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{{Short description|Problem in astronomy}}
In [[astronomy]], the '''lithium problem''' or '''lithium discrepancy''' refers to the discrepancy between the primordial [[Abundance of the chemical elements|abundance]] of [[lithium]] as inferred from observations of metal-poor ([[Stellar population|Population II]]) [[Stellar halo|halo stars]] in our galaxy and the amount that should theoretically exist due to [[Big Bang nucleosynthesis]]+[[Wilkinson Microwave Anisotropy Probe|WMAP]] cosmic baryon density predictions of the [[
[[File:Schramm plot BBN review 2019.png|thumb|400px|This "Schramm plot"<ref>{{cite journal |
==Origin of lithium==
Minutes after the Big Bang, the universe was made almost entirely of hydrogen and helium, with trace amounts of lithium and beryllium, and negligibly small abundances of all heavier elements.<ref name="habitable"/><ref>{{cite web|url=https://physics.unc.edu/the-cosmological-lithium-problem/|title=Cosmological lithium problem|website=University of North Carolina|date=14 September 2020 }}</ref>
===Lithium synthesis in the Big Bang===
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The amount of lithium generated in the Big Bang can be calculated.<ref>{{cite journal | bibcode= 1985ARA&A..23..319B | title= Big bang nucleosynthesis – Theories and observations | last1= Boesgaard | first1=A. M. | last2= Steigman | first2= G. | volume= 23 |date= 1985 | pages= 319–378 | journal= [[Annual Review of Astronomy and Astrophysics]] |id=A86-14507 04–90 |___location=Palo Alto, CA | doi= 10.1146/annurev.aa.23.090185.001535}}</ref> [[Hydrogen-1]] is the most abundant [[nuclide]], comprising roughly 92% of the atoms in the Universe, with [[helium-4]] second at 8%. Other isotopes including <sup>2</sup>H, <sup>3</sup>H, <sup>3</sup>He, <sup>6</sup>Li, <sup>7</sup>Li, and <sup>7</sup>Be are much rarer; the estimated abundance of primordial lithium is 10<sup>−10</sup> relative to hydrogen.<ref name=23bbn>{{cite book |last1=Tanabashi |first1=M. |display-authors=et al. |editor-last1=Fields |editor-first1=B. D. |editor-last2=Molaro |editor-first2=P. |editor-last3=Sarkar |editor-first3=S. |title=The Review |date=2018 |chapter=Big-bang nucleosynthesis |journal=Physical Review D |volume=98 |issue=3 |pages=377–382 |doi=10.1103/PhysRevD.98.030001 |bibcode=2018PhRvD..98c0001T |url=https://pdg.lbl.gov/2019/reviews/rpp2018-rev-bbang-nucleosynthesis.pdf
}}</ref> The calculated abundance and ratio of <sup>1</sup>H and <sup>4</sup>He is in agreement with data from observations of young stars.<ref name="habitable">{{cite book |isbn=978-0691140063|title=How to Build a Habitable Planet: The Story of Earth from the Big Bang to Humankind|last1=Langmuir|first1=C. H.|last2=Broecker|first2=W. S.|year=2012|publisher=Princeton University Press }}</ref>
===The P-P II branch===
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-->:{| border="0"
|- style="height:2em;"
|{{nuclide|link=yes|helium|3}} ||+ ||{{nuclide|link=yes|helium|4}} ||→ ||{{nuclide|link=yes|beryllium|7}} ||+ ||{{math|{{SubatomicParticle|link=yes|Gamma}}}}
|- style="height:2em;"
|{{nuclide|link=yes|beryllium|7}} ||+ ||{{SubatomicParticle|link=yes|Electron}} ||→ ||{{nuclide|link=yes|lithium|7|charge=-}} ||+ ||{{math|{{SubatomicParticle|link=yes|Electron Neutrino}}}} ||+ ||{{val|0.861|u=MeV}} ||/ ||{{val|0.383|u=MeV}}
|- style="height:2em;"
|{{nuclide|link=yes|lithium|7}} ||+ ||{{nuclide|link=yes|hydrogen|1}} ||→ ||2 {{nuclide|link=yes|helium|4}}
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==Observed abundance of lithium==
Despite the low theoretical abundance of lithium, the actual observable amount is less than the calculated amount by a factor of 3–4.<ref name=fields11>{{cite journal |last=Fields |first=B. D. |date=2011 |title=The primordial lithium problem |journal=[[Annual Review of Nuclear and Particle Science]] |volume=61 |issue=1 |pages=47–68 |doi=10.1146/annurev-nucl-102010-130445| doi-access=free |arxiv=1203.3551 |bibcode=2011ARNPS..61...47F}}</ref> This contrasts with the observed abundance of isotopes of [[hydrogen]] (<sup>1</sup>H and [[deuterium|<sup>2</sup>H]]) and [[helium]] ([[helium-3|<sup>3</sup>He]] and [[helium-4|<sup>4</sup>He]]) that are consistent with predictions.<ref name=HouStats/>
[[Image:SolarSystemAbundances.svg|thumb|center|800px|Abundances of the chemical elements in the Solar System. Hydrogen and helium are most common, residuals within the paradigm of the Big Bang.<ref>{{cite book |last1=Stiavelli |first1=M. |year=2009 |title=From First Light to Reionization the End of the Dark Ages |url=https://books.google.com/books?id=iCLNBElRTS4C&pg=PA8 |page=8 |publisher=[[Wiley-VCH]] |___location=Weinheim, Germany |isbn=9783527627370|bibcode=2009fflr.book.....S }}</ref> Li, Be and B are rare because they are poorly synthesized in the Big Bang and also in stars; the main source of these elements is [[cosmic ray spallation]].]]
