Strangeness in nuclei and neutron stars: many-body forces and the hyperon puzzle

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1 Strangeness in nuclei and neutron stars: many-body forces and the hyperon puzzle Diego Lonardoni FRIB Theory Fellow In collaboration with: S. Gandolfi, LAL J. A. Carlson, LAL A. Lovato, AL & IF F. Pederiva, UniT HYP June 29, 2018

2 Outline!2 1. eutron Star Matter & Strangeness 2. uclear-hypernuclear Hamiltonians. Quantum Monte Carlo 4. Results: Hypernuclei 5. Results: eutron Star Matter 6. Summary

3 eutron Star Matter! Question: neutron star matter, why do we care? (hyper)nuclei neutron stars experiments same underlying physics nuclear force observations R fm m M kg theory nuclear potentials R 10 km 10 4 m M 1.4 M 10 0 kg energies radii, densities neutron skin equation of state (EOS) neutron star matter TOV equations: M(R), M max mass radii GW: tidal polarizability

4 eutron Star Matter!4 Question: neutron star matter, why do we care? neutron stars observations experiments (hyper)nuclei same underlying physics nuclear force R fm 10 M m theory kg energies radii, densities neutron skin R 10 km 104 m M 1.4 M 100 kg nuclear potentials S: excellent laboratory experiments observations theory mass radii GW: tidal polarizability

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sha1_base64="zm7zvjg8stpak/4emwzug/z25m=">aaaf4hicpvjbb9mwgm1ya6palvdis8wmcwmlstjt6aromstlhhamws5svwo47vufclizxdzfuc8co/44m/gtly+kybmjk5c/5zjk6n4+jhbkppo/h1ippivvw0czj6ponz2bn5hee70mrpqjvikffehbbisnhefcrrffbkmliioro9hbvl9/gljbp+szhpczbdpyrfbulfvyxps+5tfgkivig0ee08pa6id1bhrd9j+1vew2utryxutdorreag+u28lxvv9k07bmr4ygcheywhwz25xkwupbqnyzvipda8t26h7ukexswcgjqmdr+ih1qyvltdtpqkc4ucdpdeyxs4k6mxnxcrlze6dfzk2dzg2w+j16f54ya2dfjt+lxyw1dwyygqjrobeivvzyi7nknxzepauje/uirv8shu6q5kpxbzobn9g9/4n4svfttd0wlxx1q/ww7yiwyamgz4rprsmnyae0mo4oxs/61r0myxy+yu7+ye85x7wbhf8wiu6ydslubxalldhmfajqyo7vjaqryaoiothuqsaxvqcj2medtb21uprwjfoyo4mexbwyllt67lu1jbjec6iut0zvi8vwwj+wzfgwy4riijgckayzjcqsitmjvxiysvwlxfn5p5fciatswiedc0mquq4pguccygjzu4wcc2/txoiqkgqvbqyauozyjlzaxjdetbp5xhsue5yqbgt954delvadh2v0cxvxq1wemeo8df45rxfcz0tz9vzcxydp2z4lzmku5h5xv7rflqappgroc6e0o+/ab1o7/4=</latexit> uclear Hamiltonians!6 Model: non-relativistic nucleons interacting with an effective two-body () and threebody () nucleon force p, n H = ~ 2 X 2m i r 2 i + X i<j v ij + X i<j<k v ijk ~ 2 v µ + X <µ< v µ X r 2 + X 2m <µ X v i + X,i<j v ij + X <µ,i v µi +... i, 0, + + ~ 2 X 2m r v ij fit to scattering data & deuteron v ijk fit to properties of nuclei v i fit to scattering data v ij fit to properties of -hypernuclei v µ,v µi fit to properties of -hypernuclei... fit to...??? not many data, but new info! what do we have? what can we use? not many data, but new info!

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sha1_base64="zm7zvjg8stpak/4emwzug/z25m=">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</latexit> Hypernuclear Hamiltonians!8 Model: non-relativistic baryons interacting with an effective two-body (BB) and threebody (BBB) baryon force p, n H = ~ 2 X 2m i r 2 i + X i<j v ij + X i<j<k v ijk ~ 2 v µ + X <µ< v µ X r 2 + X 2m <µ X v i + X,i<j v ij + X <µ,i v µi +... i, 0, + + ~ 2 X 2m r v ij fit to scattering data & deuteron v ijk fit to properties of nuclei v i fit to scattering data v ij fit to properties of -hypernuclei v µ,v µi fit to properties of -hypernuclei... fit to...??? many data not many data. HYP2018: new info! what do we have? not many data. HYP2018: new info!

