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J-PARC hadron physics in 2016, 02-04, March, Tokai, Japan Reanalysis of the reaction p (1020)p Reanalysis of the reaction p (1020)p with the recent CLAS data with the recent CLAS data ) S a n g - H o K

slide-1
SLIDE 1

S a n g

  • H
  • K

i m ( 金相鎬 )

A s i a P a c i fj c C e n t e r f

  • r

T h e

  • r

e t i c a l P h y s i c s ( A P C T P ) , P O S T E C H

J-PARC hadron physics in 2016, 02-04, March, Tokai, Japan

Reanalysis of the reaction p

(1020)p γ → φ with the recent CLAS data

Reanalysis of the reaction p

(1020)p γ → φ with the recent CLAS data

In collaboration with

⚬Yongseok Oh (KNU, APCTP)

slide-2
SLIDE 2

2

O u t l i n e

2

I n v e s t i g a t i

  • n
  • f

s t r a n g e s e c t

  • r

P R O D U C T I O N

  • f

H A D R O N S

E x t e n s i

  • n

( P r e d i c t i

  • n

) t

  • c

h a r m s e c t

  • r
slide-3
SLIDE 3

3

O u t l i n e

2

I n v e s t i g a t i

  • n
  • f

s t r a n g e s e c t

  • r

c s

P R O D U C T I O N

  • f

H A D R O N S

E x t e n s i

  • n

( P r e d i c t i

  • n

) t

  • c

h a r m s e c t

  • r
slide-4
SLIDE 4

4

O u t l i n e

2

I n v e s t i g a t i

  • n
  • f

s t r a n g e s e c t

  • r

c s

(O) PRD92.094021(2015) with J-PARC collaborators

(O) Drafting (Δ) Preliminary (strange sector) with LEPS collaborators

PRD93.034009(2016), IHEP PRD92.034022(2015), Julich

P

c

( 4 3 8 ) , P

c

( 4 4 5 ) ?

P R O D U C T I O N

  • f

H A D R O N S

E x t e n s i

  • n

( P r e d i c t i

  • n

) t

  • c

h a r m s e c t

  • r

(O) Only strange sector (N* physics)

slide-5
SLIDE 5

5

O u t l i n e

2

I n v e s t i g a t i

  • n
  • f

s t r a n g e s e c t

  • r

c s

(O) PRD92.094021(2015) with J-PARC collaborators

(O) Drafting (Δ) Preliminary (strange sector) with LEPS collaborators

PRD93.034009(2016), IHEP PRD92.034022(2015), Julich

P

c

( 4 3 8 ) , P

c

( 4 4 5 ) ?

P R O D U C T I O N

  • f

H A D R O N S

E x t e n s i

  • n

( P r e d i c t i

  • n

) t

  • c

h a r m s e c t

  • r

(O) Only strange sector (N* physics)

slide-6
SLIDE 6

6 ◈ Background ◈ Previous analyses ◈ Problems of current theoretical works ◈ Results : 𐤠 total cross sections (σ)

𐤠 difgerential cross sections (dσ/dΩ, dσ/dt)

◈ Summary

Contents

3

slide-7
SLIDE 7

7 Soft hadronic processes

4

R e g g e

  • n

( Me s

  • n

e x c h a n g e )

Donnachie, Pomeron Physics and QCD (2002)

  • D

e s c r i b e s a n e x c h a n g e

  • f

a f a m i l y

  • f
  • r

d i n a r y m e s

  • n

s .

  • G
  • v

e r n s r e l a t i v e l y l

  • w

e n e r g y r e g i

  • n

s .

  • (

ρ , ω ) t r a j e c t

  • r

i e s ( C =

  • 1

, n a t u r a l p a r i t y ) & ( ƒ ₂ , a ₂ ) t r a j e c t

  • r

i e s ( C = + 1 , n a t u r a l p a r i t y ) a r e a l l d e g e n e r a t e .

Sangho Kim (APCTP)

slide-8
SLIDE 8

8 Soft hadronic processes

5

Donnachie, Pomeron Physics and QCD (2002)

P

  • m

e r

  • n
  • I

s n

  • t

a s s

  • c

i a t e d w i t h t h e m e s

  • n

t r a j . s .

  • H

a s

t h e q . n . s

  • f

t h e v a c u u m , I = a n d C = + 1 .

  • G
  • v

e r n s r e l a t i v e l y h i g h e n e r g y r e g i

  • n

s .

