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
Oulin Inroducion - Moivaion - Nurino- Nuclus Inracion Nuclar Modls - QRPA - PQRPA Applicaions. - Sarching for nurino oscillaions. - Dcion of suprnova nurinos.
Moivaion Sabl nucli Ground sa Excid sas Exoic nucli Thory Exprimns µ DAR C µ DIF r-procss si??
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 Z1 1 1 1 ple r l σ El J f = F Z 1 El dcosθ Tσ k J f π Nuclar Modl 4
Nurino-nuclus Inracion Z A Z A Z A Z A 1 1 1 1 * * = 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 5 711 1990 iii Luyn al. NP4136 1963µ-capur iv Krmpoic al. PRC71 044319005. all ar quivalns.
NuclarSrucur Modls: RPA RPA: Random Phas Approximaion : : ' ' 4 1 ' ' ' ' 3 4 1 4 3 ' 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 = = =
NuclarSrucur Modls: QRPA QRPA: QuasipariclRandom Phas Approximaion λ u v u v = 0 11 C 13 C E ± k = ± E k λ k 7
NuclarSrucur Modls: QRPA QRPA: QuasipariclRandom Phas Approximaion 8
NuclarSrucur Modls: PQRPA PQRPA: Projcd QRPA Numbr of paricls is consrvd xacly. Krmpoic al. PLB3191993393. PBCS gap quaion ε K K k R K K K K k I K K R k k R I K K 0 11 0 = K K 13 C: -1.6 9
NuclarSrucur Modls: PQRPA PQRPA: Projcd QRPA Usual BCS and QRPA rsul from: i pn pn -λ pn ii I K 1 10
NuclarSrucur Modls : QRPA vspqrpa ε K K k Volp al PRC 6 000 ``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 57 391994 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
NuclarSrucur Modls : QRPA vspqrpa 1p -1h p -h 3p -3h B 1/ GT σ C c Projcion Procdur is Imporan! Krmpoical. PRC71 044319005.
Finding Nurinos Oscillaions KARMEN 1983-005 LSND 1993-005 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 0.31-0.-0.05% and 0.6-0.10-0.05% rspcivly.
Finding Nurinos Oscillaions KARMEN 1983-005 LSND 1993-005 KARMEN no oscillaion signal LSND xprimn obsrvs xcsss of vns for boh h and oscillaion sarchs corrsponding o oscillaion probabiliis of 0.31-0.-0.05% and 0.6-0.10-0.05% rspcivly. a RPA-PRC 49 1994 1 b RPA-PRC 56 1997 368 c CRPA-NPA 65 199991 d QRPA-PRC 6 000 015501 LSND Col. PRC 551997 078 f LSND Col. PRC 561997 806
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. PLB64005 100
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
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
Excid sas PQRPA C foldd nurino flux from ba-bam wih cross scion Lazauskas and Volp NPA 79007 19 xampls: 16 O 56 F 08 Pb MV
Excid sas PQRPA
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 56 56 56 56 Nural currn inracion * * τ µ τ µ τ µ τ µ τ µ τ µ τ µ τ µ C C C C
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 16 16 Supr-K O O 16 16 F 56 56 C C F F B 56 56 Co Mn F E
Suprnova Nurinos Oscillaions 1985 - 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 13 13 13 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. 7 007 54 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
Suprnova Nurinos 56 56 * F Co 3
Suprnova Nurinos 56 56 * F Co A.R. Samanaand C.A. Brulani nucl-h/080.1553 submid o PRC 4
Suprnova Nurinos W nd mor daild sudis lik 56 56 * F Co 56 /-116 KARMEN 5
Suprnova Nurinos 56 56 * F Co 6
Suprnova Nurinos 56 56 * F Co 7
Nx sudis Could h nw cross scion consrain hs rsuls?
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!...