Hideko Nagahiro (RCNP)

1. International Nuclear Physics Conference “INPC2007” 4 June, 2007 Tokyo International Forum, Japan 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)92 H.Nagahiro, D.Jido, S.Hirenzaki, PRC68(03)035205 D.Jido, H.Nagahiro and S.Hirenzaki, PRC66(02)045202 D.Jido,E.Kolomeitsev, H.Nagahiro, S.Hirenzaki, in preparation H.Nagahiro, D.Jido, S.Hirenzaki, in preparation

2. Introduction • h-mesic nuclei • works 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= ½-] resonance • in-medium properties of N*(1535)h-mesic nuclei • Chiral doublet model … N* mass reduction in medium • Chiral 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) reaction • with the chiral doublet model & chiral unitary model • appropriate kinematics • comparison with the (p+,p) experiment at 1988

3. mass Kaiser, Siegel, Weise PLB362(95)23 Waas, Weise NPA625(97)287 Garcia-Recio, Nieves, Inoue, Oset PLB550(02)47 Inoue, Oset NPA710(02)354 Chiral unitary model  quasi bound state of KS … T V V V = + + no Pauli blocking for S in nuclear medium coupled channel Bethe-Salpater eq. in medium No mass shifts of N* is expected in the nuclear medium Chiral models for N*(1535) in medium DeTar, Kunihiro PRD39(89)2805 Jido, Nemoto, Oka, Hosaka NPA671(00)471 Jido, Oka, Hosaka PTP106(01)873 Kim, Jido, Oka NPA640(98)77 Chiral doublet model N* : Chiral partner of nucleon mass difference of N* and nucleon C ~ 0.2 : strength of chiral restoration at the saturation density r0 reduction of mass difference in the nuclear medium N* :resonance dynamicallygeneratedin meson-baryon scattering

4. N* - hole N* - hole medium effect associated with mass reduction repulsive energy w mN*-mN mh mN*-mN 1 2 3 4 5 6 7 r [fm] Jido,Kolomeitsev, Nagahiro, Hirenzaki in preparation r/r0 h-nucleus interaction ~ N* dominance model ~ h self-energy optical potential + (cross term) potential nature Chiang, Oset, Liu PRC44(1991)738 Jido, Nagahiro, Hirenzaki, PRC66(2002)045202 48 MeV attractive h level crossing poster June 5: QT-111 by D. Jido

5. doublet doublet unitary unitary w - mh = +100 MeV w - mh = -100 MeV 150 150 150 150 150 150 150 150 150 150 doublet 100 100 100 100 100 100 100 100 100 100 doublet 50 50 50 50 50 50 50 50 50 50 doublet 0 0 0 0 0 0 0 0 0 0 -50 -50 -50 -50 -50 -50 -50 -50 -50 -50 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -150 -150 -150 -150 -150 -150 -150 -150 -150 -150 V(r) [MeV] V(r) [MeV] V(r) [MeV] V(r) [MeV] V(r) [MeV] unitary unitary unitary w - mh = -50 MeV w - mh = -70 MeV w - mh = 0 MeV 6 8 4 2 2 2 4 4 6 6 8 8 r [fm] r [fm] r [fm] Energy dependence of the optical potentials 50 -100 -50 0 100 w [MeV] Chiral unitary model Inoue, Oset, NPA710(02) 354, fig.6

6. Missing mass spectroscopy : one nucleon pick-up • (d,3He) : established by studies of pionic atom formation • theory … 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 effect • w-nucleus … Marco, Weise, PLB502(01)59 • p-atom … Hirenzaki, Oset, PLB527(02)69 • h-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, … nucleon -hole Incident particle emitted particle target meson

7. energy range expected at J-PARC S.Prakhov et al., [Crystal Ball Collaboration] PRC72,015203 (2005). total Tp = 650 MeV (pp ~ 777 MeV/c) 12C(p+,p)11Ch reaction elementary cross section momentum transfer : forward proton angle (0 degree) w = mh – 100 MeV total cross section w = mh – 50 MeV w = mh ~ flat angular distribution Green function method Morimatsu, Yazaki NPA435(85)727 NPA483(88)493