  • A

s s u m i n g t h e t r a j e c t

  • r

y :

  • T

h e r e i s n

  • d

e e p t h e

  • r

y r e a s

  • n

f

  • r

t h e P

  • m

e r

  • n

h y p

  • t

h e s i s , b u t t h e p h e n

  • m

e n

  • l
  • g

y b a s e d

  • n

w h i c h t u r n s

  • u

t t

  • b

e v e r y s u c c e s s f u l .

Sangho Kim (APCTP)

slide-9
SLIDE 9

9 Elastic photoproduction of vector mesons

6

Laget, PLB.489.313(2000)

  • P
  • m

e r

  • n

i s t h e r e s u l t

  • f

n

  • n
  • p

e r t u r b a t i v e Q C D i n t e r a c t i

  • n

i n g l u

  • n

s e c t

  • r

.

  • N

a t u r a l p a r i t y ( + 1 ) .

  • T

h e d y n a m i c s

  • f

R e g g e

  • n

i s r e l a t e d t

  • n
  • n
  • p

e r t u r a b t i v e Q C D i n q

  • q

s e c t

  • r

.

  • U

n n a t u r a l p a r i t y (

  • 1

) .

  • O

Z I s u p p r e s s e d .

L

  • w

e n e r g y H i g h e n e r g y

  • - - - Pomeron
  • • • • Pomeron + ƒ₂

—— total

Sangho Kim (APCTP)

slide-10
SLIDE 10

10 Elastic photoproduction of vector mesons

7

Laget, PLB.489.313(2000)

  • - - - Pomeron
  • • • • Pomeron + ƒ₂

—— total

  • G

e n e r a l v e c t

  • r

m e s

  • n

e x c h a n g e s ( ρ , ω ) [ J

P C

( 1

  • )

] a r e n

  • t

a l l

  • w

e d d u e t

  • t

h e i r n e g a t i v e c h a r g e c

  • n

j u g a t i

  • n

s ( C =

  • 1

) .

  • V

e c t

  • r

m e s

  • n

s w i t h e x

  • t

i c q . n . [ J

P C

( 1

  • +

) ] a r e p

  • s

s i b l e b u t t h e y , p

  • s

s i b l y h y b r i d e x

  • t

i c m e s

  • n

s , a r e n

  • t

m u c h k n

  • w

n e x p e r i m e n t a l l y .

  • s
  • a

n d u

  • c

h a n n e l e x c h a n g e s

Sangho Kim (APCTP)

slide-11
SLIDE 11

11 φ photoproduction in low energy regions

8

  • Me

s

  • n

p h

  • t
  • p

r

  • d

u c t i

  • n

h a s b e e n a v e r y u s e f u l e x p e r i m e n t a l t

  • l

t

  • i

n v e s t i g a t e Q C D a s a h a d r

  • n

i c d e g r e e s

  • f

f r e e d

  • m

.

  • A

b u n d a n t e x p . a l d a t a a r e r e p

  • r

t e d r e c e n t l y a t C L A S i n l

  • w

e n e r g y r e g i

  • n

s ( E

γ

= 1 . 6 ~ 3 . 6 G e V ) .

[ S e r a y d a r y a n , P R C . 8 9 . 5 5 2 6 ( 2 1 4 ) ] & [ D e y , P R C . 8 9 . 5 5 2 8 ( 2 1 4 ) ] .

  • P
  • m

e r

  • n

a l

  • n

e i s n

  • t

s u ffj c i e n t t

  • d

e s c r i b e l

  • w

e n e r g y r e g i

  • n

s .

  • O

u r g

  • a

l i s t

  • r

e a n a l y z e t h e m t h e

  • r

e t i c a l l y .

Sangho Kim (APCTP)

slide-12
SLIDE 12

12 Previous theoretical works for the γp → φ(1020)p

9

  • N

a g a n

  • ,

T

  • k

i , P r

  • c

e e d i n g s ( 1 9 9 8 )

: s c a l a r g l u e b a l l ( J

π

=

+

, M

g l

2

≃ 3 G e V

2

) .

  • Wi

l l i a m s , P R C , 5 7 , 2 2 3 ( 1 9 9 8 )

: s s k n

  • c

k

  • u

t , n

  • n

z e r

  • φ

N N c

  • u

p l i n g s .

  • T

i t

  • v

e t a l . , P R C , 6 , 3 5 2 5 ( 1 9 9 9 )

: s c a l a r m e s

  • n

s ( σ , a , ƒ ) .

  • L

a g e t , P L B , 4 8 9 , 3 1 3 ( 2 )

: ƒ

2

( 1 2 7 ) m e s

  • n

, t w

  • g

l u

  • n

e x c h a n g e .

