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Currently, all stellar models study<strong>in</strong>g nucleosynthesis<br />

are 1-D. Multi-dimensional effects such as convection<br />

or the impact <strong>of</strong> rotation are implemented phenomenologically.<br />

Nevertheless, coupl<strong>in</strong>g full reaction networks<br />

to these calculations is already computationally<br />

expensive and <strong>of</strong>ten reduced networks comb<strong>in</strong>ed with<br />

postprocess<strong>in</strong>g are used. Future improved models and<br />

advanced comput<strong>in</strong>g will lead to more detailed astrophysical<br />

predictions requir<strong>in</strong>g more accurate nuclear<br />

<strong>in</strong>put. Concern<strong>in</strong>g ccSN, it has been shown that a multi-<br />

D treatment is essential for obta<strong>in</strong><strong>in</strong>g an explosion and<br />

to describe the <strong>in</strong>ner, turbulent layers <strong>of</strong> the explod<strong>in</strong>g<br />

star. Due to the computationally expensive, but necessary,<br />

treatment <strong>of</strong> neutr<strong>in</strong>o transport, large networks<br />

still cannot be coupled to the hydrodynamics even for<br />

the 1-D cases.<br />

For Nova and X-ray Bursts the most accurate knowledge<br />

<strong>of</strong> the nucleosynthesis accompany<strong>in</strong>g such<br />

cataclysmic events relies on hydrodynamic models <strong>in</strong><br />

spherical symmetry (1-D). This <strong>in</strong>cludes the state-<strong>of</strong>-theart<br />

codes KEPLER (Santa Cruz), NOVA (Arizona), SHIVA<br />

(Barcelona), AGILE (Basel), and the stellar evolution<br />

code from Tel Aviv (Israel). The first successful multidimensional<br />

calculations <strong>of</strong> nova outbursts have recently<br />

been performed. These <strong>in</strong>clude 2-D simulations with the<br />

codes VULCAN (Tel Aviv), PROMETHEUS (Garch<strong>in</strong>g),<br />

and FLASH (Chicago, Barcelona), although because <strong>of</strong><br />

computational limitations, only simplified networks to<br />

handle approximately the energetics <strong>of</strong> the explosion are<br />

used. Moreover, the multidimensional nova simulations<br />

performed have been limited to about 1000 s around<br />

the peak <strong>of</strong> the explosion (while the overall phenomenon<br />

lasts for 100,000 yr, from the onset <strong>of</strong> accretion). Hence,<br />

the adopted strategy requires mapp<strong>in</strong>g <strong>of</strong> 1-D models<br />

<strong>in</strong>to 2-D. In contrast, no realistic multidimensional calculation<br />

<strong>of</strong> type I XRBs has been performed to date.<br />

Successful multidimensional nova simulations,<br />

<strong>in</strong>tended to check whether Kelv<strong>in</strong>-Helmholtz <strong>in</strong>stabilities<br />

can naturally lead to self-enrichment <strong>of</strong> the solar-like<br />

accreted envelopes with material from the outermost<br />

layers <strong>of</strong> the underly<strong>in</strong>g white dwarf core, at levels <strong>in</strong><br />

agreement with observations, would require 3-D calculations,<br />

s<strong>in</strong>ce the way <strong>in</strong> which turbulence develops<br />

is completely different <strong>in</strong> 3-D than <strong>in</strong> 2-D. Arbitrarily<br />

Lagrangian-Eulerian (ALE) schemes, like that implanted<br />

<strong>in</strong> the VULCAN code, seem the best way to tackle the<br />

nature <strong>of</strong> such explosions. Moreover, implicit, parallelized<br />

hydro codes seem to be better suited to describe<br />

the complete nuclear history <strong>of</strong> XRBs and nova explosions,<br />

all the way from the onset <strong>of</strong> the early hydrostatic<br />

stages through a full cycle. It is likely that the cont<strong>in</strong>uous<br />

improvement <strong>in</strong> computational capabilities will allow the<br />

use <strong>of</strong> more extended nucleosynthesis networks directly<br />

coupled to the multidimensional hydro codes.<br />

4.4.4 Conclusions<br />

Future science developments<br />

The pace and direction <strong>of</strong> development <strong>of</strong> the field will<br />

