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exotic nuclei structure and reaction noyaux exotiques ... - IPN - IN2P3

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ing particles was thus obtained by combining the<br />

information on the beam (P xy <strong>and</strong> θ in ) <strong>and</strong> P′ xy .<br />

Result<br />

The excitation energy (E x ) spectrum of 12 O, produced<br />

from TKE <strong>and</strong> θ e of recoiling tritons, is<br />

shown in Fig. 1. A sharp peak is clearly observed<br />

at 0 MeV, which corresponds to the ground state<br />

of 12 O. One can see another peak at around 2<br />

MeV, indicating an excited state of 12 O. A Gaussian<br />

fit to the spectrum gives a peak energy of 1.8<br />

(4) MeV.<br />

Fig. 1: Excitation energy spectrum of 12 O.<br />

The dashed line denotes the 10 C + 2p decay<br />

threshold at –1.78 MeV. The red-hatched<br />

histogram shows the spectrum gated by θ cm<br />

= 35—45°.<br />

Differential cross sections deduced for the observed<br />

states are shown in Fig. 2 as a function of<br />

the center-of-mass scattering angle (θ cm ). Vertical<br />

bars represent statistical errors only, while the horizontal<br />

ones denote the size of the angular bin. The<br />

data were obtained by analyzing the individual<br />

spectra gated by the each angular bin. An example<br />

of the gated spectra is shown in Fig. 1 by the red<br />

FIG. 2: Differential cross sections of the 14 O<br />

(p,t) 12 O <strong>reaction</strong>. The experimental data are<br />

compared to the distorted-wave calculations<br />

for ΔL = 0 (full), 1 (dot-dashed) <strong>and</strong> 2.<br />

hatched histogram. We performed distorted-wave<br />

calculations with the code FRESCO [10], assuming<br />

a two-neutron cluster transfer. Bound state form<br />

factors for the two-neutron cluster were similar to<br />

those of Ref. [11]. We employed global opticalmodel<br />

potential parameters for proton [12] <strong>and</strong> triton<br />

[13]; use of the recent GDP08 global potential<br />

[14] in the exit channel led to qualitatively similar<br />

results. In Fig. 2, we compare the 14 O(p,t) data with<br />

calculations for ΔL = 0, 1 <strong>and</strong> 2. The pattern of the<br />

ΔL = 1 calculation is clearly incompatible with either<br />

angular distribution. While the ΔL = 0 distributions<br />

most closely match the data for both states,<br />

ΔL = 2 cannot be completely ruled out. We hence<br />

determine the spin-parity of the newly-observed<br />

state at 1.8(4) MeV to be 0 + or 2 + .<br />

Discussion<br />

The E x of the 12 O excited state is remarkably<br />

smaller compared to the second 0 + <strong>and</strong> first 2 +<br />

states of 14,16 O (E x ~ 6 MeV) with a firm shell closure<br />

at Z = 8. In marked contrast, it is much closer<br />

to those of the mirror partner 12 Be at E x ~ 2 MeV.<br />

The lowering of the 2 + <strong>and</strong> 0 + states in 12 Be is attributed<br />

to significant neutron sd-shell configurations.<br />

The lowered excited state in 12 O thus indicates<br />

that the proton shell closure at Z = 8 is diminishing.<br />

This demonstrates the persistence of mirror<br />

symmetry in the disappearance of the magic number<br />

8 between 12 O <strong>and</strong> 12 Be. Implications for the<br />

shell quenching mechanism were discussed in<br />

terms of the shell model <strong>and</strong> the cluster model in<br />

Ref. [1].<br />

References<br />

[1] D. Suzuki, H. Iwasaki, D. Beaumel et al., Phys.<br />

Rev. Lett. 103, 152503 (2009).<br />

[2] E. Pollacco et al., Eur. Phys. J. A 25, 287<br />

(2005).<br />

[3] D. E. Alburger et al., Phys. Rev. C 17, 1525<br />

(1978).<br />

[4] H. Iwasaki et al., Phys. Lett. B 491, 8 (2000).<br />

[5] S. Shimoura et al., Phys. Lett. B 560, 31 (2003).<br />

[6] P. Dolégéiviez et al., Nucl. Instrum. Methods A<br />

564, 32 (2006).<br />

[7] A. Joubert et al., in Proceedings of the Second<br />

Conference of the IEEE Particle Accelerator (IEEE,<br />

New York, NY, 1991), p. 594.<br />

[8] L. Bianchi et al., Nucl. Instrum. Methods A 276,<br />

509 (1989).<br />

[9] S. Ottini-Hustache et al., Nucl. Instrum. Methods<br />

A 431, 476 (1999).<br />

[10] I. J. Thompson, Comput. Phys. Rep. 7, 167<br />

(1988).<br />

[11] N. Keeley et al., Phys. Lett. B 646, 222 (2007).<br />

[12] A. J. Koning <strong>and</strong> J. P. Delaroche, Nucl. Phys.<br />

A 713, 231 (2003).<br />

[13] F. D. Becchetti <strong>and</strong> G. W. Greenless, Polarization<br />

Phenomena in Nuclear Reactions (The University<br />

of Wisconsin Press, Madison, 1971).<br />

[14] D. Y. Pang et al., Phys. Rev. C 79, 024615<br />

(2009).<br />

22

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