8. 80 quasi-free quasi-free 60 bound region bound region p n 40 12C target 20 0 -100 -50 0 50 100 150 -100 -50 0 50 100 150 Eex – E0 [MeV] Eex – E0 [MeV] h production threshold h production threshold (s-state proton-hole) (p+,p) spectra : 12C target Tp = 650 MeV (pp = 777 MeV/c) :q = 0 deg. (Lab) recoilless at h threshold - 50 MeV Chiral doublet model [C=0.2] Chiral unitary model 18 MeV

9. unitary doublet V(r) [MeV] 2 2 2 2 4 4 4 4 6 6 6 6 8 8 8 8 r [fm] r [fm] r [fm] r [fm] 80 V(r) 60 at -100 MeV V(r) [MeV] 150 150 150 150 40 100 100 100 100 shallow b.s. 50 50 50 50 0 0 0 0 -50 -50 -50 -50 20 -100 -100 -100 -100 -150 -150 -150 -150 0 -100 -50 0 50 100 150 -100 -50 0 50 100 150 doublet unitary V(r) V(r) Eex – E0 [MeV] Eex – E0 [MeV] deep b.s. V(r) [MeV] V(r) [MeV] at threshold at -100 MeV V(r) at threshold (p+,p) spectra : 12C target Tp = 650 MeV (pp = 777 MeV/c) : q = 0 deg. (Lab) recoilless at h threshold - 50 MeV Chiral doublet model [C=0.2] Chiral unitary model quasi-free h

10. momentum transfer 500 15 deg. 400 [MeV] 300 200 0 deg. 100 0.4 0.6 0.8 1 1.2 1.4 pp [GeV/c] 0 Chrien at al., PRL60(88)2595, Fig.1 bound region bound region bound region bound region Li C O Al -100 -100 -50 -50 0 0 50 50 100 100 -100 -100 -50 -50 0 0 50 50 100 100 Eex – E0 [MeV] Eex – E0 [MeV] Eex – E0 [MeV] Eex – E0 [MeV] (p+,p) spectra : comparison of our calc. with the exp. data • Chrien et al., PRL60(1988)2595 • pp = 800 MeV/c • proton angle : 15 deg. (Lab.) • search for predicted narrow bound state ( ex. G ~ 10 MeV)  negative results (bound state was not observed) chiral doublet model chiral unitary model 80 0 deg. 0 deg. 40 0 30 15 deg. 15 deg. 20 10 0

11. Chiral doublet model Chiral unitary model

12. Chrien at al., PRL60(88)2595, Fig.1 bound region bound region bound region bound region Li C O Al -100 -50 0 50 100 -100 -50 0 50 100 Eex – E0 [MeV] Eex – E0 [MeV] (p+,p) spectra : comparison of our calc. with the exp. data • Chrien et al., PRL60(1988)2595 • pp = 800 MeV/c • proton angle : 15 deg. (Lab.) • The experimental data is consistent with both model •  This experimental set-up is not sensitive to N* in-medium [Also commented in Kohno et al, NPA519(90)755] proton angle should be 0 degree chiral doublet model chiral unitary model 80 0 deg. 0 deg. 40 0 30 30 15 deg. 15 deg. 20 20 10 10 0 0

13. Summary • Formation of h-mesic nuclei • In-medium properties of N*(1535) resonance • Chiral doublet model : deep bound state(s) • pocket-like potential, level crossing of h and N*-hole modes • Chiral unitary model : shallow bound state(s) • (p+,p) reaction • incident pion kinetic energy • Tp = 820 MeV (pp ~ 950 MeV/c) : recoilless at h threshold • Tp = 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 15°proton angle appropriate? • Not sensitive to the N* properties in-medium • We 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