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sha1_base64="9p9/pl7avnsiyrnezfyuy7lecno=">aaaclxicfvfaxsxejwszu4teu0hxxyweocejbmtxsahgkbltjdisnussbrjkqd26r1fwk2irh6f/01vbz/ov8ma8exdsapixnmvdemmxk4thl/resjxubt59tbbefv9h5+aqz+/rmm8pxghajjbtg1imuggyoumkfduavkdozp8x9frcf4y/rpnfoaktrqyc06xto06/qlhfsyyiomjcx2lrs16nu1/rejzqk7sksooo0862rlpq5kvsjescdrabz0upegvao1cuu8v88zimfchgkui7alyycmf0qlcvjg+haahbywg+vrg6yk/dash90obqq8nyvwq6oiof1enkoeq8/yglk2dcyygvlme6qskjy5wetx/qo8pszcvpcgzs2oxww07kxmd2u9bww41svjehuiargirfoa5kkjxbilbdj+yga6odmkmawb9qkpwxi1m9qry9q9/sm7e9/osn//d0+xc1ji+ytt+qdyclhcky+kvmyijz8jn/ix/iv2uuoki/j1tp0lp5pagkpm7kklrsg==</latexit> <latexit sha1_base64="9p9/pl7avnsiyrnezfyuy7lecno=">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</latexit> Hypernuclear Hamiltonians!9 Idea: revisit the problem of the hyperon-nucleon interaction using Quantum Monte Carlo -hypernuclei H = ~ 2 X 2m i r 2 i + X i<j v ij + X i<j<k v ijk phenomenological interactions + ~ 2 2m X r 2 + X i v i + X,i<j v ij A Z < 10 A Z fit to p scattering data T. Schimmert et al., ucl. Phys. A 4 (1980) S Z (not updated)

9 Hypernuclear Hamiltonians!10 Idea: revisit the problem of the hyperon-nucleon interaction using Quantum Monte Carlo Proceedings of X ~2 X 2 X H = on ri + vij + vijk The IX International Conference 2m i i<j -hypernuclei Hypernuclear and Strange phenomenological Particle Physics + interactions HYP 2006 i<j<k ~2 X r 2m A Z 2 + X i v i + X v ij,i<j i. low number of parameters A < 10 Z ii. fit to available exp data <latexit sha1_base64="rlxuzqzvkderbb6cqrkxvbgchca=">aaacsicfvfb9ae2yr2k+ujhyiuhvcygiuyqicjckuhcorjfiw+g1ot1tfmyx/wo20yr/yl+drzhl+aehckgo1qnt68xrckekxyt50ytulx1+87gfje/qcph/uhx95w5ucjsiqw55w5kfjaxouqodelca0vdm5++x9emlkl205jmuhosanrl5kgxdhpr2d7ypc660v4pdhl6m0lu0drjeuypmi4fy8oxmtj4+80g/bfgl920p0zgysog10hagifp4c62fticysqdqafyt5naeiwd6xekrtuma08ocbm7ayyck/8icqxcmwkt5meydz8qjz1iyr7heajjmugs2xgmr7x5q2+vuxxwk2di++pcufsrsxa/2kr5xhabdxxb7dtzd0s4wxwtdxta1ccqs1m0wgfbeb7ocpwqvagmritqdw6ukdltvt+q6xjoy/zoa7fns1jwgxv/4dxc0m06tcfppd7i/1x5jgzwlz8hzkpkxzj98iidkqgt5rr6tn+rx9clkih4vf6rrr/u8iz2i9g/ijtux</latexit> B = E A 1 Z core nucleus S Z (not updated) E A Z hypernucleus ote: try to use both light & medium-mass systems A 5, 16, <latexit sha1_base64="5rvzqeewdmntblxqka61euahag=">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</latexit>

