Structure of low-lying 12C resonances

Álvarez-Rodríguez, R.; Garrido, E.; Jensen, A. S.; Fedorov, D. V.; Fynbo, H. O. U.

doi:10.1140/epja/i2006-10298-x

Cited by 62 publications

(134 citation statements)

References 40 publications

(91 reference statements)

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“…The high energy of our 0 + 3 state is also consistent with the 11.3 MeV, o = 1 MeV, 0 + state reproduced in 3α cluster calculations [38]. Both the 0 + 3 and the 2 + 2 states are very broad, indicating a high degree of clustering in these states.…”

Section: Discussionsupporting

confidence: 87%

R-matrix analysis of theβdecays ofN12
Hyldegaard¹,
Alcorta²,
Bastin³
et al. 2010
Phys. Rev. C
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The β decays of 12 N and 12 B have been studied at KVI and JYFL to resolve the composition of the broad and interfering 0 + and 2 + strengths in the triple-α continuum. For the first time a complete treatment of 3α decay is presented including all major breakup channels. A multilevel, many-channel R-matrix formalism has been developed for the complete description of the breakup in combination with the recently published separate analysis of angular correlations. We find that, in addition to the Hoyle state at 7.65 MeV, more than one 0 + and 2 + state is needed to reproduce the spectra. Broad 0 + 3 and 2 + 2 states are found between 10.5 and 12 MeV in this work. The presence of β strength up to the 12 N Q-value window suggests the presence of additional 0 + and 2 + components in the 12 C structure at energies above 12.7 MeV.

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Section: Discussionsupporting

confidence: 87%

R-matrix analysis of theβdecays ofN12
Hyldegaard¹,
Alcorta²,
Bastin³
et al. 2010
Phys. Rev. C
Self Cite
62
7
41
0
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“…The most interesting and frequently investigated of these systems are approximated by a three-body structure. Extensions to excited three-body continuum states are now being pursued and attracting a lot of attention [8][9][10][11][12]. To get accurate three-body wave functions the Faddeev decomposition with different Jacobi coordinates is employed in coordinate space computations [13].…”

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confidence: 99%

Cluster sum rules for three-body systems with angular-momentum dependent interactions

et al. 2008

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We derive general expressions for non-energy-weighted and energy-weighted cluster sum rules for systems of three charged particles. The interferences between pairs of particles are found to play a substantial role. The energy-weighted sum rule is usually determined by the kinetic energy operator, but we demonstrate that it has similar additional contributions from the angular momentum and parity dependence of two-and three-body potentials frequently used in three-body calculations. I. MOTIVATIONThe use of sum rules in quantum mechanics is well established and abundantly applied for many different systems [1,2]. The prominent examples are the transitions from a given quantum state induced by an electromagnetic multipole operator. For any multipole operator acting on an initial state, the sum of all the related transition probabilities multiplied by powers of the excitation energy are completely determined by the properties of the initial state [3,4].The sum rules exist in general for any many-body quantum system. Of specific interest are those systems where the constituents clusterize, such that the degrees of freedom can be divided into the internal ones corresponding to each cluster and those associated with the relative motion of the clusters [5]. Then the different multipole operators can be decomposed into terms depending on the intrinsic coordinates of each cluster and an additional term depending only on the relative coordinates of the centers of mass of the clusters. This operator structure then leaves two sum rules showing the same decomposition: the sum rules associated with each individual cluster (depending only on the properties of the initial cluster state) plus the cluster sum rule (depending on the properties of the few-body initial wave function). Examples are found in Refs. [6,7], where the dipole non-energy-weighted and dipole energy-weighted sum rules are obtained for many-body systems clusterizing into a two-body system. When a clusterized system can be properly described as a few-body system where the internal cluster degrees of freedom are frozen, only the cluster sum rules remain, corresponding to the much smaller Hilbert space of ground and excited states of the relative cluster motion. This kind of few-body descriptions have been extensively used in nuclear physics during the past 10-15 years in connection with halos and weakly bound states in general [5]. The most interesting and frequently investigated of these systems are approximated by a three-body structure. Extensions to excited three-body continuum states are now being pursued and attracting a lot of attention [8][9][10][11][12]. To get accurate three-body wave functions the Faddeev decomposition with different Jacobi coordinates is employed in coordinate space computations [13]. The unavoidable transformation from one set of Jacobi coordinates to another complicates the structure of the cluster sum rules, especially when more than one of the three particles is charged.The purpose of this work is to generalize the dipole twobody...

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“…The parameters of the three-body Gaussian potentials, S exp ÿ 2 =b 2 , are b 6 fm and ÿS 20; 92 MeV for 0 and 1 , respectively [21].…”

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confidence: 99%

“…The interactions in Fig. 1 give an energy of 3.95 MeV above threshold [21]. We use 2.8 MeV to account for interference and -feeding distortion.…”

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confidence: 99%

Energy Distributions from Three-Body Decaying Many-Body Resonances

et al. 2007

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We compute energy distributions of three particles emerging from decaying many-body resonances. We reproduce the measured energy distributions from decays of two archetypal states chosen as the lowest 0 and 1 resonances in 12 C populated in decays. These states are dominated by sequential, through the 8 Be ground state, and direct decays, respectively. These decay mechanisms are reflected in the ''dynamic'' evolution from small, cluster or shell-model states, to large distances, where the coordinate or momentum space continuum wave functions are accurately computed.

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Structure of low-lying 12C resonances

Cited by 62 publications

References 40 publications

R-matrix analysis of theβdecays ofN12
Hyldegaard¹,
Alcorta²,
Bastin³
et al. 2010
Phys. Rev. C
Self Cite
62
7
41
0
View full text Add to dashboard Cite

R-matrix analysis of theβdecays ofN12
Hyldegaard¹,
Alcorta²,
Bastin³
et al. 2010
Phys. Rev. C
Self Cite
62
7
41
0
View full text Add to dashboard Cite

Cluster sum rules for three-body systems with angular-momentum dependent interactions

Energy Distributions from Three-Body Decaying Many-Body Resonances

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Structure of low-lying 12C resonances

Cited by 62 publications

References 40 publications

R-matrix analysis of theβdecays ofN12Hyldegaard1, Alcorta2, Bastin3 et al. 2010Phys. Rev. CSelf Cite627410View full textAdd to dashboardCite

R-matrix analysis of theβdecays ofN12Hyldegaard1, Alcorta2, Bastin3 et al. 2010Phys. Rev. CSelf Cite627410View full textAdd to dashboardCite

Cluster sum rules for three-body systems with angular-momentum dependent interactions

Energy Distributions from Three-Body Decaying Many-Body Resonances

Contact Info

Product

Resources

About

R-matrix analysis of theβdecays ofN12
Hyldegaard¹,
Alcorta²,
Bastin³
et al. 2010
Phys. Rev. C
Self Cite
62
7
41
0
View full text Add to dashboard Cite

R-matrix analysis of theβdecays ofN12
Hyldegaard¹,
Alcorta²,
Bastin³
et al. 2010
Phys. Rev. C
Self Cite
62
7
41
0
View full text Add to dashboard Cite