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❈♦✉♣❧❡❞ ❝❤❛♥♥❡❧ ❞②♥❛♠✐❝s ❢♦r ▲❍❈❜ ♣❡♥t❛q✉❛r❦s ❚✐♠ ❇✉r♥s ❙✇❛♥s❡❛ ❯♥✐✈❡rs✐t② ✶✾ ❏✉♥❡ ✷✵✶✾ ❬❚✳❇✳✱ ❊✉r✳P❤②s✳❏✳ ❆✺✶✱ ✶✺✷ ✭✷✵✶✺✮✱ ✶✺✵✾✳✵✷✹✻✵❪ ❬❚✳❇✳ ✫ ❊✳❙✇❛♥s♦♥✱ ♦♥❣♦✐♥❣❪

❈♦♥✈❡♥t✐♦♥❛❧ ❛♥❞ ❡①♦t✐❝ ❤❛❞r♦♥s

❈♦♥✈❡♥t✐♦♥❛❧ ❛♥❞ ❡①♦t✐❝ ❤❛❞r♦♥s ❇❛r②♦♥s ▼❡s♦♥s

❈♦♥✈❡♥t✐♦♥❛❧ ❛♥❞ ❡①♦t✐❝ ❤❛❞r♦♥s ❇❛r②♦♥s ▼❡s♦♥s

❈♦♠♣❛❝t ♠✉❧t✐q✉❛r❦s ❍❛❞r♦♥✐❝ ♠♦❧❡❝✉❧❡s ❚❤r❡s❤♦❧❞ ❡✛❡❝t ❈♦♥✈❡♥t✐♦♥❛❧ ❛♥❞ ❡①♦t✐❝ ❤❛❞r♦♥s ❍②❜r✐❞s

❍❛❞r♦♥✐❝ ♠♦❧❡❝✉❧❡s ❚❤r❡s❤♦❧❞ ❡✛❡❝t ❈♦♥✈❡♥t✐♦♥❛❧ ❛♥❞ ❡①♦t✐❝ ❤❛❞r♦♥s ❍②❜r✐❞s ❈♦♠♣❛❝t ♠✉❧t✐q✉❛r❦s

❚❤r❡s❤♦❧❞ ❡✛❡❝t ❈♦♥✈❡♥t✐♦♥❛❧ ❛♥❞ ❡①♦t✐❝ ❤❛❞r♦♥s ❍②❜r✐❞s ❈♦♠♣❛❝t ♠✉❧t✐q✉❛r❦s ❍❛❞r♦♥✐❝ ♠♦❧❡❝✉❧❡s

❈♦♥✈❡♥t✐♦♥❛❧ ❛♥❞ ❡①♦t✐❝ ❤❛❞r♦♥s ❍②❜r✐❞s ❈♦♠♣❛❝t ♠✉❧t✐q✉❛r❦s ❍❛❞r♦♥✐❝ ♠♦❧❡❝✉❧❡s ❚❤r❡s❤♦❧❞ ❡✛❡❝t

❉❡✉t❡r♦♥ ◮ ✷✳✷ ▼❡❱ ❜❡❧♦✇ pn t❤r❡s❤♦❧❞ ◮ I = ✵✱ J P = ✶ + ✈s✳ ◮ ❘❡❧❡✈❛♥t ❞❡❣r❡❡s ♦❢ ❢r❡❡❞♦♠ ❛r❡ p ❛♥❞ n ◮ ❇✐♥❞✐♥❣ ❞♦♠✐♥❛t❡❞ ❜② π ❡①❝❤❛♥❣❡