10 <latexit sha1_base64="zaslva0gx0vsxpa9xpamcj7bgo=">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</latexit> <latexit 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sha1_base64="ejgxk/22fq1zfg0gg7qzcakmjc=">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</latexit> <latexit sha1_base64="ejgxk/22fq1zfg0gg7qzcakmjc=">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</latexit> Hypernuclear Hamiltonians: many-body forces!11 ote: the energy contribution of a many-body force is scheme (and scale) dependent phenomenological potentials nucleons & pion exchange AV18 + UIX nucleons/lambda & pion exchange Bodmer/Usmani 2b 1 2 exchange exchange 1 2 exchange exchange b <latexit 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sha1_base64="r4slsyo2b96is+umcagarxd+ft4=">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</latexit> this scheme: S =0: hv 2b i hv b i S = 1: hv 2b i & hv b i

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sha1_base64="adwfxjdjdxyffww9q7fmyxh1xq=">aaacbxicfvhbsgmxeexe70rpilsbeefstkvqx0qff98u8fqovtkkk5tbc7rzlytyx/cv/0xv8jfcfv7shu8jmxhzpxhkmgrfbz9/6vgtupzm7lxqxl5zxvtfw+6tswiodw6kirumwpbcqx0fsmhemvdfjdyw/uvqfib2aqj7aqquvrry26glpmuo2ls1dolg7aa2w/5o9q+kucmsmtmw7a64xrsg4okajl9tazubh2hi0rselpmuwsrbrqep0eywe9jyqkcjguytmgvfdiwgz0mjzqqrb0ovs2iotgbruypksvo6brzyruymx2kzfzvilhe5nwix+cpsvhi5i2ff9agifjtu6gsilbtfgmbxyoxtvhre+whpqwue4mugxxgypqtbrnfqpq5xv0jsdmoh/hvnt89curscy/pc/5p6wfvi14paofh4yxsy82sz75iae5jickytyq+qee0neyqf5lhx7w96ot/tb6hxgnk2sg7f/a1ywc0=</latexit> <latexit sha1_base64="adwfxjdjdxyffww9q7fmyxh1xq=">aaacbxicfvhbsgmxeexe70rpilsbeefstkvqx0qff98u8fqovtkkk5tbc7rzlytyx/cv/0xv8jfcfv7shu8jmxhzpxhkmgrfbz9/6vgtupzm7lxqxl5zxvtfw+6tswiodw6kirumwpbcqx0fsmhemvdfjdyw/uvqfib2aqj7aqquvrry26glpmuo2ls1dolg7aa2w/5o9q+kucmsmtmw7a64xrsg4okajl9tazubh2hi0rselpmuwsrbrqep0eywe9jyqkcjguytmgvfdiwgz0mjzqqrb0ovs2iotgbruypksvo6brzyruymx2kzfzvilhe5nwix+cpsvhi5i2ff9agifjtu6gsilbtfgmbxyoxtvhre+whpqwue4mugxxgypqtbrnfqpq5xv0jsdmoh/hvnt89curscy/pc/5p6wfvi14paofh4yxsy82sz75iae5jickytyq+qee0neyqf5lhx7w96ot/tb6hxgnk2sg7f/a1ywc0=</latexit> Quantum Monte Carlo!12 Method: why Quantum Monte Carlo? i. solve the many-body problem for strongly correlated systems in a nonperturbative fashion ii. accurate description of ground-state properties iii. statistical uncertainties S 12 VMC CVMC GFMC AFDMC (C)VMC GFMC AFDMC light systems A apple 12 CVMC light to medium- AFDMC mass nuclei A 50 E E <latexit sha1_base64="kgftw4ntmxstc+7vrggqjp7fe=">aaacbnicfvhbsgmxeexe70r+cjist74umqucoqdujccbypyl7iljonyxuaycyqjexx+kof5l/4cw5rx7ach4q5zjkztdiskski78vvknpmdm5+yxi4tlyyura+satunmocgpe9oxak0bagrluoxioyhluwo98q+9qgyf0tc4ikcpaeelj8epzqmhetibfqne8ltrzb/qj1d6s4ixkzmxrlrrhcuwbxiiqcox1rhwi+w6wimgktii2fiiak8rzvwmodtsdmjhsuimk9ofjrvyjtu9jqc6kiydqbyjyukyncysasqlduja2q7b2dg9jayw1gjrbgb14l+7efeyomztxewimmyk/tou7acm7tyjhu8mqulsxfgc/dsfwfikc6mdvkerkm79vof7afpumeqf/rygr7q1o2gmdyw/+s28q4fed66y7ws8jhmytfbiaqnimamrcjfgoqtrd7jb/ksfhtbo6+1vqfcaetzkdd/adf2vbpq==</latexit> 0 E! E 0 A AFDMC nuclear matter A = 1 = it ( )i =(H E 0) ( )i ( )i = e (H E 0) (0)i!1! 0 i

