Arturo R. Samana* in collaboration with Carlos Bertulani*, & FranjoKrmpotic(UNLP-Argentina) *Department of Physics Texas A&M University -Commerce 07/

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1 Comparison of RPA-lik modls in Nurino-Nuclus Nuclus Procsss Aruro R. Samana* in collaboraion wih Carlos Brulani* & FranjoKrmpoicUNLP-Argnina *Dparmn of Physics Txas A&M Univrsiy -Commrc 07/ 0/008 Aomic Chmical and Nuclar Dvlopmns in Coupld Clusr Mhods INT 08-A - Sal July 007

2 Oulin Inroducion - Moivaion - Nurino- Nuclus Inracion Nuclar Modls - QRPA - PQRPA Applicaions. - Sarching for nurino oscillaions. - Dcion of suprnova nurinos.

3 Moivaion Sabl nucli Ground sa Excid sas Exoic nucli Thory Exprimns µ DAR C µ DIF r-procss si??

4 Nurino-nuclus Inracion Chargd Currn C N Nural Currn C Probabiliy of inracion C * Nurino-nuclus cross scion A Z A Z A A * * 1 Z 1 Z ple r l σ El J f = F Z 1 El dcosθ Tσ k J f π Nuclar Modl 4

5 Nurino-nuclus Inracion Z A Z A Z A Z A * * = 1 1 cos 1 f l l l f l J k T d E Z F E p J E r σ θ π σ G 1 r Nuclar Modl r ik W l J G r H r r r = α α Wak HamilonianWalcka s book 5 Ο Ο = Τ i f l i f M M i s s M M i i W f f i f L J M J H M J J J k αβ β α σ 1 1 i i r ik f f M J J M J r r = Ο α α i J.D.Walcka Thor. Nuc. and Subnuc. Phys. 95 ii Kuramoo al. NPA iii Luyn al. NP µ-capur iv Krmpoic al. PRC all ar quivalns.

6 NuclarSrucur Modls: RPA RPA: Random Phas Approximaion : : ' ' 4 1 ' ' ' ' ' 1 p n n p A nn pp pn A s a a a a n p V pn H n p a a a a V a a H τ τ τ τ τ = = =

7 NuclarSrucur Modls: QRPA QRPA: QuasipariclRandom Phas Approximaion λ u v u v = 0 11 C 13 C E ± k = ± E k λ k 7

8 NuclarSrucur Modls: QRPA QRPA: QuasipariclRandom Phas Approximaion 8

9 NuclarSrucur Modls: PQRPA PQRPA: Projcd QRPA Numbr of paricls is consrvd xacly. Krmpoic al. PLB PBCS gap quaion ε K K k R K K K K k I K K R k k R I K K = K K 13 C:

10 NuclarSrucur Modls: PQRPA PQRPA: Projcd QRPA Usual BCS and QRPA rsul from: i pn pn -λ pn ii I K 1 10

11 NuclarSrucur Modls : QRPA vspqrpa ε K K k Volp al PRC ``difficulis in choosing h g.s. of N bcaus h lows ± E sa is no h k = ± E k λk mos collciv on K K K K R0 k R11 k K K I k R I K K 0 = K K 1p -1h ph-chanlparamrs from sysmaic sudy GT rssonancsf.k.&s.s. NPA PI: v s ph =v pair v ph =v s ph /0.6 PII: v s ph =7v ph =64 p -h 3p -3h 11

12 NuclarSrucur Modls : QRPA vspqrpa 1p -1h p -h 3p -3h B 1/ GT σ C c Projcion Procdur is Imporan! Krmpoical. PRC

13 Finding Nurinos Oscillaions KARMEN LSND σ J f = n E σ E J f de KARMEN no oscillaion signal LSND xprimn obsrvs xcsss of vns for boh h and oscillaion sarchs corrsponding o oscillaion probabiliis of % and % rspcivly.