❍❛❞r♦♥✐❝ ♠♦❧❡❝✉❧❡s Λ c N , Σ ( ∗ ) c N ▼♦❧❡❝✉❧❡s ▲✐✉ ❖❦❛ ✶✷ D ∗ ¯ D ( ∗ ) ❱♦❧♦s❤✐♥ ❖❦✉♥ ✼✻ ▼❛❡❞❛ ❡t ❛❧ ✶✻ ❙✇❛♥s♦♥ ✵✹ ❞❡ ❘✉❥✉❧❛ ❡t ❛❧ ✼✼ ❚♦r♥q✈✐st ✵✹ NB ( ∗ ) ✱ N ¯ D ( ∗ ) ❚♦r♥q✈✐st ✾✶✱ ✾✹ ❇r❛❛t❡♥ ❑✉s✉♥♦❦✐ ✵✹✱ ✵✺ ❨❛s✉✐ ❙✉❞♦❤ ✵✾ ❊r✐❝s♦♥ ❑❛r❧ ✾✸ ❙✉③✉❦✐ ✵✺ ❨❛♠❛❣✉❝❤✐ ❡t ❛❧ ✶✶✱ ✶✷ ❉✐♥❣ ▲✐✉ ❨❛♥ ✵✾ ❇r❛❛t❡♥ ▲✉ ▲❡❡ ✵✼ ❘❛t❤❛✉❞ ❘❛✐ ✶✻ Σ ( ∗ ) ¯ ❇r❛❛t❡♥ ✵✽ D ∗ c ▲✐✉ ❩❛❤❡❞ ✶✻ ▲✐✉ ❡t ❛❧ ✵✽ ❲❛♥❣ ❡t ❛❧ ✶✶ ❈❧♦s❡ ❚❤♦♠❛s ✵✽ ❨❛♥❣ ❡t ❛❧ ✶✶ ❘❡✈✐❡✇s ❉♦♥❣ ❡t ❛❧ ✵✾ ❑❛r❧✐♥❡r ❘♦s♥❡r ✶✺ ▲✐✉ ❡t ❛❧ ✵✾ ▲❡❡ ❡t ❛❧ ✵✾ ❈❤❡♥ ▲✐✉ ❩❤✉ ✶✻ ▲✐✉ ❩❤❛♥❣ ✵✾ ❇❛r✉ ❡t ❛❧ ✶✶ ❨❛♠❛❣✉❝❤✐ ❙❛♥t♦♣✐♥t♦ ✶✻ ❙✉♥ ❡t ❛❧ ✶✶ ▲✐ ❩❤✉ ✶✷ ❨❛♠❛❣✉❝❤✐ ❡t ❛❧ ✶✼ ▲✐ ❡t ❛❧ ✶✷ ❑❛❧❛s❤♥✐❦♦✈❛ ◆❡❢❡❞✐❡✈ ✶✸ ❙❤✐♠✐③✉ ❍❛r❛❞❛ ✶✼ ❉♦♥❣ ❡t ❛❧ ✶✼ ●✉♦ ❡t ❛❧ ✶✹ ●✉♦ ❡t ❛❧ ✶✼ Ξ ( ′∗ ) ¯ D ( ∗ ) c ❈❤❡♥ ❍❡ ▲✐✉ ✶✻

▲❍❈❜ ✏♣❡♥t❛q✉❛r❦s✑

✷✵✶✺✿ P c ( ✹✸✽✵ ) ❛♥❞ P c ( ✹✹✺✵ ) ▲❍❈❜ ❛♠♣❧✐t✉❞❡ ❛♥❛❧②s✐s ♦❢ t❤❡ t❤r❡❡✲❜♦❞② ❞❡❝❛② Λ b → J /ψ pK − ✳ ❬▲❍❈❜✱P❘▲✶✶✺✱✵✼✷✵✵✶✱✷✵✶✺❪ u d p u u u ¯ d K − s b c ¯ J / ψ c ❚✇♦ J / ψ p st❛t❡s✱ t❤❡ ✢❛✈♦✉r ♦❢ t❤❡ ♣r♦t♦♥ ✇✐t❤ ❤✐❞❞❡♥ ❝❤❛r♠ ✭ uudc ¯ c ✮✳

✷✵✶✺✿ P c ( ✹✸✽✵ ) ❛♥❞ P c ( ✹✹✺✵ ) ▲❍❈❜ ❛♠♣❧✐t✉❞❡ ❛♥❛❧②s✐s ♦❢ t❤❡ t❤r❡❡✲❜♦❞② ❞❡❝❛② Λ b → J /ψ pK − ✳