12 <latexit sha1_base64="0jjg1actc1owmvk/zg/lqblq=">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</latexit> <latexit sha1_base64="0jjg1actc1owmvk/zg/lqblq=">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</latexit> <latexit sha1_base64="0jjg1actc1owmvk/zg/lqblq=">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</latexit> <latexit sha1_base64="0jjg1actc1owmvk/zg/lqblq=">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</latexit> Results: Hypernuclei!1 AFDMC: -hypernuclei B Λ (MeV) T. Gogami et al., Phys. Rev. C 9, 0414 (2016) updated data: +0.54(5) MeV emulsion (K,π ) (π +,K + ) (e,e K + ) 0 g f d p s A 2/ D. L. and F. Pederiva, arxiv:

13 Results: Hypernuclei!14 AFDMC: -hypernuclei B Λ (MeV) emulsion (K,π ) (π +,K + ) (e,e K + ) AFDMC 0 g f d p s A 2/ D. L. and F. Pederiva, arxiv:

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sha1_base64="ezrya9zd7lji+pqtjhowlj0hmg8=">aaaccnicfvhlthsxfhwmtapa2hsagsrrdrioqghavinxdjiarqgjgypbcedd+tow7gcia7+i2ffb/gw9ges1meokjw/fqhp+jkx+wseewdp8gndb7z98bg6pn+8nvnd+/btto55tdirhp7y6gdktsmukce28wcvuzcdzv+xvic7bogh2fiwwsrr+0gatosrwl8crbw0il2/vtseumlhzhvtztug7vs7i1pbcguyuqxuzhh4qlfwsuurthkfe+pq9wl+o4nihsxxb8zxogaykxojx+9rit5vzc8w6zvuuj8uke9vl5vldi9o6gbkzrcpcv+ushtwpa7pn9zhitp9blwbk1w9pnk4utbwtvqzhkrulqe59pidz4eplohakj61bila6+row8j1fnaio1gt6tux5dryulrfe6x++2vyf9kkwf12etgf9kowmosdh5aejye8yiodkseaekxn5s/6r58zlsb8cbvvyqapsfcc1b1xlv7ega==</latexit> <latexit 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sha1_base64="bmzmmkvl8mrzblx95cqtc1o1a=">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</latexit> <latexit sha1_base64="bmzmmkvl8mrzblx95cqtc1o1a=">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</latexit> Results: Hypernuclei!14 AFDMC: -hypernuclei A Z(J,T) B Exp B Λ (MeV) old spin-independent CSB V {<latexit sha1_base64="ezrya9zd7lji+pqtjhowlj0hmg8=">aaaccnicfvhlthsxfhwmtapa2hsagsrrdrioqghavinxdjiarqgjgypbcedd+tow7gcia7+i2ffb/gw9ges1meokjw/fqhp+jkx+wseewdp8gndb7z98bg6pn+8nvnd+/btto55tdirhp7y6gdktsmukce28wcvuzcdzv+xvic7bogh2fiwwsrr+0gatosrwl8crbw0il2/vtseumlhzhvtztug7vs7i1pbcguyuqxuzhh4qlfwsuurthkfe+pq9wl+o4nihsxxb8zxogaykxojx+9rit5vzc8w6zvuuj8uke9vl5vldi9o6gbkzrcpcv+ushtwpa7pn9zhitp9blwbk1w9pnk4utbwtvqzhkrulqe59pidz4eplohakj61bila6+row8j1fnaio1gt6tux5dryulrfe6x++2vyf9kkwf12etgf9kowmosdh5aejye8yiodkseaekxn5s/6r58zlsb8cbvvyqapsfcc1b1xlv7ega==</latexit> 6 H , 0 4 emulsion 4 (K,π ) H 0+, (9) 2.16(8) 4 (π +,K + ) 0.2(9) 0.1(5) 2.04(4) He 0+, (9) 2.9() (e,e K + ) 5 AFDMC He 1 + 2, (6).12(2) 0 g f d p s A 2/ D. L. and F. Pederiva, arxiv:

