Coulomb excitation of the proton-dripline nucleus<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Na</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>20</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>

Schumaker, A; Cline, D.; Hackman, G.; Pearson, C. J.; Svensson, C. E.; Wu, C. Y.; Andreyev, A. N.; Austin, R E E; Ball, G.; Bandyopadhyay, D.; Becker, J. A.; Boston, Andrew; Boston, H. C.; Buchmann, L.; Churchman, R.; Cifarelli, F.; Cooper, R. J.; Cross, D. S.; Dashdorj, D.; Demand, G. A.; Dimmock, Matthew; Drake, T.E.; Finlay, P.; Gallant, A. T.; Garrett, P. E.; Green, K L; Grint, A. N.; Grinyer, G. F.; Harkness, L. J.; Hayes, A. B.; Kanungo, R.; Lisetskiy, A. F.; Leach, K. G.; Lee, G; Maharaj, Ritesh; Martín, J. P.; Moisan, F.; Morton, A. C.; Mythili, S.; Nelson, L.; Newman, O.; Nolan, P. J.; Orce, J. N.; Padilla‐Rodal, E.; Phillips, A. A.; Porter-Peden, M.; Ressler, J. J.; Roy, R.; Ruiz, C.; Sarazin, F.; Scraggs, D.P.; Waddington, J. C.; Wan, J. M.; Whitbeck, A.; Williams, Spencer J.; Wong, J.

doi:10.1103/physrevc.80.044325

Cited by 15 publications

(14 citation statements)

References 40 publications

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“…renders the calculation relatively straightforward. Note that k|N k |k = sinh 2 (r k ), where N k is the number operator [21]. With this in mind, we find that (48) reduces to…”

Section: The Density Matrixmentioning

confidence: 77%

“…(48) is a relatively simple affair -due to the nature of the squeezed states, the expectation value operator v 2n , n ∈ Z must be diagonal in this (discrete) basis of states. This, along with the identities [21]:…”

Section: The Density Matrixmentioning

confidence: 81%

“…There exists an extensive literature on squeezed states. We refer the reader to [21] and [22] for the mathematical properties of squeezed states. For their physical interest, we direct the reader to [23].…”

Section: B Properties Of Squeezed Statesmentioning

confidence: 99%

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On the decoherence of primordial fluctuations during inflation

Martineau

2007

Class. Quantum Grav.

100

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We study the environment-induced decoherence of cosmological perturbations in an inflationary background. Splitting our spectrum of perturbations into two distinct sets characterized by their wavelengths (super and sub-Hubble), we identify the long wavelength modes with our system and the remainder with an environment. We examine the effects of the interactions between our system and the environment. This interaction causes the long-wavelength modes to decohere for realistic values of the coupling and we conclude that interactions due to backreaction are more than sufficient to decohere the system within 60 e-foldings of inflation. This is shown explicitly by obtaining an analytic solution to a master equation detailing the evolution of the density matrix of the system.

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“…renders the calculation relatively straightforward. Note that k|N k |k = sinh 2 (r k ), where N k is the number operator [21]. With this in mind, we find that (48) reduces to…”

Section: The Density Matrixmentioning

confidence: 77%

Section: The Density Matrixmentioning

confidence: 81%

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On the decoherence of primordial fluctuations during inflation

Martineau

2007

Class. Quantum Grav.

100

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“…These differences between the USD and USDA/B B(E2; 2 + i → 3 + ) strengths can be traced back by analyzing the shell-model configurations of the involved states. Shell-model calculations show that for the three different interactions the wave function of the 3 + state in 26 Na is dominated by a π (d 3 5/2 ) 5/2 + ⊗ ν(d 6 5/2 s 1 1/2 ) 1/2 + configuration. Configurations containing either an unpaired nucleon in the πs 1/2 orbital or in the νd 5/2 orbital are favored for the 2 + 1 state compared to the 2 + 2 state for the USDA and USDB interactions.…”

Section: Discussionmentioning

confidence: 99%

“…An exception to this observation are the odd-odd nuclei, 30 P and 34 Cl, therefore a more complete comparison for odd-odd nuclei was suggested. A low-energy Coulomb excitation study of 20 Na provided experimental B(E2) and B(M1) strengths [6] cited to be inconsistent with the USDB calculations. However, different effective charges and effective g factors were used than the values suggested for the USDB interaction [5].…”

Section: Introductionmentioning

confidence: 98%

Testing refined shell-model interactions in thesdshell: Coulomb excitation ofNa26

et al. 2015

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Background: Shell-model calculations crucially depend on the residual interaction used to approximate the nucleon-nucleon interaction. Recent improvements to the empirical universal sd interaction (USD) describing nuclei within the sd shell yielded two new interactions-USDA and USDB-causing changes in the theoretical description of these nuclei. Purpose: Transition matrix elements between excited states provide an excellent probe to examine the underlying shell structure. These observables provide a stringent test for the newly derived interactions. The nucleus 26 Na with 7 valence neutrons and 3 valence protons outside the doubly-magic 16 O core is used as a test case. Method: A radioactive beam experiment with 26 Na (T 1/2 = 1,07s) was performed at the REX-ISOLDE facility (CERN) using Coulomb excitation at safe energies below the Coulomb barrier. Scattered particles were detected with an annular Si detector in coincidence with γ rays observed by the segmented MINIBALL array. Coulomb excitation cross sections of the beam have been obtained by normalization to the well known Coulomb excitation cross sections of the 104 Pd target. Results: The observation of three γ-ray transitions in 26 Na together with available spectroscopic data allows us to determine E2and M1-transitional matrix elements. Results are compared to theoretical predictions. Conclusion: The improved theoretical description of 26 Na could be validated. Remaining discrepancies between experimental data and theoretical predictions indicate the need for future experiments and possibly further theoretical improvements.

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Excited Nuclear States for Na-20 (Sodium)

Sukhoruchkin

Soroko

2012

Nuclei With Z = 1 - 29

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Coulomb excitation of the proton-dripline nucleusNa20

Cited by 15 publications

References 40 publications

On the decoherence of primordial fluctuations during inflation

On the decoherence of primordial fluctuations during inflation

Testing refined shell-model interactions in thesdshell: Coulomb excitation ofNa26

Excited Nuclear States for Na-20 (Sodium)

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