✷✵✶✺✿ P c ( ✹✸✽✵ ) ❛♥❞ P c ( ✹✹✺✵ ) ❚✇♦ st❛t❡s ✇✐t❤ ✢❛✈♦✉r ♦❢ t❤❡ ♣r♦t♦♥✱ ❜✉t ✏❤✐❞❞❡♥ ❝❤❛r♠✑✿ uudc ¯ c ✳

✷✵✶✾✿ P c ( ✹✸✶✷ ) ✱ P c ( ✹✹✹✵ ) ✱ P c ( ✹✹✺✼ )

✷✵✶✾✿ P c ( ✹✸✶✷ ) ✱ P c ( ✹✹✹✵ ) ✱ P c ( ✹✹✺✼ )

◆❡❛r❜② t❤r❡s❤♦❧❞s

◆❡❛r❜② t❤r❡s❤♦❧❞s

◆❡❛r❜② t❤r❡s❤♦❧❞s

◆❡❛r❜② t❤r❡s❤♦❧❞s

◆❡❛r❜② t❤r❡s❤♦❧❞s

◆❡❛r❜② t❤r❡s❤♦❧❞s

❇✐♥❞✐♥❣ ✐♥ ❤❛❞r♦♥✐❝ ♠♦❧❡❝✉❧❡s

✸ ✶ ✷ ✶ ✶ ✶ ❇♦t❤ ❛♣♣r♦❛❝❤❡s ❤❛✈❡ t❤❡ s❛♠❡ ❣❡♥❡r✐❝ ❢♦r♠ ❍❡❛✈② q✉❛r❦ ❛♥❞ ❝❤✐r❛❧ s②♠♠❡tr② ❝✳❢✳ q✉❛r❦ ♠♦❞❡❧ N → N π g NN π � σ · � q � τ · � π Σ c → Σ c π q � g Σ c Σ c π � σ · � T · � π D ∗ → D ∗ π g D ∗ D ∗ π � ǫ · � q � τ · � π

❇♦t❤ ❛♣♣r♦❛❝❤❡s ❤❛✈❡ t❤❡ s❛♠❡ ❣❡♥❡r✐❝ ❢♦r♠ ❍❡❛✈② q✉❛r❦ ❛♥❞ ❝❤✐r❛❧ s②♠♠❡tr② ❝✳❢✳ q✉❛r❦ ♠♦❞❡❧ N → N π ✸ � g NN π � σ · � q � τ · � π g qq π � σ i · � q � τ i · � π i = ✶ Σ c → Σ c π ✷ � q � g Σ c Σ c π � σ · � T · � π g qq π � σ i · � q � τ i · � π i = ✶ D ∗ → D ∗ π g D ∗ D ∗ π � ǫ · � q � τ · � π g qq π � σ ✶ · � q � τ ✶ · � π

❍❡❛✈② q✉❛r❦ ❛♥❞ ❝❤✐r❛❧ s②♠♠❡tr② ❝✳❢✳ q✉❛r❦ ♠♦❞❡❧ N → N π ✸ � g NN π � σ · � q � τ · � π g qq π � σ i · � q � τ i · � π i = ✶ Σ c → Σ c π ✷ � q � g Σ c Σ c π � σ · � T · � π g qq π � σ i · � q � τ i · � π i = ✶ D ∗ → D ∗ π g D ∗ D ∗ π � ǫ · � q � τ · � π g qq π � σ ✶ · � q � τ ✶ · � π ❇♦t❤ ❛♣♣r♦❛❝❤❡s ❤❛✈❡ t❤❡ s❛♠❡ ❣❡♥❡r✐❝ ❢♦r♠ g � q � Σ · � T · � π