14 Finding Nurinos Oscillaions KARMEN LSND KARMEN no oscillaion signal LSND xprimn obsrvs xcsss of vns for boh h and oscillaion sarchs corrsponding o oscillaion probabiliis of % and % rspcivly. a RPA-PRC b RPA-PRC c CRPA-NPA d QRPA-PRC LSND Col. PRC f LSND Col. PRC

15 CRPA vs. PQRPA Nurino-nuclus cross scion is imporan o consrain paramrs in nurino oscillaions. µ µ * incrasing probabiliy oscillaions. * confidnc lvl rgion is diminishd by diffrnc in σ bwn PQRPAand CRPA Samana al. PLB

16 CRPA vs. PQRPA RQRPA vs. PQRPA Elcronnurino- Cxclusivcross scion J=0 :σ 0σ 0- J=1 :σ 0σ 0-σ 1σ 1- J=6:σ 0.σ 6-=inclusiv σ

17 CRPA vs. PQRPA PQRPA vs.? Elcron aninurino- C cross scion J=0 :σ 0σ 0- J=1 :σ 0σ 0-σ 1σ 1- J=6:σ 0.σ 6-=aninurino inclusiv σ

18 Excid sas PQRPA C foldd nurino flux from ba-bam wih cross scion Lazauskas and Volp NPA xampls: 16 O 56 F 08 Pb MV

19 Excid sas PQRPA

20 Mos of suprnova nurino dcors ar dsignd primarily for ohr purpos: Proon dcay sarch Solar and amosphric nurino physics Acclraor nurino oscillaion sudis High nrgy nurino sourc sarch Suprnova Nurinos BOREXino INFN Gran Sasso Naional Laboraory Ialy. n p LVD Ialy. Main dcion channl: γ D p n n p... Chargd currn inracion Mn F Co F B C C Nural currn inracion * * τ µ τ µ τ µ τ µ τ µ τ µ τ µ τ µ C C C C

21 Suprnova Nurinos Numbr of arg nucli Nurino flux Inracion cross scion Efficincy v = 0 F σ ε E E E de SNO d p p p n LVD σ E Supr-K O O F C C F F B Co Mn F E

22 Suprnova Nurinos Oscillaions Enhancmn of nurinos oscillaion inducd by h nurino propagaion hrough mar: MSWMikhyv-Smirnov-Wolfnsin ffc P U U U H 1 3 = cos = = cos sn θ θ cos θ sn xp[ cons. U θ θ cos sn θ θ Flip probabiliy a rsonanc H 3 mam / E /3 ] F Effciv mpraur Nurino nrgy Tim-ingrad nrgy 0 α LVD: Agafonova al. Asrop. Phys INFN Gran Sasso Naional Lab. Ialy. Lα E Tα ηα Lα D 4 E/ 4πD T F η E = T α η α α 3 α Normal hirarchy m am>0 1 F F = P H = U U 1 F 0 F 0 U x µτ 1 P F 0 x. H U F 0 x Disanc o suprnova Norm.facor Pinching paramr

23 Suprnova Nurinos * F Co 3

24 Suprnova Nurinos * F Co A.R. Samanaand C.A. Brulani nucl-h/ submid o PRC 4

25 Suprnova Nurinos W nd mor daild sudis lik * F Co 56 /-116 KARMEN 5

26 Suprnova Nurinos * F Co 6

27 Suprnova Nurinos * F Co 7

28 Nx sudis Could h nw cross scion consrain hs rsuls?

29 Summary PQRPA-QRPA - imporanc of nurino-nuclus CS -simpls dla inracion i was only usd for charg xchang racions pn-pqrpa - slf-consisncy numbr of paricls is consrvd imporan in ligh and mdium mass nucli. - xnsion of PQRPA o charg consrving o valua nural currn imporan for asrophysical applicaions. - improv h inracion hru DFT. -couldbpossiblvaluacswihcc? -CI&SMwih3Nbodyforcs. THANKS!...