depend on many th<strong>in</strong>gs, mak<strong>in</strong>g prediction difficult. In<br />

part this arises because <strong>of</strong> the highly <strong>in</strong>terdiscipl<strong>in</strong>ary<br />

nature <strong>of</strong> the research, s<strong>in</strong>ce advances <strong>in</strong> astronomical<br />

observations, new satellite capabilities, advances <strong>in</strong><br />

astrophysical modell<strong>in</strong>g etc. can produce new <strong>in</strong>sights<br />

and new needs for nuclear physics <strong>in</strong>formation. In part<br />

it is the technological challenges <strong>of</strong> develop<strong>in</strong>g new<br />

radioactive beams or neutron and photon capabilities,<br />

new experimental techniques and new theoretical understand<strong>in</strong>g.<br />

That said, certa<strong>in</strong> topics seem certa<strong>in</strong> to be<br />

at the forefront <strong>of</strong> the evolution <strong>of</strong> the field over the next<br />

decade and these are summarised below.<br />

In terms <strong>of</strong> the nucleosynthesis classes, the situation<br />

is as follows.<br />

Big Bang nucleosynthesis: The nuclear physics aspects<br />

<strong>in</strong> this area are mostly understood with the rema<strong>in</strong><strong>in</strong>g<br />

uncerta<strong>in</strong>ty related to the lithium problem, which will<br />

hopefully be clarified with<strong>in</strong> the next few years.<br />

Stellar nucleosynthesis: Although much work has been<br />

done <strong>in</strong> the study <strong>of</strong> the nuclear reactions <strong>in</strong> the early<br />

stages <strong>of</strong> a star’s life, our understand<strong>in</strong>g is still plagued<br />

by numerous critical gaps <strong>in</strong> our knowledge. Detailed<br />

measurements are still needed on some key reactions<br />

(e.g. 12 C(α,γ) 16 O) and will need cont<strong>in</strong>u<strong>in</strong>g work with direct<br />

and <strong>in</strong>direct methods at stable beam facilities over the<br />

next five years. By contrast our understand<strong>in</strong>g <strong>of</strong> the<br />

advanced stages <strong>of</strong> burn<strong>in</strong>g is at a rudimentary stage and<br />

will require much work on stable and radioactive beam<br />

facilities over the next decade. Work also still rema<strong>in</strong>s to<br />

be done on the s-process, both <strong>in</strong> terms <strong>of</strong> the neutron<br />

capture rates themselves and the key reactions which<br />

are believed to provide the source <strong>of</strong> neutrons. Our ability<br />

to determ<strong>in</strong>e reaction rates is still at times bedevilled by<br />

a lack <strong>of</strong> accuracy <strong>in</strong> our reaction model calculations,<br />

and theoretical work on this is required.<br />

Explosive nucleosynthesis: Our ability to describe<br />

these processes <strong>in</strong> a quantitative way is limited and much<br />

work is still needed which will require new radioactive<br />

beam facilities and new experimental techniques to be<br />

developed. This is unlikely to be completed <strong>in</strong> the next<br />

decade, but major advances can be expected. Our current<br />

understand<strong>in</strong>g <strong>of</strong> the reaction networks <strong>in</strong> X-ray<br />

Bursters is based on modell<strong>in</strong>g which, to a large extend,<br />

relies on reaction rate estimates from theoretical models.<br />

There will be <strong>in</strong>creas<strong>in</strong>g ref<strong>in</strong>ement <strong>of</strong> these models,<br />

cross checked by direct (or <strong>in</strong>direct) measurements <strong>of</strong><br />

key reactions. This will be l<strong>in</strong>ked to <strong>in</strong>creas<strong>in</strong>gly test<strong>in</strong>g<br />

observational data com<strong>in</strong>g from a wide range <strong>of</strong> new<br />

<strong>Perspectives</strong> <strong>of</strong> <strong>Nuclear</strong> <strong>Physics</strong> <strong>in</strong> <strong>Europe</strong> – NuPECC Long Range Plan 2010 | 147

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