t stt ( ) ttr - PowerPoint PPT Presentation

❖♥ t❤❡ st❛❜✐❧✐t② ♦❢ Λ( ✶✹✵✺ ) ✲♠❛tt❡r ❏✳ ❍rtá♥❦♦✈á ✶ ✱ ◆✳ ❇❛r♥❡❛ ✷ ✱ ❊✳ ❋r✐❡❞♠❛♥ ✷ ✱ ❆✳ ●❛❧ ✷ ✱ ❏✳ ▼❛r❡➨ ✶ ✱ ❛♥❞ ▼✳ ❙❝❤ä❢❡r ✶ ✶ ◆✉❝❧❡❛r P❤②s✐❝s ■♥st✐t✉t❡ ♦❢ t❤❡ ❈③❡❝❤ ❆❝❛❞❡♠② ♦❢ ❙❝✐❡♥❝❡s✱ ➄❡➸✱ ❈③❡❝❤ ❘❡♣✉❜❧✐❝ ✷ ❘❛❝❛❤ ■♥st✐t✉t❡ ♦❢ P❤②s✐❝s✱ ❚❤❡ ❍❡❜r❡✇ ❯♥✐✈❡rs✐t②✱ ❏❡r✉s❛❧❡♠✱ ■sr❛❡❧ ✶

■♥tr♦❞✉❝t✐♦♥ ▼♦t✐✈❛t✐♦♥ ❢♦r♠❛t✐♦♥ ♦❢ st❛❜❧❡ ❤❛❞r♦♥✐❝ ♠❛tt❡r ❝♦♠♣♦s❡❞ ♦❢ Λ ∗ [Λ( ✶✹✵✺ )] ❜❛r②♦♥s ❨✳ ❆❦❛✐s❤✐✱ ❚✳ ❨❛♠❛③❛❦✐✱ P❤②s✳ ▲❡tt✳ ❇ ✼✼✹ ✭✷✵✶✼✮ ✺✷✷ str♦♥❣ ❡♥❡r❣②✲✐♥❞❡♣❡♥❞❡♥t ¯ KN ♣♦t❡♥t✐❛❧ ♣r♦❞✉❝✐♥❣ ( ¯ KN ) I = ✵ q✉❛s✐❜♦✉♥❞ st❛t❡ [Λ( ✶✹✵✺ )] ✷✼ ▼❡❱ ❜❡❧♦✇ t❤❡ K − p t❤r❡s❤♦❧❞ ❙✳ ▼❛❡❞❛✱ ❨✳ ❆❦❛✐s❤✐✱ ❚✳ ❨❛♠❛③❛❦✐✱ Pr♦❝✳ ❏♣♥✳ ❆❝❛❞✳ ❙❡r✳ ❇ ✽✾ ✭✷✵✶✸✮ ✹✶✽ ✐♠♣❧✐❝❛t✐♦♥s ❢♦r st❛❜❧❡ Λ ∗ ✲♠❛tt❡r ❜❛s❡❞ ♦♥ ❢❡✇✲❜♦❞② ❝❛❧❝✉❧❛t✐♦♥s✱ ♥♦ r❡❧✐❛❜❧❡ ♠❛♥②✲❜♦❞② ❝❛❧❝✉❧❛t✐♦♥s ❤❛✈❡ ❜❡❡♥ ❞♦♥❡ ⇓ ✇❡ ❤❛✈❡ ♣❡r❢♦r♠❡❞ ♠❛♥②✲❜♦❞② ❝❛❧❝✉❧❛t✐♦♥s ♦❢ Λ ∗ ♥✉❝❧❡✐ ✇✐t❤✐♥ t❤❡ ❘❡❧❛t✐✈✐st✐❝ ▼❡❛♥✲❋✐❡❧❞ ❛♣♣r♦❛❝❤ ❏✳ ❍rt❛♥❦♦✈❛ ❡t ❛❧✳✱ P❤②s✳ ▲❡tt✳ ❇ ✼✽✺ ✭✷✵✶✽✮ ✾✵✳ ✷

