probing nuclear correlations via (ppx) reactionsis very powerful to investigate a s.p. nature of...

Probing nuclear correlationsvia (p,pX) reactions

Kazuyuki Ogatain collaboration with

Kazuki Yoshida, Kosho Minomo, and Michio Kohno

Research Center for Nuclear Physics (RCNP), Osaka University

n

c

p

c

A

n

p

This work was funded in part by ImPACT Program of Council for Science, Technology and Innovation (Cabinet Office, Government of Japan).

1) (p,pN) momentum distribution (MD) as a “probe” of nucleon s.p. MDKO, Yoshida, and Minomo, arXiv:1505.06624 (2015).

2) Microscopic Effective Reaction Theory for (p,pN)

3) Proving multi-nucleon correlations via (p,pX)(p,p): talk by Kazuki Yoshida in this WS.

3NF: K. Minomo, Kohno, Yoshida, and O, in preparation.

Outline

Elastic Breakup / KnockOut

n

B

A

EB KO

・Small energy-momentum transfer・Corresponds to a breakup of a well-

developed cluster state・Relatively strong CC effects (CDCC /

Glauber)

・Large energy-momentum transfer・Corresponds to a breakup/knockout

of a tightly bound nucleon・Relatively weak CC effects (DWIA)

p

n

K

k

K0B

kK0

Ap

n

B

p

p(A, B+n)p

Eikonal (non-adiabatic) DWIA

nK0

Kn

KpA pp

A-rest frame

Phase volume

“Mom. dist.” of nucleon in ADW factor

cf. T. Aumann, Bertulani, Ryckebusch, PRC88, 064610 (2013).

isotropic approx.

B

KB

Exp. data: T. Noro, private communication (2014).

E1 = 250 MeV

1 = 32.5 deg.

12C(p,2p)11Bgs at 392 MeV

Validating the eikonal DWIA

S-factor obtained by (e,e’p) is used.

MD calculation with Eikonal DWIA

MD of B

B

n KBK0

Kn

KpA pp

A-rest frame

PWIA (for analysis)

Phase volume

DW factor

-600 -400 -200 0 200 4000

1

2

3

PB// (MeV/c)

d/d

P B//

[b/

(MeV

/c)]

PMD of 13O for 14O(p,pn)13O at 100 A MeV

DWIA

Sn = 23.2 MeV (0p3/2), S factor = 1

Can we interpret the PMD as the nucleon MD inside 14O?

Pcen

l

PMDmax S

PB//

B

PB⊥

A-rest frame

-600 -400 -200 0 200 4000

10

20

30

PB// (MeV/c)

d/d

P B//

[b/

(MeV

/c)]

Phase volume (PV) effect on the PMD

PWIA

Sn = 23.2 MeV (0p3/2), S factor = 1

・The PV effect gives a cut on the high-mom side resulting in a reduction of .・The PMD height changes little and the integrated PMD decreases significantly.

PB//

B

PB⊥

A-rest frame

w/o w/

Phase volume effect

Ep + En = E0 EB

Ep + En : must be large

Ep + En : can be small

B

n KB

K0

Kn

Kp

Ap

p

B

nKn

Kp p

KB

Positive KB//

Negative KB//

Kp + Kn = K0 KB

A-rest frame

-600 -400 -200 0 200 4000

2

4

PB// (MeV/c)

d/d

P B//

[b/

(MeV

/c)]

Momentum shift due to the distortionSn = 23.2 MeV (0p3/2), S factor = 1

・Attractive (real) potential of B gives the low-momentum tail.・The PMD height changes significantly and the integrated PMD changes little.

A-rest frameDWIAw/o V

Bp

n

V + iW

Mom. Dist. (MD) with Eikonal DWIA

MD of B

B

n KBK0

Kn

KpA pp

A-rest frame

nKn n

Kn(R)

z

VMom. shift toward +z direction

z

1) (p,pN) momentum distribution (MD) as a “probe” of nucleon s.p. MDKO, Yoshida, and Minomo, arXiv:1505.06624 (2015).

Phase volume effect cuts the high-momentum side of the PMD, changing the integrated value of the PMD.

Mom. shift due to an attractive potential by the residue generates the tail on the low-mom. side, changing the height of the PMD.

2) Microscopic Effective Reaction Theory for (p,pN)

Summary

Microscopic description of N-A scatteringproton neutron

・g-matrix folding calculation describes the N-A scattering w/o free parameter.・Distorted waves in (p,pN) are reliably obtained if nuclear density is provided.

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Extraction genuine data w/ MERTMicroscopic Effective Reaction Theory

・Model space is determined by analysis of alternative reaction data.・Structural information is given by Tsukuba group (or others).・MERT generates the objective reaction data.

A(p,pn)B

A(n,2n)B

from (p,pn) to (n,2n)

n

B

p

B

A

n

p

n

B

n

B

A

n

n

from neutron pickupto neutron capture

A

p d

A(d,p)B

B

A+n → B

n

p

1) (p,pN) momentum distribution (MD) as a “probe” of nucleon s.p. MDKO, Yoshida, and Minomo, arXiv:1505.06624 (2015).

Phase volume effect cuts the high-momentum side of the PMD, changing the integrated value of the PMD.

Mom. shift due to an attractive potential by the residue generates the tail on the low-mom. side, changing the height of the PMD.

2) Microscopic Effective Reaction Theory for (p,pN) is very powerful to investigate a s.p. nature of unstable nuclei. Genuine (n,2n) “data” will be generated from (p,pn) data with MERT.

3) Proving multi-nucleon correlations (3NF effects) via (p,pX)

Summary

Chiral three nucleon force (3NF) effects

M. Kohno, PRC88, 064005 (2013). K. Minomo, Toyokawa, Kohno, Yahiro, PRC90, 051601 (2015).[see also T. Furumoto, Sakuragi, Yamamoto, PRC80, 044614 (2009)]

NN scattering observables in nuclear medium

(p,2p) as a probe of Ch-3NF effect

1) (p,pN) momentum distribution (MD) as a “probe” of nucleon s.p. MDKO, Yoshida, and Minomo, arXiv:1505.06624 (2015).

Phase volume effect cuts the high-momentum side of the PMD, changing the integrated value of the PMD.

Mom. shift due to an attractive potential by the residue generates the tail on the low-mom. side, changing the height of the PMD.

2) Microscopic Effective Reaction Theory for (p,pN) is very powerful to investigate a s.p. nature of unstable nuclei. Genuine (n,2n) “data” will be generated from (p,pn) data with MERT.

3) Proving multi-nucleon correlations (3NF effects) via (p,pX) (p,pN) as a probe of 3NF effect at around the normal density (p,p) as a clean probe of an alpha cluster state [talk by Yoshida (RCNP)]

Other subjects (p,pn) for studying 2n corr. [talks by Uesaka and Kikuchi] (p,pd) as a probe of pn corr. in a nucleus [collab. w/ Yoshida (Niigata)] Probing tensor corr. via (p,d) at higher energies [talk by Ong (RCNP)]

Summary