❖♥❡✲♣✐♦♥ ❡①❝❤❛♥❣❡ ♣♦t❡♥t✐❛❧ c c u u Λ c , Σ c , Σ ∗ c d d π + π D , ¯ ¯ u u D ∗ c ¯ c ¯ ❈♦✉♣❧❡❞✲❝❤❛♥♥❡❧s✱ ♠✐①✐♥❣ ❛♥❣✉❧❛r ♠♦♠❡♥t❛ ❛♥❞ ♣❛rt✐❝❧❡s✱ ❡✳❣✳ Σ c ¯ D ∗ ( ✷ ❙ ✶ / ✷ ) → Σ c ¯ D ∗ ( ✹ ❉ ✶ / ✷ ) Σ c ¯ D ∗ ( ✷ ❙ ✶ / ✷ ) → Λ c ¯ D ( ✷ ❙ ✶ / ✷ ) ❜✉t ✜rst ❝♦♥s✐❞❡r ✜rst ❡❧❛st✐❝ ❝❤❛♥♥❡❧s ♦♥❧② ◮ Λ c Λ c π ✈❡rt❡① ✐s ❢♦r❜✐❞❞❡♥ ✭✐s♦s♣✐♥✮ ◮ ¯ D ¯ D π ✈❡rt❡① ✐s ❢♦r❜✐❞❞❡♥ ✭s♣✐♥✲♣❛r✐t②✮

❖♥❡✲♣✐♦♥ ❡①❝❤❛♥❣❡ ♣♦t❡♥t✐❛❧ c c u u Λ c , Σ c , Σ ∗ c d d π + π D , ¯ ¯ u u D ∗ c ¯ c ¯ ❈♦✉♣❧❡❞✲❝❤❛♥♥❡❧s✱ ♠✐①✐♥❣ ❛♥❣✉❧❛r ♠♦♠❡♥t❛ ❛♥❞ ♣❛rt✐❝❧❡s✱ ❡✳❣✳ Σ c ¯ D ∗ ( ✷ ❙ ✶ / ✷ ) → Σ c ¯ D ∗ ( ✹ ❉ ✶ / ✷ ) Σ c ¯ D ∗ ( ✷ ❙ ✶ / ✷ ) → Λ c ¯ D ( ✷ ❙ ✶ / ✷ ) ❜✉t ✜rst ❝♦♥s✐❞❡r ✜rst ❡❧❛st✐❝ ❝❤❛♥♥❡❧s ♦♥❧② ◮ Λ c Λ c π ✈❡rt❡① ✐s ❢♦r❜✐❞❞❡♥ ✭✐s♦s♣✐♥✮ ◮ ¯ D ¯ D π ✈❡rt❡① ✐s ❢♦r❜✐❞❞❡♥ ✭s♣✐♥✲♣❛r✐t②✮

❖♥❡✲♣✐♦♥ ❡①❝❤❛♥❣❡ ♣♦t❡♥t✐❛❧ c c u u Λ c , Σ c , Σ ∗ c d d π + π D , ¯ ¯ u u D ∗ c ¯ c ¯ ❈♦✉♣❧❡❞✲❝❤❛♥♥❡❧s✱ ♠✐①✐♥❣ ❛♥❣✉❧❛r ♠♦♠❡♥t❛ ❛♥❞ ♣❛rt✐❝❧❡s✱ ❡✳❣✳ Σ c ¯ D ∗ ( ✷ ❙ ✶ / ✷ ) → Σ c ¯ D ∗ ( ✹ ❉ ✶ / ✷ ) Σ c ¯ D ∗ ( ✷ ❙ ✶ / ✷ ) → Λ c ¯ D ( ✷ ❙ ✶ / ✷ ) ❜✉t ✜rst ❝♦♥s✐❞❡r ✜rst ❡❧❛st✐❝ ❝❤❛♥♥❡❧s ♦♥❧② ◮ Λ c Λ c π ✈❡rt❡① ✐s ❢♦r❜✐❞❞❡♥ ✭✐s♦s♣✐♥✮ ◮ ¯ D ¯ D π ✈❡rt❡① ✐s ❢♦r❜✐❞❞❡♥ ✭s♣✐♥✲♣❛r✐t②✮

❘❡str✐❝t✐♥❣ t❤❡ s♣❡❝tr✉♠

❘❡str✐❝t✐♥❣ t❤❡ s♣❡❝tr✉♠