Older stars seem to have less lithium than they should, and some younger stars have much more.<ref name="MWoo">{{cite web|title=The Cosmic Explosions That Made the Universe|url=http://www.bbc.com/earth/story/20170220-the-cosmic-explosions-that-made-the-universe|last=Woo|first=M.|date=21 Feb 2017|website=earth|publisher=BBC|url-status=live|archiveurl=https://web.archive.org/web/20170221214442/http://www.bbc.com/earth/story/20170220-the-cosmic-explosions-that-made-the-universe|archivedate=21 February 2017|access-date=21 Feb 2017|quote=A mysterious cosmic factory is producing lithium. Scientists are now getting closer at finding out where it comes from|df=dmy-all}}</ref>
[[File:Nova Centauri 2013 ESO.jpg|thumb|[[Nova Centauri 2013]] is the first in which evidence of lithium has been found.<ref>{{cite web|title=First Detection of Lithium from an Exploding Star|url=http://www.eso.org/public/news/eso1531/|accessdate=29 July 2015|url-status=dead|archiveurl=https://web.archive.org/web/20150801001700/http://www.eso.org/public/news/eso1531/|archivedate=1 August 2015|df=dmy-all}}</ref>]]
Lithium is also found in [[brown dwarf]] substellar objects and certain anomalous
===Less lithium in Sun-like stars with planets===
Sun-like stars without planets have 10 times the lithium as Sun-like stars with planets in a sample of 500 stars.<ref name="Discover">{{cite
{{Cite journal
|last1=Israelian |first1=G.
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|bibcode=2009Natur.462..189I
|arxiv = 0911.4198
|s2cid=388656
|quote=<span style="font-family:LatinModern;"><small>... confirm the peculiar behaviour of Li in the effective temperature range 5600–5900 K ... We found that the immense majority of planet host stars have severely depleted lithium ... At higher and lower temperatures planet-host stars do not appear to show any peculiar behaviour in their Li abundance.</small></span>}}</ref> The Sun's surface layers have less than 1% the lithium of the original formation [[Formation and evolution of the Solar System#Formation|protosolar gas clouds]] despite the surface convective zone not being quite hot enough to burn lithium.<ref name = "Israelian"/> It is suspected that the gravitational pull of planets might enhance the churning up of the star's surface, driving the lithium to hotter cores where [[lithium burning]] occurs.<ref name="Discover"/><ref name = "Israelian"/> The absence of lithium could also be a way to find new planetary systems.<ref name="Discover"/> However, this claimed relationship has become a point of contention in the planetary astrophysics community, being frequently denied<ref name="BaumannRamírez2010">{{cite journal|last1=Baumann|first1=P.|last2=Ramírez|first2=I.|last3=Meléndez|first3=J.|last4=Asplund|first4=M.|last5=Lind|first5=K.|display-authors=2|title=Lithium depletion in solar-like stars: no planet connection|journal=Astronomy and Astrophysics|volume=519|year=2010|pages=A87|issn=0004-6361|doi=10.1051/0004-6361/201015137|arxiv=1008.0575 |bibcode=2010A&A...519A..87B |doi-access=free}}</ref><ref name="RamírezFish2012">{{cite journal|last1=Ramírez|first1=I.|last2=Fish|first2=J. R.|last3=Lambert|first3=D. L.|last4=Allende Prieto|first4=C.|display-authors=2|title=Lithium abundances in nearby FGK dwarf and subgiant stars: internal destruction, galactic chemical evolution, and exoplanets|journal=The Astrophysical Journal|volume=756|issue=1|year=2012|pages=46|issn=0004-637X|doi=10.1088/0004-637X/756/1/46|arxiv=1207.0499 |bibcode=2012ApJ...756...46R |hdl=2152/34872|s2cid=119199829 |hdl-access=free}}</ref> but also supported.<ref name="FigueiraFaria2014">{{cite journal|last1=Figueira|first1=P.|last2=Faria|first2=J. P.|last3=Delgado-Mena|first3=E.|last4=Adibekyan|first4=V. Zh.|last5=Sousa|first5=S. G.|last6=Santos|first6=N. C.|last7=Israelian|first7=G.|display-authors=2|title=Exoplanet hosts reveal lithium depletion|journal=Astronomy & Astrophysics|volume=570|year=2014|pages=A21|issn=0004-6361|doi=10.1051/0004-6361/201424218|doi-access=free|arxiv=1409.0890}}</ref><ref name="Delgado MenaIsraelian2014">{{cite journal|last1=Delgado Mena|first1=E.|last2=Israelian|first2=G.|last3=González Hernández|first3=J. I.|last4=Sousa|first4=S. G.|last5=Mortier|first5=A.|last6=Santos|first6=N. C.|last7=Adibekyan|first7=V. Zh.|last8=Fernandes|first8=J.|last9=Rebolo|first9=R.|last10=Udry|first10=S.|last11=Mayor|first11=M.|display-authors=2|title=Li depletion in solar analogues with exoplanets|journal=Astronomy & Astrophysics|volume=562|year=2014|pages=A92|issn=0004-6361|doi=10.1051/0004-6361/201321493|doi-access=free|arxiv=1311.6414}}</ref>