15 Results: Hypernuclei!16 AFDMC: -hypernuclei B Λ (MeV) fit to s-orbit separation energy only emulsion (K,π ) (π +,K + ) (e,e K + ) AFDMC 0 g f d p s A 2/ D. L. and F. Pederiva, arxiv:

16 <latexit sha1_base64="uxychkl2sgopazwpirslssy2u=">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</latexit> <latexit sha1_base64="uxychkl2sgopazwpirslssy2u=">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</latexit> <latexit sha1_base64="uxychkl2sgopazwpirslssy2u=">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</latexit> <latexit sha1_base64="uxychkl2sgopazwpirslssy2u=">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</latexit> Results: Hypernuclei!17 AFDMC: -hypernuclei A Z(J,T) s-orbit p-orbit d-orbit AFDMC K 2 +, (), () 4 +, 1 2.9() Ca 2, 0 18.(4) 2, (4) 2, 0 4.(4) Ca 2, (8) 2, (8) 2, 2 4.6(8) 48 K 1 +, (4) 2, (4) +, (4) Ca 2, (5) 2, (9) 2, 4 6.5(7) Ca 2 +, (1.1), (5) 4 +, (5) Exp 51 V (?, 2) 21.5(6) (?, 2) 1.4(6) (?, 2) 5.1(6) 52 V, (7) 4, (7) D. L. and F. Pederiva, arxiv:

17 <latexit sha1_base64="uxychkl2sgopazwpirslssy2u=">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</latexit> <latexit sha1_base64="uxychkl2sgopazwpirslssy2u=">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</latexit> <latexit sha1_base64="uxychkl2sgopazwpirslssy2u=">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</latexit> <latexit sha1_base64="uxychkl2sgopazwpirslssy2u=">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</latexit> Results: Hypernuclei!17 AFDMC: -hypernuclei A Z(J,T) s-orbit p-orbit d-orbit AFDMC K 2 +, (), () 4 +, 1 2.9() Ca 2, 0 18.(4) 5 2, i 11.5(4) 2, 0 4.(4) \ t t t i 4Q Ca 2, (8) 2, (8) 2, 2 4.6(8) I I I I I I I I I 48 K 1 +, (4) 2, (4) +, (4) )CD C Ca 2, (5) 2, /I 12.9(9) 2, 4 6.5(7) jn Ca 2 +, (1.1), (5) 4 +, (5) ~o6 I o o o~o J' Exp 51 V (?, 2) 21.5(6) (?, 2) 1.4(6) (?, 2) 5.1(6) 52 V, 5 1 I (7) , (7) Q i g(p I t I I -10 -BE (Mev) I I I I I I 0 P. H. Pile et al., Phys. Rev. Lett 66, 2585 (1991) 10 D. L. and F. Pederiva, arxiv:

18 <latexit sha1_base64="uxychkl2sgopazwpirslssy2u=">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</latexit> <latexit sha1_base64="uxychkl2sgopazwpirslssy2u=">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</latexit> <latexit 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sha1_base64="c+vx7axg+b6k8pem/vqu088=">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</latexit> Results: Hypernuclei!18 AFDMC: -hypernuclei A Z(J,T) s-orbit p-orbit d-orbit K 2 +, (), () 4 +, 1 2.9() Ca 2, 0 18.(4) 2, (4) 2, 0 4.(4) Ca 2, (8) 2, (8) 2, 2 4.6(8) 48 K 1 +, (4) 2, (4) +, (4) Ca 2, (5) 2, (9) 2, 4 6.5(7) Ca 2 +, (1.1), (5) 4 +, (5) 51 V (?, 2) 21.5(6) (?, 2) 1.4(6) (?, 2) 5.1(6), (7) 52 V 6. Excitation function for thep. Bydžovský Ca(γ, K + ) et al., Λ KreactioncalculatedinDWIAatE ucl. 4, 5 Phys. A 881 (2012) (7) γ = 1.GeVandθK L = using the ay Lyon A model. For simplicity to draw pronounced doublet peaks, the artificial spin orbit splitting is introduced.17(2l + 1) in MeV. In actual case such multiplet may be seen as a degenerate one. The hypernuclear energy is ured from the 9 B K(g.s.) s ' 18.0 MeV B p + Λ threshold, so it is expressed ' 10.7 MeV D. L. and in terms F. Pederiva, of the Bd hyperon '. MeV arxiv: energy E Λ.

