1. Neutrino (Antineutrino) scattering
on the nucleon with strangeness form factors
in the context of
the recent MiniBooNE and NOMAD experiments
Ghil-Seok Yang
(SSANP: Soongsil Univ. Astro-Nuclear Physics Group)
Soongsil University, Seoul
in collaboration with
Myung-Ki Cheoun (SSU ANP) Kyungsik Kim (KAU)
HaPhy, 18 July APCTP

2. Why we consider neutrinos(ν) ?
● Neutrinos can interact with other matter through weak force.
● Very small cross-section
● Extremely small mass.
However,
Tremendous numbers of ν and ν are produced in the collapsing stellar core.
Also 99% of the energy is carried away by ν and ν from a core-collapse SN .
(1046 Joule: 10% mass of SN left, 10 sec)
Woosley, S. (2005), Nature Physics 1 (3): 147–154,
Barwick, S.; et al., APS Neutrino Study,
S. Myra Astrophysical Journal 364: 222–231
“Inelastic neutral current neutrino scattering off nuclei”
The excitation of particle unbound states
that decay by neutron, proton, or α-emission

3. Axial-mass, Strange couplings
ν -induced
Nucleosynthesis
layer structure
(Prof. Kwak) +
Nuclear network-cal.
(SSU)
MSW, ν-oscillation,…
(NAOJ, PEHLIVAN)
Fig. from Prof. Kajino (NAOJ, Tokyo U.)
ν-A QE Scattering with
Axial-mass, Strange couplings
by Nuclear Structure effect (RFG, …) + Flux

4. 𝜈 𝜇 , 𝜈 𝜇 charged-current (CC) quasielastic (CCQE) scattering
ν-N (quasi)elastic scattering in MiniBooNE and NOMAD
𝜈 𝜇 , 𝜈 𝜇 charged-current (CC) quasielastic (CCQE) scattering
𝜈 𝜇 , 𝜈 𝜇 Neutral-current (NC) quasielastic (NCQE) scattering

5. Summary of axial mass, MA experiments
MA = ~ 1.32 GeV ? OPEN PROBLEM !

6. Theoretical framework for neutrino scattering with nuclei
Standard electro-weak theory
where

7. Relativistic Fermi Gas (RFG) Model
ν-Nuclear target reaction (RFG) : Smith, Moniz (SLAC, 1972)
First study with nucleon strangeness
: H.C.Kim, Horowitz (1993, 1995) for ν-N CCQE

8. Neutrino Flux (2010, MiniBooNE)
ν-Nuclear target reaction (RFG) : Smith, Moniz (SLAC, 1972)
First study with nucleon strangeness
: H.C.Kim, Horowitz (1993, 1995) for ν-N CCQE

9. Result (CC) RFG + Flux + MA Differential cross section
With 𝑴𝑨 = 𝟏.𝟎𝟑 𝑮𝒆𝑽
Differential cross section
for the 𝝂 𝝁 , 𝝂 𝝁 CCQE process
from MiniBooNE
RFG + Flux + MA
­━━ 𝝂 𝝁 flux-folded
𝝂 𝝁 flux-unfolded
━━ 𝝂 𝝁 flux-folded
𝝂 𝝁 flux-unfolded
With 𝑴𝑨 = 𝟏.30 𝑮𝒆𝑽
­━━ 𝝂 𝝁 flux-folded
𝝂 𝝁 flux-unfolded
━━ 𝝂 𝝁 flux-folded
𝝂 𝝁 flux-unfolded

11. RFG model estimated by MiniBooNe, 2013

12. Total cross section for the 𝝂 𝝁 , 𝝂 𝝁 CCQE process from MiniBooNE, NOMAD
­ 𝝂 𝝁 ( 𝑴 𝑨 =𝟏.𝟑𝟎 GeV)
━━ 𝝂 𝝁 ( 𝑴 𝑨 =𝟏.𝟎𝟑 GeV)
𝝂 𝝁 ( 𝑴 𝑨 =𝟏.𝟑𝟎 GeV)
━━ 𝝂 𝝁 ( 𝑴 𝑨 =𝟏.𝟎𝟑 GeV)
Cheoun, Kim
J. Phys. G: Nucl. Part. Phys.
42 (2015)

13. free nucleon target + dipole FF Form factor problem ???
Gaisser, O’Connell,
Phys. Rev D 34, 822 (1986)
free nucleon target
+ modified dipole FF

14. flux-folded flux-folded
sin 𝟐 𝜃 𝑊 →0.23, F1s → 0.5, μs → 0.4, 𝒈 𝑨 𝒔 → 0.2
━━ : Exp. from MiniBooNE
----- : 𝑴 𝑨 =𝟏.𝟎𝟑 𝐆𝐞𝐕
­········ : 𝑴 𝑨 =𝟏.𝟑𝟎 GeV
flux-folded
flux-folded

15. flux-folded flux-folded
sin 𝟐 𝜃 𝑊 →0.23, F1s → 0.5, μs → 0.4, 𝒈 𝑨 𝒔 → 0.2
flux-folded
━━ : Exp. from MiniBooNE
----- : 𝑴 𝑨 =𝟏.𝟎𝟑 𝐆𝐞𝐕
­········ : 𝑴 𝑨 =𝟏.𝟑𝟎 GeV
flux-folded

16. Summary Thank you 감사합니다 Danke schön
Investigated the ν-N QE scattering for CC and NC reactions
within electroweak theory and FG considering ν flux
Nuclear structure is significant for describing the exp.data.
MA and strangeness couplings are crucial for ν-N QE
ANC/CC, RNC/CC give us more precise strangeness information
ν-N scattering will be studied
with Massive Neutrino, Majorana particle and High-Energy reaction
and will be applied to SuperNova nucleosynthesis
Thank you
Danke schön
감사합니다