===Higher than expected lithium in metal-poor stars===
Certain
==Proposed solutions==
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=== Astrophysical solutions ===
Considering the possibility that BBN predictions are sound, the measured value of the primordial lithium abundance should be in error and astrophysical solutions offer revision to it. For example, systematic errors, including ionization correction and inaccurate stellar temperatures determination could affect Li/H ratios in stars. Furthermore, more observations on lithium depletion remain important since present lithium levels might not reflect the initial abundance in the star. In summary, accurate measurements of the primordial lithium abundance is the current focus of progress, and it could be possible that the final answer does not lie in astrophysical solutions.<ref name="fields11" />
Some astronomers suggest that the velocities of nucleons do not follow a [[Maxwell-Boltzmann distribution]]. They test the framework of Tsallis non-extensive statistics. Their result suggest that {{nowrap|1.069 < q < 1.082}} is a possible new solution to the cosmological lithium problem.<ref>{{Cite journal |last1=Hou |first1=S. Q. |last2=He |first2=J. J. |last3=Parikh |first3=A. |last4=Kahl |first4=D. |last5=Bertulani |first5=C. A. |last6=Kajino |first6=T. |last7=Mathews |first7=G. J. |last8=Zhao |first8=G. |title=Non-Extensive Statistics to the Cosmological Lithium Problem |date=2017-01-11 |journal=The Astrophysical Journal |volume=834 |issue=2 |pages=165 |doi=10.3847/1538-4357/834/2/165 |arxiv=1701.04149 |bibcode=2017ApJ...834..165H |s2cid=568182 |issn=1538-4357 |doi-access=free }}</ref>
=== Nuclear physics solutions ===
When one considers the possibility that the measured primordial
Firstly, incorrect or missing reactions could give rise to the lithium problem. For incorrect reactions, major thoughts lie within revision to [[cross section (physics)|cross section]] errors and standard thermonuclear rates according to recent studies.<ref>{{Cite journal|
Second, starting from [[Fred Hoyle]]'s discovery of a [[Resonance (particle physics)|resonance]] in [[carbon-12]], an important factor in the [[triple-alpha process]], resonance reactions, some of which might have evaded experimental detection or whose effects have been underestimated, become possible solutions to the lithium problem.<ref>{{Cite journal|
{| border="0"
|- style="height:2em;"
|{{nuclide|link=yes|beryllium|7}} ||+ ||{{nuclide|link=yes|hydrogen|2}} ||→ ||{{nuclide|link=yes|boron|9}} *
|- style="height:2em;"
|{{nuclide|link=yes|beryllium|7}} ||+ ||{{nuclide|link=yes|hydrogen|3}} ||→ ||{{nuclide|link=yes|boron|10}} *
|-
|{{nuclide|link=yes|beryllium|7}}
| +
|{{nuclide|link=yes|helium|3}}
|→
|{{nuclide|link=yes|carbon|10}} *
|}Experimental and theoretical analyses rule out the first and third reactions.<ref name="o946">{{cite journal |last=Cyburt |first=Richard H. |last2=Fields |first2=Brian D. |last3=Olive |first3=Keith A. |last4=Yeh |first4=Tsung-Han |date=2016-02-23 |title=Big bang nucleosynthesis: Present status |url=https://link.aps.org/accepted/10.1103/RevModPhys.88.015004 |journal=Reviews of Modern Physics |volume=88 |issue=1 |page= |doi=10.1103/RevModPhys.88.015004 |issn=0034-6861 |access-date=2025-03-30 |doi-access=free|arxiv=1505.01076 }}</ref>
''[[BBC Science Focus]]'' wrote in 2023 that "recent research seems to completely discount" such theories; the magazine held that mainstream lithium nucleosynthesis calculations are probably correct.<ref name=BBC2023>{{cite news |url=https://www.sciencefocus.com/science/lithium-shortage-universe/ |title=The lithium problem: Why the element keeps disappearing |work=BBC Science Focus Magazine |date=16 June 2023 |author=Alastair Gunn |access-date=17 June 2023}}</ref>
