Formation spectra of h-mesic nuclei by (p+,p) reaction at J-PARCand chiral symmetry for baryons Hideko Nagahiro (RCNP)Collaborators :Daisuke Jido (YITP)Satoru Hirenzaki (Nara WU)H.Nagahiro, D.Jido and S.Hirenzaki, NPA761(05)92H.Nagahiro, D.Jido, S.Hirenzaki, PRC68(03)035205D.Jido, H.Nagahiro and S.Hirenzaki, PRC66(02)045202 D.Jido, E.Kolomeitsev, H.Nagahiro, S.Hirenzaki, in preparationH.Nagahiro, D.Jido, S.Hirenzaki, in preparationInternational Nuclear Physics Conference INPC20074 June, 2007Tokyo International Forum, Japan

INPC2007 @ Tokyo Japan, 4 June 2007

Introductionh-mesic nucleiworks for h-mesic nuclei(p+,p) * Liu, Haider, PRC34(1986)1845 [theo] * Chiang, Oset, and Liu, PRC44(1988)738 [theo] * Chrien et al., PRL60(1988)2595 [exp](d,3He) * Hayano, Hirenzaki, Gilltzer, EPJ.A6(1999)99 [theo] * D. Jido, H.Nagahiro, S. Hirenzaki, PRC66(2002)045202 [theo] * Exp. at GSI (Yamazaki, Hayano group) 2005-6 [exp](g,p) * H.Nagahiro, D.Jido, S.Hirenzaki, NPA761(2005)92 [theo] h-light-nucleus system : TAPS@MAMI(2004) [exp]etc (ex. (g,h) @ Tohoku, etc ) strong coupling to N*(1535) [JP= -] resonance in-medium properties of N*(1535) h-mesic nucleiChiral doublet model N* mass reduction in mediumChiral unitary model no change N* mass in medium

formation of h-mesic nuclei induced by meson beam p and K beams are available at J-PARC (p+,p) reactionwith the chiral doublet model & chiral unitary modelappropriate kinematicscomparison with the (p+,p) experiment at 1988

INPC2007 @ Tokyo Japan, 4 June 2007

Chiral models for N*(1535) in mediumChiral doublet modelN* : Chiral partner of nucleonDeTar, Kunihiro PRD39(89)2805Jido, Nemoto, Oka, Hosaka NPA671(00)471Jido, Oka, Hosaka PTP106(01)873Kim, Jido, Oka NPA640(98)77mass difference of N* and nucleonC ~ 0.2 : strength of chiral restoration at the saturation density r0reduction of mass difference in the nuclear mediumN* : resonance dynamically generated in meson-baryon scattering

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h-nucleus interaction ~ N* dominance model ~+ (cross term)Chiang, Oset, Liu PRC44(1991)738Jido, Nagahiro, Hirenzaki, PRC66(2002)045202h self-energyoptical potentialpotential nature48 MeVhattractivelevel crossingposter June 5: QT-111 by D. Jido

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Energy dependence of the optical potentials050100-50-100w [MeV]Chiral unitary modelInoue, Oset, NPA710(02) 354, fig.6

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Missing mass spectroscopy : one nucleon pick-up(d,3He) : established by studies of pionic atom formationtheory S.Hirenzaki, H.Toki, T.Yamazaki, PRC44(91)2472, experiment K.Itahashi et al., PRC62(00)025202, h-mesic nuclei formation : D.Jido,H.N.,S.Hirenzaki, PRC66(02)045202, H.N.,D.Jido,S.Hirenzaki, PRC68(03)035205. (g,p) : smaller distortion effectw-nucleus Marco, Weise, PLB502(01)59p-atom Hirenzaki, Oset, PLB527(02)69h-mesic nuclei formation : H.N., D.Jido,S.Hirenzaki, NPA761(05)92.(p+,p) : could be possible at J-PARC ?secondary meson beam, p, K, emitted particleIncident particletargetmeson-holenucleon

INPC2007 @ Tokyo Japan, 4 June 2007

12C(p+,p)11Ch reactionmomentum transfer : forward proton angle (0 degree)w = mhw = mh 50 MeVw = mh 100 MeVelementary cross sectionangular distribution~ flattotal cross sectionGreen function methodMorimatsu, Yazaki NPA435(85)727NPA483(88)493

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(p+,p) spectra : 12C targetTp = 650 MeV (pp = 777 MeV/c) : q = 0 deg. (Lab)Chiral doublet model [C=0.2]Chiral unitary modelrecoilless at h threshold - 50 MeV18 MeV

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(p+,p) spectra : 12C targetTp = 650 MeV (pp = 777 MeV/c) : q = 0 deg. (Lab)Chiral doublet model [C=0.2]Chiral unitary modelrecoilless at h threshold - 50 MeVquasi-free h

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(p+,p) spectra : comparison of our calc. with the exp. dataChrien et al., PRL60(1988)2595pp = 800 MeV/cproton angle : 15 deg. (Lab.)search for predicted narrow bound state ( ex. G ~ 10 MeV) negative results (bound state was not observed)

chiral unitary modelchiral doublet model8040030201000 deg.0 deg.15 deg.15 deg.

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Chiral doublet modelChiral unitary model

INPC2007 @ Tokyo Japan, 4 June 2007

(p+,p) spectra : comparison of our calc. with the exp. dataChrien et al., PRL60(1988)2595pp = 800 MeV/cproton angle : 15 deg. (Lab.)

chiral unitary modelchiral doublet model80400302010030201000 deg.0 deg.15 deg.15 deg. The experimental data is consistent with both model This experimental set-up is not sensitive to N* in-mediumproton angle should be 0 degree[Also commented in Kohno et al, NPA519(90)755]

INPC2007 @ Tokyo Japan, 4 June 2007

SummaryFormation of h-mesic nucleiIn-medium properties of N*(1535) resonanceChiral doublet model : deep bound state(s)pocket-like potential, level crossing of h and N*-hole modesChiral unitary model : shallow bound state(s)(p+,p) reactionincident pion kinetic energyTp = 820 MeV (pp ~ 950 MeV/c) : recoilless at h thresholdTp = 650 MeV (pp ~ 777 MeV/c) : recoilless at h threshold 50 MeV Reconsideration of the experimental data at 1988 by Chrien at al.Is the 15proton angle appropriate?Not sensitive to the N* properties in-mediumWe should discuss the whole shape itself in the case that the imaginary part might be large The proton angle ~ 0 deg. possible at J-PARC ?realistic discussion with experimentalists [H.Fujioka, K.Itahashi] refinements and concrete discussions for a real experiment