−1 Z(I + )⊗Λs 1/2 ] J . In contrast, there is a large configuration mixing between the two components [ A−1 Z(I + )⊗Λp 1/2 ] J and [ A−1 Z(I ±2 + )⊗Λp 3/2 ] J in the hypernuclear 1/2 − 1 , 3/2 − 1 states, as illustrated in both samarium [25] and carbon [27] hypernuclei. The mixing weight increases as the collective correlation of nuclear core becomes stronger.…”
Section: Introductionmentioning
confidence: 99%
“…The mixing weight increases as the collective correlation of nuclear core becomes stronger. Based on the nature of these two states, it was suggested that the spin-orbit splitting size of p Λ hyperon state might be overestimated using the data of 13 Λ C. Moreover, 15 Λ C was suggested to be the best candidate among the carbon hypernuclei to study the spin-orbit splitting of p Λ hyperon state [27].…”
Section: Introductionmentioning
confidence: 99%
“…The excitation energies E x (in unit of MeV) of the lowest 1/2 − and 3/2 − states and their energy splittings in carbon hypernuclei. Taken from Ref [32]…”
mentioning
confidence: 99%