  • T

i t

  • v

, L e e , P R C , 6 7 , 6 5 2 5 ( 2 3 )

: ƒ

2

( 1 2 7 ) , ƒ '

2

( 1 5 2 5 ) m e s

  • n

s , N

* .

∴ P

  • m

e r

  • n

& p s e u d

  • s

c a l a r m e s

  • n

s ( π , η ) i n c

  • m

m

  • n

. t

  • c

h a n n e l c

  • n

t r i b u t i

  • n

s a r e w i d e l y s t u d i e d .

Sangho Kim (APCTP)

slide-13
SLIDE 13

13 Previous theoretical works for the γp → φ(1020)p

9

  • N

a g a n

  • ,

T

  • k

i , P r

  • c

e e d i n g s ( 1 9 9 8 )

: s c a l a r g l u e b a l l ( J

π

=

+

, M

g l

2

≃ 3 G e V

2

) .

  • Wi

l l i a m s , P R C , 5 7 , 2 2 3 ( 1 9 9 8 )

: s s k n

  • c

k

  • u

t , n

  • n

z e r

  • φ

N N c

  • u

p l i n g s .

  • T

i t

  • v

e t a l . , P R C , 6 , 3 5 2 5 ( 1 9 9 9 )

: s c a l a r m e s

  • n

s ( σ , a , ƒ ) .

  • L

a g e t , P L B , 4 8 9 , 3 1 3 ( 2 )

: ƒ

2

( 1 2 7 ) m e s

  • n

, t w

  • g

l u

  • n

e x c h a n g e .

  • T

i t

  • v

, L e e , P R C , 6 7 , 6 5 2 5 ( 2 3 )

: ƒ

2

( 1 2 7 ) , ƒ '

2

( 1 5 2 5 ) m e s

  • n

s , N

* .

∴ P

  • m

e r

  • n

& p s e u d

  • s

c a l a r m e s

  • n

s ( π , η ) i n c

  • m

m

  • n

. t

  • c

h a n n e l c

  • n

t r i b u t i

  • n

s a r e w i d e l y s t u d i e d .

Mibe(LEPS)PRL.95.182001(2005) Sangho Kim (APCTP)

slide-14
SLIDE 14

14 Previous theoretical works for the γp → φ(1020)p

9

  • N

a g a n

  • ,

T

  • k

i , P r

  • c

e e d i n g s ( 1 9 9 8 )

: s c a l a r g l u e b a l l ( J

π

=

+

, M

g l

2

≃ 3 G e V

2

) .

  • Wi

l l i a m s , P R C , 5 7 , 2 2 3 ( 1 9 9 8 )

: s s k n

  • c

k

  • u

t , n

  • n

z e r

  • φ

N N c

  • u

p l i n g s .

  • T

i t

  • v

e t a l . , P R C , 6 , 3 5 2 5 ( 1 9 9 9 )

: s c a l a r m e s

  • n

s ( σ , a , ƒ ) .

  • L

a g e t , P L B , 4 8 9 , 3 1 3 ( 2 )

: ƒ

2

( 1 2 7 ) m e s

  • n

, t w

  • g

l u

  • n

e x c h a n g e .

  • T

i t

  • v

, L e e , P R C , 6 7 , 6 5 2 5 ( 2 3 )

: ƒ

2

( 1 2 7 ) , ƒ '

2

( 1 5 2 5 ) m e s

  • n

s , N

* .

∴ P

  • m

e r

  • n

& p s e u d

  • s

c a l a r m e s

  • n

s ( π , η ) i n c

  • m

m

  • n

. A f t e r a n

  • b

s e r v a t i

  • n
  • f

t h e b u m p s t r u c t u r e , m

  • s

t

  • f

w

  • r

k s h a v e m

  • v

e d

  • n

t

  • t

h e i n v e s t i g a t i

  • n
  • f

N

*

r e s

  • n

a n c e s . t

  • c

h a n n e l c

  • n

t r i b u t i

  • n

s a r e w i d e l y s t u d i e d .

Mibe(LEPS)PRL.95.182001(2005) Sangho Kim (APCTP)

slide-15
SLIDE 15

15 Previous theoretical works for the γp → φ(1020)p

  • T

i t

  • v

, K a m p f e r , P R C , 7 6 , 3 5 2 2 ( 2 7 )

: P

  • m

e r

  • n

+ ( π , η ) m e s

  • n

s .