¯ KN ✐♥t❡r❛❝t✐♦♥ ¯ KN ✐♥t❡r❛❝t✐♦♥ ♠♦❞❡❧s 4.0 4.0 - p amplitude (fm) - p amplitude (fm) 3.0 3.0 YA P YA 2.0 2.0 KM P M2 1.0 1.0 M1 Imaginary K KM Real K M1 M2 B2 0.0 0.0 B4 B4 B2 -1.0 -1.0 1350 1400 1450 1500 1350 1400 1450 1500 1/2 (MeV) 1/2 (MeV) s s ❨❛♠❛③❛❦✐✲❆❦❛✐s❤✐ ✭❨❆✮ ❚✳ ❨❛♠❛③❛❦✐✱ ❨✳ ❆❦❛✐s❤✐✱ P❤②s✳ ❘❡✈✳ ❈ ✼✻ ✭✷✵✵✼✮ ✵✹✺✷✵✶ Pr❛❣✉❡ ✭P✮ ❆✳ ❈✐❡♣❧②✱ ❏✳ ❙♠❡❥❦❛❧✱ ◆✉❝❧✳ P❤②s✳ ❆ ✽✽✶ ✭✷✵✶✷✮ ✶✶✺ ❑②♦t♦✲▼✉♥✐❝❤ ✭❑▼✮ ❨✳ ■❦❡❞❛✱ ❚✳ ❍②♦❞♦✱ ❲✳ ❲❡✐s❡✱ ◆✉❝❧✳ P❤②s✳ ❆ ✽✽✶ ✭✷✵✶✷✮ ✾✽ ▼✉r❝✐❛ ✭▼✶ ❛♥❞ ▼✷✮ ❩✳ ❍✳ ●✉♦✱ ❏✳ ❆✳ ❖❧❧❡r✱ P❤②s✳ ❘❡✈✳ ❈ ✽✼✱ ✵✸✺✷✵✷ ✭✷✵✶✸✮ ❇♦♥♥ ✭❇✷ ❛♥❞ ❇✹✮ ▼✳ ▼❛✐✱ ❯✳✲●✳ ▼❡✐ÿ♥❡r✱ ◆✉❝❧✳ P❤②s✳ ❆ ✾✵✵ ✭✷✵✶✸✮ ✺✶ ✸

¯ KN ✐♥t❡r❛❝t✐♦♥ ¯ KN ✐♥t❡r❛❝t✐♦♥ ♠♦❞❡❧s 1.0 1.0 P - n amplitude (fm) YA - n amplitude (fm) 0.5 0.5 YA KM B2 P M2 KM M1 B4 0.0 0.0 M1 Imaginary K B2 Real K M2 -0.5 -0.5 B4 1350 1400 1450 1500 1350 1400 1450 1500 1/2 (MeV) 1/2 (MeV) s s ✹

¯ KN ✐♥t❡r❛❝t✐♦♥ ❑❛♦♥✐❝ ❛t♦♠s t❡st → ❡♥❡r❣②✲✐♥❞❡♣❡♥❞❡♥t ¯ KN ♣♦t❡♥t✐❛❧ ✭❆❨✮ ❝♦♥❢r♦♥t❡❞ ✇✐t❤ ❦❛♦♥✐❝ ❛t♦♠ ❞❛t❛✿ ♦♣t✐❝❛❧ ♣♦t❡♥t✐❛❧ ❝♦♥str✉❝t❡❞ ❢r♦♠ ❝♦rr❡s♣♦♥❞✐♥❣ ¯ KN ❛♠♣❧✐t✉❞❡s s✉♣♣❧❡♠❡♥t❡❞ ❜② ♣❤❡♥♦♠❡♥♦❧♦❣✐❝❛❧ K − ♠✉❧t✐♥✉❝❧❡♦♥ ♣♦t❡♥t✐❛❧ ♠♦❞❡❧ ❇✷ ❇✹ ▼✶ ▼✷ P ❑▼ ❆❨ χ ✷ ( ✻✺ ) ✶✶✶ ✶✵✺ ✶✷✶ ✶✵✾ ✶✷✺ ✶✷✸ ✶✺✵ ❝❛❧❝✉❧❛t❡❞ K − s✐♥❣❧❡✲♥✉❝❧❡♦♥ ❛❜s♦r♣t✐♦♥ ❢r❛❝t✐♦♥s ❛t t❤r❡s❤♦❧❞ ❛♥❞ ❝♦♠♣❛r❡❞ ✇✐t❤ ❡①♣❡r✐♠❡♥t❛❧ ❞❛t❛ ✺