=== Solutions beyond the Standard Model ===
Under the assumptions of all correct calculation, solutions [[beyond the standard model|beyond]] the existing [[Standard Model]] or standard cosmology might be needed.<ref name="fields11" />
Dark matter decay and [[supersymmetry]] provide one possibility, in which decaying dark matter scenarios introduce a rich array of novel processes that can alter light elements during and after BBN, and find the well-motivated origin in supersymmetric cosmologies. With the fully operational [[Large Hadron Collider]] (LHC), much of minimal supersymmetry lies within reach, which would revolutionize particle physics and cosmology if discovered;<ref name="fields11" /> however, results from the ATLAS experiment in 2020 have excluded many supersymmetric models.<ref>{{Cite journal|last=Collaboration|first=Atlas|
Changing [[fundamental constants]] can be one possible solution, and it implies that first, atomic transitions in metals residing in high-[[redshift]] regions might behave differently from our own. Additionally, Standard Model couplings and particle masses might vary; third, variation in nuclear physics parameters is needed.<ref name="fields11" />▼
Nonstandard cosmologies indicate variation of the baryon to photon ratio in different regions. One proposal is a result of large-scale inhomogeneities in cosmic density, different from homogeneity defined in the [[cosmological principle]]. However, this possibility requires a large amount of observations to test it.<ref>{{Cite journal|last=Holder|first=Gilbert P.|last2=Nollett|first2=Kenneth M.|last3=van Engelen|first3=Alexander|date=June 2010|title=On Possible Variation in the Cosmological Baryon Fraction|url=https://ui.adsabs.harvard.edu/abs/2010ApJ...716..907H/abstract|journal=Astrophysical Journal|language=en|volume=716|issue=2|pages=907–913|doi=10.1088/0004-637X/716/2/907|issn=0004-637X|doi-access=free}}</ref>▼
▲Changing [[fundamental constants]] can be one possible solution, and it implies that first, atomic transitions in metals residing in high-[[redshift]] regions might behave differently from our own. Additionally, Standard Model couplings and particle masses might vary
▲Nonstandard cosmologies indicate variation of the baryon to photon ratio in different regions. One proposal is a result of large-scale inhomogeneities in cosmic density, different from homogeneity defined in the [[cosmological principle]]. However, this possibility requires a large amount of observations to test it.<ref>{{Cite journal|
== See also ==
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* [[List of unsolved problems in physics]]
* [[Lithium burning]]
==Further reading==
* {{cite journal |last1=Fields |first1=Brian D. |title=The Primordial Lithium Problem |journal=Annual Review of Nuclear and Particle Science |volume=61 |year=2011 |pages=47–68 |doi=10.1146/annurev-nucl-102010-130445 |arxiv=1203.3551|bibcode=2011ARNPS..61...47F }}
* {{cite journal |doi=10.1103/PhysRevD.83.063006 |title=Resonant destruction as a possible solution to the cosmological lithium problem |date=2011 |last1=Chakraborty |first1=Nachiketa |last2=Fields |first2=Brian D. |last3=Olive |first3=Keith A. |journal=Physical Review D |volume=83 |issue=6 |page=063006 |arxiv=1011.0722 |bibcode=2011PhRvD..83f3006C }}
* {{cite journal |doi=10.1142/S0218301312500048 |title=Resonant Enhancement of Nuclear Reactions as a Possible Solution to the Cosmological Lithium Problem |date=2012 |last1=Cyburt |first1=Richard H. |last2=Pospelov |first2=Maxim |journal=International Journal of Modern Physics E |volume=21 |issue=1 |pages=1250004-1-1250004-13 |arxiv=0906.4373 |bibcode=2012IJMPE..2150004C }}
* {{cite journal |last1=Hou |first1=S. Q. |last2=Yan |first2=H. L. |last3=Li |first3=X. Y. |last4=Zhou |first4=X. H. |last5=Sun |first5=B. |title=Non-Extensive Statistics to the Cosmological Lithium Problem |journal=The Astrophysical Journal |volume=834 |issue=2 |year=2017 |pages=165 |doi=10.3847/1538-4357/834/2/165 |doi-access=free |arxiv=1701.03700|bibcode=2017ApJ...834..165H }}
==References==
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