  • O

z a k i , H

  • s

a k a , N a g a h i r

  • ,

S c h

  • l

t e n , P R C , 8 , 3 5 2 1 ( 2 9 )

: c

  • u

p l e d

  • c

h a n n e l e fg e c t i v e

  • L

a g r a n g i a n m e t h

  • d

b a s e d

  • n

t h e K

  • m

a t r i x a p p r

  • a

c h . S u g g e s t t h e e x i s t e n c e

  • f

a N

*

, J

P

= 1 / 2

  • r

e s

  • n

a n c e ( M= 2 . 2 5 , Γ = . 1 [ G e V ] ) .

  • K

i s w a n d h i , X i e , Y a n g , P L B , 6 9 1 , 2 1 4 ( 2 1 )

: A s s u m e a N

*

r e s

  • n

a n c e

  • f

J

P

= 3 / 2

  • (

M= 2 . 1 ± . 3 , Γ = . 4 6 5 ± . 1 4 1 [ G e V ] ) .

  • K

i s w a n d h i , Y a n g , P R C , 8 6 , 1 5 2 3 ( 2 1 2 )

: N

*

  • f

J

P

= 3 / 2

±

( M= 2 . 8 ± . 4 , Γ = . 5 1 ± . 1 1 7 ( P = + ) , . 5 7 ± . 1 5 9 ( P =

  • )

[ G e V ] ) .

  • R

y u , T i t

  • v

, H

  • s

a k a , K i m , P T E P , 2 1 4 , 2 3 D 3 ( 2 1 4 )

: v a r i

  • u

s h a d r

  • n

i c r e s c a t t e r i n g c

  • n

t r i b u t i

  • n

s , f

  • c

u s i n g

  • n

t h e K Λ ( 1 5 2 ) c h a n n e l .

10

Sangho Kim (APCTP)

slide-16
SLIDE 16

16 Previous theoretical works for the γp → φ(1020)p

11

R y u ( 2 1 4 ) K i s w a n d h i ( 2 1 ) K i s w a n d h i ( 2 1 2 ) O z a k i ( 2 9 )

N

*

N

*

N

*

Sangho Kim (APCTP)

slide-17
SLIDE 17

17 Previous theoretical works for the γp → φ(1020)p

D

  • t

h e s e t h e

  • r

i e s d e s c r i b e t h e r e c e n t C L A S d a t a w e l l ?

12

Sangho Kim (APCTP)

slide-18
SLIDE 18

18 Previous theoretical works for the γp → φ(1020)p

D

  • t

h e s e t h e

  • r

i e s d e s c r i b e t h e r e c e n t C L A S d a t a w e l l ?

12

Sangho Kim (APCTP)

slide-19
SLIDE 19

19 Previous theoretical works for the γp → φ(1020)p

D

  • t

h e s e t h e

  • r

i e s d e s c r i b e t h e r e c e n t C L A S d a t a w e l l ?

12

N

  • !

Sangho Kim (APCTP)

slide-20
SLIDE 20

20 Theoretical problem for the γp → φ(1020)p

13

arXiv:1403.3730, Dey

Sangho Kim (APCTP)

s-channel t-channel u-channel

Kim et al, PRD92.094021 (2015)

slide-21
SLIDE 21

21 Theoretical problem for the γp → φ(1020)p

13

arXiv:1403.3730, Dey

Sangho Kim (APCTP)

s-channel t-channel u-channel

Kim et al, PRD92.094021 (2015)

slide-22
SLIDE 22

22

14

He, NPA.927.24 (2014)

Theoretical problem for the γp → φ(1020)p

Sangho Kim (APCTP)

Kim et al, PRD92.094021 (2015)

s-channel t-channel u-channel

slide-23
SLIDE 23

23 Numerical results: Pomeron

15

  • s

c a t t e r i n g a m p l i t u d e :

  • t

r a n s i t i

  • n
  • p

e r a t

  • r

:

  • s

c a l a r f u n c t i

  • n

:

  • f
  • r

m f a c t

  • r

s :

Sangho Kim (APCTP)

slide-24
SLIDE 24

24 Numerical results: Pomeron

15

Sangho Kim (APCTP)

slide-25
SLIDE 25

25 Numerical results: Meson exchange

16

Sangho Kim (APCTP)

slide-26
SLIDE 26

26 Numerical results: Meson exchange

16

Sangho Kim (APCTP)

slide-27
SLIDE 27

27 Numerical results: Meson exchange

16

z

Sangho Kim (APCTP)

slide-28
SLIDE 28

28 Numerical results: glueball & ƒ2 trajectories

17

  • e

fg e c t i v e L a g r a n g i a n s f

  • r

V V ξ i n t e r a c t i

  • n

s , ( V , ξ ) = > (

+

, 2

+

) fj e l d s

  • s

c a t t e r i n g a m p l i t u d e :

