Varying shell gap and deformation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi><mml:mi>∼</mml:mi><mml:mn>20</mml:mn></mml:math>unstable nuclei studied by the Monte Carlo shell model

Utsuno, Yutaka; Otsuka, Takaharu; Mizusaki, T.; Honma, Michio

doi:10.1103/physrevc.60.054315

Cited by 451 publications

(472 citation statements)

References 39 publications

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“…The calculation is performed with the conventional shell model, where the model space has been truncated so that the neutrons are allowed to occupy up to 4p-3h configurations for positive parity and up to 5p-4h configurations for negative parity. Thus, the shell gaps adopted are the same as in the paper [44], and the calculation has been performed considering the ground state as 1/2 + , 3/2 + , and 5/2 + . Table II shows a comparison of the spectroscopic factors obtained from the present Coulomb breakup experiment, previous knockout measurements [29], and theoretical calculations using the SDPF-M interaction for the ground-state spin and parity of 35 Al as 5/2 + .…”

Section: Discussionmentioning

confidence: 99%

“…But the situation for the d component is different and the spectroscopic factor is in agreement in two methods, considering error, with a 99% confidence limit. To understand further details, the measured spectroscopic factors have been compared with the shell model calculation using the original SDPF-M interaction [44,45]. The calculation is performed with the conventional shell model, where the model space has been truncated so that the neutrons are allowed to occupy up to 4p-3h configurations for positive parity and up to 5p-4h configurations for negative parity.…”

Section: Discussionmentioning

confidence: 99%

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Ground-state configuration of neutron-rich Al35 via Coulomb breakup

Chakraborty¹,

Pramanik²,

Aumann³

et al. 2017

Phys. Rev. C

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The ground-state configuration of 35 Al has been studied via Coulomb dissociation (CD) using the LAND-FRS setup (GSI, Darmstadt) at a relativistic energy of ∼403 MeV/nucleon. The measured inclusive differential CD cross section for 35 Al, integrated up to 5.0 MeV relative energy between the 34 Al core and the neutron using a Pb target, is 78(13) mb. The exclusive measured CD cross section that populates various excited states of 34 Al is 29(7) mb. The differential CD cross section of 35 Al → 34 Al + n has been interpreted in the light of a direct breakup model, and it suggests that the possible ground-state spin and parity of 35 Al could be, tentatively, 1/2 + or 3/2 + or 5/2 + . The valence neutrons, in the ground state of 35 Al, may occupy a combination of either l = 3,0 or l = 1,2 orbitals coupled with the 34 Al core in the ground and isomeric state(s), respectively. This hints of a particle-hole configuration of the neutron across the magic shell gaps at N = 20,28 which suggests narrowing the magic shell gap. If the 5/2 + is the ground-state spin-parity of 35 Al as suggested in the literature, then the major ground-state configuration of 35 Al is a combination of 34 Al(g.s.; 4 − ) ⊗ ν p 3/2 and 34 Al(isomer; 1 + ) ⊗ ν d 3/2 states. The result from this experiment has been compared with that from a previous knockout measurement and a calculation using the SDPF-M interaction.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Ground-state configuration of neutron-rich Al35 via Coulomb breakup

Chakraborty¹,

Pramanik²,

Aumann³

et al. 2017

Phys. Rev. C

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“…3, well reproducing the evolution of the energy levels. In order to see the interplay between the shell evolution and correlation, the effective single-particle energies (ESPE) [24] are also presented in Fig. 3.…”

Section: -P4mentioning

confidence: 99%

Recent shell-model results for exotic nuclei

Utsuno

Otsuka

Shimizu

et al. 2014

EPJ Web of Conferences

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Abstract. We report on our recent advancement in the shell model and its applications to exotic nuclei, focusing on the shell evolution and large-scale calculations with the Monte Carlo shell model (MCSM). First, we test the validity of the monopole-based universal interaction (V MU ) as a shell-model interaction by performing large-scale shellmodel calculations in two different mass regions using effective interactions which partly comprise V MU . Those calculations are successful and provide a deeper insight into the shell evolution beyond the single-particle model, in particular showing that the evolution of the spin-orbit splitting due to the tensor force plays a decisive role in the structure of the neutron-rich N ∼ 28 region and antimony isotopes. Next, we give a brief overview of recent developments in MCSM, and show that it is applicable to exotic nuclei that involve many valence orbits. As an example of its applications to exotic nuclei, shape coexistence in 32 Mg is examined.

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“…For instance, the 0 + 2 state of 16 O is regarded as an α particle weakly coupled to 12 C. According to the weak-coupling model [9], this excitation energy is given by S α ( 16 O) − S α ( 20 Ne) + 16E ph , where S α is the separation energy of an α particle, and E ph is the particle-hole interaction which is weak. As seen in Fig.…”

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confidence: 99%

“…It should be noted that the N = Z = 20 shell gap was estimated to decrease from 7.3 to 6.0 MeV when one includes the particle-hole excitations of the lowest order (i.e., 2p-2h for 40 Ca, for instance), adopting the single-particle space consisting of the full sd shell and the lower two pf orbits [12]. This is due to the correlation energy which is smaller in 39,41 Ca than in 40 Ca, like what happens around N = Z = 8.…”

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confidence: 99%