¯ KN ✐♥t❡r❛❝t✐♦♥ ❑❛♦♥✐❝ ❛t♦♠s t❡st Kaonic atoms 1.0 YA 0.8 EXP KM &P 1N absorption fraction 0.6 upper M1 lower 0.4 0.2 0 20 40 60 80 100 Z ❋✐❣✳✶✿ ❈❛❧❝✉❧❛t❡❞ K − s✐♥❣❧❡✲♥✉❝❧❡♦♥ ❛❜s♦r♣t✐♦♥ ❢r❛❝t✐♦♥s ✐♥ t❤❡ ❆❨ ♠♦❞❡❧ ✭❞❡♥♦t❡❞ ❜② ❨❆✮ ❝♦♠♣❛r❡❞ ✇✐t❤ ❑▼✱ P✱ ❛♥❞ ▼✶ ❝❤✐r❛❧ ♠♦❞❡❧s✳ ❚❤❡ r❛♥❣❡ ♦❢ ❡①♣❡r✐♠❡♥t❛❧❧② ❞❡❞✉❝❡❞ ❢r❛❝t✐♦♥s ✐s ♠❛r❦❡❞ ❜② t❤❡ t✇♦ ❤♦r✐③♦♥t❛❧ ❞❛s❤❡❞ ❧✐♥❡s✳ ✻

¯ KN ✐♥t❡r❛❝t✐♦♥ ¯ KN ✐♥t❡r❛❝t✐♦♥ ✫ q✉❛s✐❜♦✉♥❞ st❛t❡s ❚❛❜❧❡✿ ( ¯ KN ) I = ✵ ✱ ( ¯ KNN ) I = ✶ / ✷ ❛♥❞ ( ¯ K ¯ KNN ) I = ✵ ❜✐♥❞✐♥❣ ❡♥❡r❣✐❡s B ❝❛❧❝✉❧❛t❡❞ ✉s✐♥❣ ❡♥❡r❣② ❞❡♣❡♥❞❡♥t ✭❊✲❞❡♣✳✮ ❛♥❞ ❡♥❡r❣② ✐♥❞❡♣❡♥❞❡♥t ✭❊✲✐♥❞❡♣✳✮ ¯ KN ♣♦t❡♥t✐❛❧s✳ ❚❤❡ ❜✐♥❞✐♥❣ ❡♥❡r❣✐❡s ❧✐st❡❞ ❢♦r ( ¯ K ¯ KNN ) I = ✵ ❛r❡ tr❛♥s❢♦r♠❡❞ ✐♥ t❤❡ ❧❛st r♦✇ t♦ B Λ ∗ Λ ∗ = B ( ¯ K ¯ KNN ) I = ✵ − ✷ B ( ¯ KN ) I = ✵ ✳ B ✭▼❡❱✮ ✭❊✲❞❡♣✳✮ ❬✶❪ ✭❊✲✐♥❞❡♣✳ ❆✮ ❬✷❪ ✭❊✲✐♥❞❡♣✳ ❇✮ ❬✷❪ ( ¯ KN ) I = ✵ ✶✶✳✹ ✷✻✳✻ ✻✹✳✷ ( ¯ KNN ) I = ✶ / ✷ ✶✺✳✼ ✺✶✳✺ ✶✵✷ ❬✸❪ ( ¯ K ¯ KNN ) I = ✵ ✸✷✳✶ ✾✸ ✶✾✵ Λ ∗ Λ ∗ ✾✳✸ ✹✵ ✻✷ ❬✶❪ ◆✳ ❇❛r♥❡❛✱ ❆✳ ●❛❧✱ ❊✳❩✳ ▲✐✈❡rts✱ P❤②s✳ ▲❡tt✳ ❇ ✼✶✷ ✭✷✵✶✷✮ ✶✸✷ ❬✷❪ ❙✳ ▼❛❡❞❛✱ ❨✳ ❆❦❛✐s❤✐✱ ❚✳ ❨❛♠❛③❛❦✐✱ Pr♦❝✳ ❏♣♥✳ ❆❝❛❞✳ ❙❡r✳ ❇ ✽✾ ✭✷✵✶✸✮ ✹✶✽ ❬✸❪ ❚✳ ❨❛♠❛③❛❦✐ ❡t ❛❧✳✱ P❤②s✳ ❘❡✈✳ ▲❡tt✳ ✶✵✹ ✭✷✵✶✵✮ ✶✸✷✺✵✷ ✼