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<latexit sha1_base64="qcayxiuyq1i6jjrqobwajfsbhy=">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</latexit> <latexit sha1_base64="qcayxiuyq1i6jjrqobwajfsbhy=">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</latexit> <latexit sha1_base64="qcayxiuyq1i6jjrqobwajfsbhy=">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</latexit> <latexit sha1_base64="qcayxiuyq1i6jjrqobwajfsbhy=">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</latexit> Results: Hypernuclei!19 AFDMC: -hypernuclei A Z(J,T) s-orbit p-orbit d-orbit AFDMC K 2 +, (), () 4 +, 1 2.9() Ca 2, 0 18.(4) 2, (4) 2, 0 4.(4) Ca 2, (8) 2, (8) 2, 2 4.6(8) 48 K 1 +, (4) 2, (4) +, (4) Ca 2, (5) 2, (9) 2, 4 6.5(7) Ca 2 +, (1.1), (5) 4 +, (5) 51 Ca e, e 0 K + V (?, 2) 21.5(6) (?, 2) K 48 Ca e, e 0 K (6) (?, 2) 5.1(6) K E =0.025 =0.188, (7) V 4, (7) nucleon-isospin asymmetry: = Z A D. L. and F. Pederiva, arxiv:

20 <latexit sha1_base64="zdd8urq2yjyuq9f6zkwzxwbqgkk=">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</latexit> <latexit sha1_base64="zdd8urq2yjyuq9f6zkwzxwbqgkk=">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</latexit> <latexit sha1_base64="zdd8urq2yjyuq9f6zkwzxwbqgkk=">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</latexit> <latexit sha1_base64="zdd8urq2yjyuq9f6zkwzxwbqgkk=">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</latexit> <latexit sha1_base64="prlsocagiwbtmp591md6tm/ywei=">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</latexit> <latexit sha1_base64="prlsocagiwbtmp591md6tm/ywei=">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</latexit> <latexit sha1_base64="prlsocagiwbtmp591md6tm/ywei=">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</latexit> <latexit sha1_base64="prlsocagiwbtmp591md6tm/ywei=">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</latexit> Results: Hypernuclei!20 AFDMC: -hypernuclei n p 24 C T = 2.0 C T = 1.0 T =0, 1 21 C T = 0.0 C T = 0.5 n p n p B Λ (MeV) 18 E T =1 15 control parameter C T 12 is AFDMC sensitive to a nucleon-isospin dependence of the force? 17 Λ O 41 Λ Ca 49 D. L. and F. Pederiva, arxiv: Λ Ca

21 Results: Hypernuclei!21 AFDMC: -hypernuclei 0 25 original parametrization emulsion (K,π ) (π +,K + ) B Λ (MeV) (e,e K + ) AFDMC Λ (I) AFDMC Λ (II) 10 AFDMC fit A 2/ D. L. et al., Phys. Rev. C 89, (2014) D. L. and F. Pederiva, arxiv:

22 Results: eutron Star Matter!22 AFDMC: -hypermatter (1)M PM 2.09(1)M PSR J Λ + Λ (II) PSR J M (M 0 ) th > 0.56 fm Λ + Λ (I) 1.6(5)M 0.8 th =0.4(1) fm R (km) D. L. et al., Phys. Rev. Lett. 114, (2015)

23 Summary!2 Quantum Monte Carlo calculations are feasible for medium-mass hypernuclei, and the accuracy of numerical predictions exceeds that of currently available experimental data. Phenomenological potentials developed in a pion exchange model with nucleons and lambdas as explicit degrees of freedom can describe the ground-state physics of hypernuclei in a wide mass range and for different hyperon orbits. A sensitivity study indicates the possibility to investigate the nucleon-isospin dependence of the three-body hyperon-nucleon-nucleon force in the mediummass region of the hypernuclear chart using QMC methods. Future hypernuclear experiments on medium-mass targets will provide an opportunity to develop more accurate many-body hypernuclear interactions, crucial for the prediction of neutron star properties and for the solution of the hyperon puzzle. Thank you!!