  • t

r a n s i t i

  • n
  • p

e r a t

  • r

:

  • s

c a l a r f u n c t i

  • n

:

Titov, Lee, PRC, 67, 065205 (2003)

Sangho Kim (APCTP)

slide-29
SLIDE 29

29

18

Numerical results: Pomeron + π Reggeon

Sangho Kim (APCTP)

…...

Pomeron

  • - - -

π Reggeon Pomeron + π Reggeon

slide-30
SLIDE 30

30

19

Numerical results: Pomeron + π Reggeon

Sangho Kim (APCTP)

…...

Pomeron

  • - - -

π Reggeon Pomeron + π Reggeon

slide-31
SLIDE 31

31

20

Numerical results: Pomeron + π Reggeon

Sangho Kim (APCTP)

…...

Pomeron

  • - - -

π Reggeon Pomeron + π Reggeon

slide-32
SLIDE 32

32

21

Numerical results: Pomeron + π Reggeon

Sangho Kim (APCTP)

…...

Pomeron

  • - - -

π Reggeon Pomeron + π Reggeon

slide-33
SLIDE 33

33

22

Spin density matrices

Sangho Kim (APCTP)

slide-34
SLIDE 34

34

23

Summary

Sangho Kim (APCTP)

◇ φ p h

  • t
  • p

r

  • d

u c t i

  • n

, γ p → φ ( 1 2 ) p , i s r e a n a l y z e d . ◇ A b u m p s t r u c t u r e i s

  • b

s e r v e d a t b

  • t

h L E P S ( 2 5 ) & C L A S ( 2 1 4 ) C

  • l

l a b

  • r

a t i

  • n

s i n f

  • r

w a r d a n g l e r e g i

  • n

. ◇ N * s c e n a r i

  • m

a y n

  • t

b e a c

  • r

r e c t a n s w e r f

  • r

t h i s d e s c r i p t i

  • n

. ◇ V a r i

  • u

s c

  • n

t r i b u t i

  • n

s f r

  • m

t

  • c

h a n n e l e x c h a n g e s a r e c

  • n

s i d e r e d i n a d d i t i

  • n

t

  • t

h e d

  • m

i n a n t P

  • m

e r

  • n

e x c h a n g e . ⇨ p s e u d

  • s

c a l a r m e s

  • n

( π , η ) ⇨ s c a l a r m e s

  • n

( σ , a , ƒ ) ⇨ g l u e b a l l ( J

π

=

+

, Mg

l

2

≃ 3 G e V

2

) ⇨ ƒ

2

t r a j e c t

  • r

i e s . . . ◇ Mo r e e x t e n s i v e s t u d i e s a r e r e q u i r e d .

slide-35
SLIDE 35

35

23

Summary

Sangho Kim (APCTP)

◇ φ p h

  • t
  • p

r

  • d

u c t i

  • n

, γ p → φ ( 1 2 ) p , i s r e a n a l y z e d . ◇ A b u m p s t r u c t u r e i s

  • b

s e r v e d a t b

  • t

h L E P S ( 2 5 ) & C L A S ( 2 1 4 ) C

  • l

l a b

  • r

a t i

  • n

s i n f

  • r

w a r d a n g l e r e g i

  • n

. ◇ N * s c e n a r i

  • m

a y n

  • t

b e a c

  • r

r e c t a n s w e r f

  • r

t h i s d e s c r i p t i

  • n

. ◇ V a r i

  • u

s c

  • n

t r i b u t i

  • n

s f r

  • m

t

  • c

h a n n e l e x c h a n g e s a r e c

  • n

s i d e r e d i n a d d i t i

  • n

t

  • t

h e d

  • m

i n a n t P

  • m

e r

  • n

e x c h a n g e . ⇨ p s e u d

  • s

c a l a r m e s

  • n

( π , η ) ⇨ s c a l a r m e s

  • n

( σ , a , ƒ ) ⇨ g l u e b a l l ( J

π

=

+

, Mg

l

2

≃ 3 G e V

2

) ⇨ ƒ

2

t r a j e c t

  • r

i e s . . . ◇ Mo r e e x t e n s i v e s t u d i e s a r e r e q u i r e d .

Thank you very much