Λ ∗ ♥✉❝❧❡✐ Λ ∗ Λ ∗ ✐♥t❡r❛❝t✐♦♥ Λ ∗ Λ ∗ ✐♥t❡r❛❝t✐♦♥ ❞❡s❝r✐❜❡❞ ❜② ❨✉❦❛✇❛ ♠❡s♦♥✲❡①❝❤❛♥❣❡ ♣♦t❡♥t✐❛❧s✿ ✶✮ ❉♦✈❡r✲●❛❧ ❈✳❇✳ ❉♦✈❡r✱ ❆✳ ●❛❧✱ Pr♦❣✳ P❛rt✳ ◆✉❝❧✳ P❤②s✳ ✶✷ ✭✶✾✽✹✮ ✶✼✶ m ✷ m ✷ ω Λ ∗ ( ✶ − ✶ σ Λ ∗ ( ✶ − ✶ V Λ ∗ Λ ∗ ( r ) = α ✷ ω g ✷ ) Y ω ( r ) − α ✷ σ g ✷ ω σ ) Y σ ( r ) M ✷ M ✷ ✽ ✽ Λ ∗ Λ ∗ � m ω ω Λ ∗ ✶ � + α ✷ ω g ✷ Y ω ( r )( � σ ✶ · � σ ✷ ) , ✻ M Λ ∗ ✷✮ ▼❛❝❤❧❡✐❞t ❘✳ ▼❛❝❤❧❡✐❞t✱ ❆❞✈✳ ◆✉❝❧✳ P❤②s✳ ✶✾ ✭✶✾✽✾✮ ✶✽✾ m ✷ m ✷ ω Λ ∗ ( ✶ − ✶ σ Λ ∗ ( ✶ − ✶ V Λ ∗ Λ ∗ ( r ) = α ✷ ω g ✷ ) Y ω ( r ) − α ✷ σ g ✷ ω σ ) Y σ ( r ) M ✷ M ✷ ✷ ✹ Λ ∗ Λ ∗ � m ω ω Λ ∗ ✶ � + α ✷ ω g ✷ Y ω ( r )( � σ ✶ · � σ ✷ ) , ✻ M Λ ∗ ✇❤❡r❡ Y i = σ,ω ( r ) = ❡①♣ ( − m i r ) / ( ✹ π r ) ❛♥❞ M Λ ∗ = ✶✹✵✺ ▼❡❱ ✽

Λ ∗ ♥✉❝❧❡✐ Λ ∗ Λ ∗ ✐♥t❡r❛❝t✐♦♥ s❝❛❧✐♥❣ ❡✐t❤❡r g σ Λ ∗ ♦r g ω Λ ∗ ✐♥ ♦r❞❡r t♦ ❣❡t B Λ ∗ Λ ∗ = ✹✵ ▼❡❱ ❢❡✇✲❜♦❞② ❝❛❧❝✉❧❛t✐♦♥s ✭ A ≤ ✻✮ ♣❡r❢♦r♠❡❞ ✉s✐♥❣ ❙t♦❝❤❛st✐❝ ❱❛r✐❛t✐♦♥❛❧ ▼❡t❤♦❞ ✭❙❱▼✮ ✇✐t❤ ▼❛❝❤❧❡✐❞t ❛♥❞ ❉♦✈❡r✲●❛❧ ♣♦t❡♥t✐❛❧s s✐♠✐❧❛r ❙❱▼ ❝❛❧❝✉❧❛t✐♦♥s ❞♦♥❡ ❜② ❆❦❛✐s❤✐ ❛♥❞ ❨❛♠❛③❛❦✐ ✉s✐♥❣ ▼❛❝❤❧❡✐❞t ♣♦t❡♥t✐❛❧ ❜✉t ♥❡❣❧❡❝t✐♥❣ t❤❡ s♣✐♥✲s♣✐♥ ✐♥t❡r❛❝t✐♦♥ ❨✳ ❆❦❛✐s❤✐✱ ❚✳ ❨❛♠❛③❛❦✐✱ ❛r❳✐✈✿✶✾✵✸✳✶✵✻✽✼ ❬♥✉❝❧✲t❤❪ ❚❛❜❧❡✿ ❚❤❡ ✈❛❧✉❡s ♦❢ t❤❡ s❝❛❧✐♥❣ ♣❛r❛♠❡t❡rs α σ ❛♥❞ α ω ❢♦r σ ❛♥❞ ω ✜❡❧❞s✱ r❡s♣❡❝t✐✈❡❧②✳ α σ α ω V Λ ∗ Λ ∗ ▼❛❝❤❧❡✐❞t ✶✳✵✾✶✸ ✵✳✽✽✽✾ ❉♦✈❡r✲●❛❧ ✶✳✵✸✸✷ ✵✳✾✼✺✵ ✾